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Lu ZW, Guo L, Li ZZ, Ababekri M, Chen FQ, Fu C, Lv C, Xu R, Kong X, Niu YF, Li JX. Manipulation of Giant Multipole Resonances via Vortex γ Photons. PHYSICAL REVIEW LETTERS 2023; 131:202502. [PMID: 38039451 DOI: 10.1103/physrevlett.131.202502] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/14/2023] [Revised: 08/05/2023] [Accepted: 09/15/2023] [Indexed: 12/03/2023]
Abstract
Traditional photonuclear reactions primarily excite giant dipole resonances, making the measurement of isovector giant resonances with higher multipolarities a great challenge. In this Letter, the manipulation of collective excitations of different multipole transitions in even-even nuclei via vortex γ photons is investigated. We develop the calculation method for photonuclear cross sections induced by the vortex γ photon beam using the fully self-consistent random-phase approximation plus particle-vibration coupling (RPA+PVC) model based on Skyrme density functional. We find that the electromagnetic transitions with multipolarity J<|m_{γ}| are forbidden for vortex γ photons due to the angular momentum conservation, with m_{γ} being the projection of total angular momentum of γ photon on its propagation direction. For instance, this allows for probing the isovector giant quadrupole resonance without interference from dipole transitions using vortex γ photons with m_{γ}=2. Furthermore, the electromagnetic transition with J=|m_{γ}|+1 vanishes at a specific polar angle. Therefore, the giant resonances with specific multipolarity can be extracted via vortex γ photons. Moreover, the vortex properties of γ photons can be meticulously diagnosed by measuring the nuclear photon-absorption cross section. Our method opens new avenues for photonuclear excitations, generation of coherent γ photon laser and precise detection of vortex particles, and consequently, has significant impact on nuclear physics, nuclear astrophysics and strong laser physics.
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Affiliation(s)
- Zhi-Wei Lu
- Ministry of Education Key Laboratory for Nonequilibrium Synthesis and Modulation of Condensed Matter, Shaanxi Province Key Laboratory of Quantum Information and Quantum Optoelectronic Devices, School of Physics, Xi'an Jiaotong University, Xi'an 710049, China
| | - Liang Guo
- School of Nuclear Science and Technology, Lanzhou University, Lanzhou 730000, China
- Frontiers Science Center for Rare Isotopes, Lanzhou University, Lanzhou 730000, China
| | - Zheng-Zheng Li
- School of Nuclear Science and Technology, Lanzhou University, Lanzhou 730000, China
- Frontiers Science Center for Rare Isotopes, Lanzhou University, Lanzhou 730000, China
| | - Mamutjan Ababekri
- Ministry of Education Key Laboratory for Nonequilibrium Synthesis and Modulation of Condensed Matter, Shaanxi Province Key Laboratory of Quantum Information and Quantum Optoelectronic Devices, School of Physics, Xi'an Jiaotong University, Xi'an 710049, China
| | - Fang-Qi Chen
- School of Nuclear Science and Technology, Lanzhou University, Lanzhou 730000, China
- Frontiers Science Center for Rare Isotopes, Lanzhou University, Lanzhou 730000, China
| | - Changbo Fu
- Key Laboratory of Nuclear Physics and Ion-beam Application (MoE), Institute of Modern Physics, Fudan University, Shanghai 200433, China
| | - Chong Lv
- Department of Nuclear Physics, China Institute of Atomic Energy, P.O. Box 275(7), Beijing 102413, China
| | - Ruirui Xu
- China Nuclear Data Center, China Institute of Atomic Energy, P.O. Box 275(41), Beijing 102413, China
| | - Xiangjin Kong
- Key Laboratory of Nuclear Physics and Ion-beam Application (MoE), Institute of Modern Physics, Fudan University, Shanghai 200433, China
| | - Yi-Fei Niu
- School of Nuclear Science and Technology, Lanzhou University, Lanzhou 730000, China
- Frontiers Science Center for Rare Isotopes, Lanzhou University, Lanzhou 730000, China
| | - Jian-Xing Li
- Ministry of Education Key Laboratory for Nonequilibrium Synthesis and Modulation of Condensed Matter, Shaanxi Province Key Laboratory of Quantum Information and Quantum Optoelectronic Devices, School of Physics, Xi'an Jiaotong University, Xi'an 710049, China
- Department of Nuclear Physics, China Institute of Atomic Energy, P.O. Box 275(7), Beijing 102413, China
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Bera J, Batin AQ, Ghosh S, Malomed B, Roy U. Generation of higher harmonics in dipolar Bose-Einstein condensates trapped in periodically modulated potentials. PHILOSOPHICAL TRANSACTIONS. SERIES A, MATHEMATICAL, PHYSICAL, AND ENGINEERING SCIENCES 2023; 381:20220075. [PMID: 36842989 DOI: 10.1098/rsta.2022.0075] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/21/2022] [Accepted: 09/26/2022] [Indexed: 06/18/2023]
Abstract
We consider a quasi-one-dimensional Bose-Einstein condensate with contact and long-range dipolar interactions, under the action of the time-periodic modulation applied to the harmonic-oscillator and optical-lattice trapping potentials. The modulation results in generation of a variety of harmonics in oscillations of the condensate's width and centre-of-mass coordinate. These include multiple and combinational harmonics, represented by sharp peaks in the system's spectra. Approximate analytical results are produced by the variational method, which are verified by systematic simulations of the underlying Gross-Pitaevskii equation. This article is part of the theme issue 'New trends in pattern formation and nonlinear dynamics of extended systems'.
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Affiliation(s)
- Jayanta Bera
- Department of Physics, C. V. Raman Global University, Bhubaneswar 752054, Odisha, India
| | - Abdul Q Batin
- Department of Physics, Indian Institute of Technology Patna,Patna 801106, Bihar, India
| | - Suranjana Ghosh
- Department of Physics, Indian Institute of Science Education and Research Kolkata, Mohanpur 741246, West Bengal, India
| | - Boris Malomed
- Department of Physical Electronics, School of Electrical Engineering, Faculty of Engineering, and Center for Light-Matter Interaction, Tel Aviv University, P.O.B. 39040, Ramat Aviv, Tel Aviv, Israel
- Instituto de Alta Investigación, Universidad de Tarapacá, Casilla 7D, Arica, Chile
| | - Utpal Roy
- Department of Physics, Indian Institute of Technology Patna,Patna 801106, Bihar, India
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Tabi CB, Wamba E, Nare E, Kofané TC. Interplay between spin-orbit couplings and residual interatomic interactions in the modulational instability of two-component Bose-Einstein condensates. Phys Rev E 2023; 107:044206. [PMID: 37198763 DOI: 10.1103/physreve.107.044206] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/31/2022] [Accepted: 03/21/2023] [Indexed: 05/19/2023]
Abstract
The nonlinear dynamics induced by the modulation instability (MI) of a binary mixture in an atomic Bose-Einstein condensate (BEC) is investigated theoretically under the joint effects of higher-order residual nonlinearities and helicoidal spin-orbit (SO) coupling in a regime of unbalanced chemical potential. The analysis relies on a system of modified coupled Gross-Pitaevskii equations on which the linear stability analysis of plane-wave solutions is performed, from which an expression of the MI gain is obtained. A parametric analysis of regions of instability is carried out, where effects originating from the higher-order interactions and the helicoidal spin-orbit coupling are confronted under different combinations of the signs of the intra- and intercomponent interaction strengths. Direct numerical calculations on the generic model support our analytical predictions and show that the higher-order interspecies interaction and the SO coupling can balance each other suitably for stability to take place. Mainly, it is found that the residual nonlinearity preserves and reinforces the stability of miscible pairs of condensates with SO coupling. Additionally, when a miscible binary mixture of condensates with SO coupling is modulationally unstable, the presence of residual nonlinearity may help soften such instability. Our results finally suggest that MI-induced formation of stable solitons in mixtures of BECs with two-body attraction may be preserved by the residual nonlinearity even though the latter enhances the instability.
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Affiliation(s)
- Conrad Bertrand Tabi
- Department of Physics and Astronomy, Botswana International University of Science and Technology, Private Mail Bag 16, Palapye, Botswana
| | - Etienne Wamba
- Faculty of Engineering and Technology, University of Buea, P.O. Box 63, Buea, Cameroon
- STIAS, Wallenberg Research Centre, Stellenbosch University, Stellenbosch 7600, South Africa
| | - Emmanual Nare
- Department of Physics and Astronomy, Botswana International University of Science and Technology, Private Mail Bag 16, Palapye, Botswana
| | - Timoléon Crépin Kofané
- Department of Physics and Astronomy, Botswana International University of Science and Technology, Private Mail Bag 16, Palapye, Botswana
- Laboratory of Mechanics, Department of Physics, Faculty of Science, University of Yaoundé I, P.O. Box 812, Yaoundé, Cameroon
- Centre d'Excellence Africain en Technologies de l'Information et de la Communication, University of Yaoundé I, Yaoundé, Cameroon
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Al-Jibbouri HJH. Low-lying modes of trapped condensed atoms in anharmonic trap. KARBALA INTERNATIONAL JOURNAL OF MODERN SCIENCE 2016. [DOI: 10.1016/j.kijoms.2016.03.002] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/26/2022] Open
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Zhang C, Dudarev AM, Niu Q. Berry phase effects on the dynamics of quasiparticles in a superfluid with a vortex. PHYSICAL REVIEW LETTERS 2006; 97:040401. [PMID: 16907553 DOI: 10.1103/physrevlett.97.040401] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/05/2005] [Indexed: 05/11/2023]
Abstract
We study quasiparticle dynamics in a Bose-Einstein condensate with a vortex by following the center of mass motion of a Bogoliubov wave packet, and find important Berry-phase effects due to the background flow. We show that the Berry phase invalidates the usual canonical relation between the mechanical momentum and position variables, leading to important modifications of quasiparticle statistics and thermodynamic properties of the condensates. Applying these results to a vortex in an infinite uniform superfluid, we find that the total transverse force acting on the vortex is proportional to the superfluid density. We propose an experimental setup to directly observe Berry phase effects through measuring local thermal atoms' momentum distribution around a vortex.
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Affiliation(s)
- Chuanwei Zhang
- Department of Physics, The University of Texas, Austin, Texas 78712-1081, USA
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Morgan SA, Rusch M, Hutchinson DAW, Burnett K. Quantitative test of thermal field theory for Bose-Einstein condensates. PHYSICAL REVIEW LETTERS 2003; 91:250403. [PMID: 14754100 DOI: 10.1103/physrevlett.91.250403] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/22/2003] [Indexed: 05/24/2023]
Abstract
We present numerical results from a second-order quantum field theory of Bose-Einstein condensates applied to the 1997 JILA experiment [Phys. Rev. Lett. 78, 764 (1997)]]. Good agreement is found for the energies and decay rates for both the lowest-energy m=2 and m=0 modes. The anomalous behavior of the m=0 mode is due to experimental perturbation of the noncondensate. The theory is gapless and includes the coupled dynamics of the condensate and thermal cloud, the anomalous pair average, and all relevant finite size effects.
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Affiliation(s)
- S A Morgan
- Department of Physics and Astronomy, University College London, Gower Street, London WC1E 6BT, United Kingdom
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Taylor KT. Computational challenges in atomic, molecular and optical physics. PHILOSOPHICAL TRANSACTIONS. SERIES A, MATHEMATICAL, PHYSICAL, AND ENGINEERING SCIENCES 2002; 360:1135-1147. [PMID: 12804270 DOI: 10.1098/rsta.2002.0996] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/24/2023]
Abstract
Six challenges are discussed. These are the laser-driven helium atom; the laser-driven hydrogen molecule and hydrogen molecular ion; electron scattering (with ionization) from one-electron atoms; the vibrational and rotational structure of molecules such as H(3)(+) and water at their dissociation limits; laser-heated clusters; and quantum degeneracy and Bose-Einstein condensation. The first four concern fundamental few-body systems where use of high-performance computing (HPC) is currently making possible accurate modelling from first principles. This leads to reliable predictions and support for laboratory experiment as well as true understanding of the dynamics. Important aspects of these challenges addressable only via a terascale facility are set out. Such a facility makes the last two challenges in the above list meaningfully accessible for the first time, and the scientific interest together with the prospective role for HPC in these is emphasized.
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Affiliation(s)
- Kenneth T Taylor
- Department of Applied Mathematics and Theoretical Physics, Queen's University Belfast, Belfast BT7 1NN, UK
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Adhikari SK. Collapse of attractive Bose-Einstein condensed vortex states in a cylindrical trap. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2002; 65:016703. [PMID: 11800816 DOI: 10.1103/physreve.65.016703] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/29/2001] [Indexed: 05/23/2023]
Abstract
The quantized vortex states of a weakly interacting Bose-Einstein condensate of atoms with attractive interatomic interaction in an axially symmetric harmonic oscillator trap are investigated using the numerical solution of the time-dependent Gross-Pitaevskii equation obtained by the semi-implicit Crank-Nicholson method. The collapse of the condensate is studied in the presence of deformed traps with the larger frequency along either the radial or the axial direction. The critical number of atoms for collapse is calculated as a function of the vortex quantum number L. The critical number increases with increasing angular momentum L of the vortex state but tends to saturate for large L.
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Affiliation(s)
- Sadhan K Adhikari
- Instituto de Física Teórica, Universidade Estadual Paulista, 01.405-900 São Paulo, São Paulo, Brazil
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Geltman S, Bambini A. Triplet scattering lengths for rubidium and their role in Bose-Einstein condensation. PHYSICAL REVIEW LETTERS 2001; 86:3276-3279. [PMID: 11327949 DOI: 10.1103/physrevlett.86.3276] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/15/2000] [Indexed: 05/23/2023]
Abstract
The triplet scattering lengths of 85Rb and 87Rb are evaluated as a function of C6 using a potential whose short-range form is fitted to an ab initio result. This is combined with a previous analysis of photoassociation measurements, which allows the determination of bounds on C6 and the scattering amplitudes to give sharper bounds for these quantities. Questions are raised about the use of scattering length as the sole atomic parameter in the description of Bose-Einstein condensates.
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Affiliation(s)
- S Geltman
- JILA, University of Colorado and National Institute of Standards and Technology, Boulder, CO 80309-0440, USA
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Rusch M, Morgan SA, Hutchinson DA, Burnett K. Second order theory of excitations in trapped bose condensates at finite temperatures. PHYSICAL REVIEW LETTERS 2000; 85:4844-4847. [PMID: 11102132 DOI: 10.1103/physrevlett.85.4844] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/04/2000] [Indexed: 05/23/2023]
Abstract
We present a finite temperature field theory for collective excitations of trapped Bose condensates which includes the dynamics of the thermal cloud. In spherical traps we show that excitations couple strongly to a small number of modes, giving resonance structure in their frequency spectra. Where possible, we derive energy shifts and lifetimes of excitations. For the l = 0 mode we show that the simple picture of a decay rate fails, which should be observable in suitable experiments. It also suggests a possible explanation for the anomalous behavior of the m = 0 mode observed in anisotropic traps.
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Affiliation(s)
- M Rusch
- Clarendon Laboratory, Department of Physics, University of Oxford, Oxford OX1 3PU, United Kingdom
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Adhikari SK. Numerical study of the spherically symmetric gross-pitaevskii equation in two space dimensions. PHYSICAL REVIEW. E, STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 2000; 62:2937-2944. [PMID: 11088777 DOI: 10.1103/physreve.62.2937] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/08/2000] [Indexed: 05/23/2023]
Abstract
We present a numerical study of the time-dependent and time-independent Gross-Pitaevskii (GP) equation in two space dimensions, which describes the Bose-Einstein condensate of trapped bosons at ultralow temperature with both attractive and repulsive interatomic interactions. Both time-dependent and time-independent GP equations are used to study the stationary problems. In addition the time-dependent approach is used to study some evolution problems of the condensate. Specifically, we study the evolution problem where the trap energy is suddenly changed in a stable preformed condensate. In this case the system oscillates with increasing amplitude and does not remain limited between two stable configurations. Good convergence is obtained in all cases studied.
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Affiliation(s)
- SK Adhikari
- Instituto de Fisica Teorica, Universidade Estadual Paulista, 01. 405-900 Sao Paulo, Sao Paulo, Brazil
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Hechenblaikner G, Marago OM, Hodby E, Arlt J, Hopkins S, Foot CJ. Observation of harmonic generation and nonlinear coupling in the collective dynamics of a bose-einstein condensate. PHYSICAL REVIEW LETTERS 2000; 85:692-695. [PMID: 10991375 DOI: 10.1103/physrevlett.85.692] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/31/2000] [Indexed: 05/23/2023]
Abstract
We report the observation of harmonic generation and strong nonlinear coupling of two collective modes of a condensed gas of rubidium atoms. Using a modified time averaged orbiting potential trap we changed the trap anisotropy to a value where the frequency of the m = 0 high-lying mode corresponds to twice the frequency of the m = 0 low-lying mode, thus leading to strong nonlinear coupling between these modes. By changing the anisotropy of the trap and exciting the low-lying mode we observed significant frequency shifts of this fundamental mode and also the generation of its second harmonic.
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Affiliation(s)
- G Hechenblaikner
- Clarendon Laboratory, Department of Physics, University of Oxford, Parks Road, Oxford, OX1 3PU, United Kingdom
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Girardeau MD, Wright EM. Breakdown of time-dependent mean-field theory for a one-dimensional condensate of impenetrable bosons. PHYSICAL REVIEW LETTERS 2000; 84:5239-5242. [PMID: 10990913 DOI: 10.1103/physrevlett.84.5239] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/28/2000] [Indexed: 05/23/2023]
Abstract
We show that the time-dependent nonlinear Schrodinger equation of mean-field theory has limited utility for a one-dimensional condensate of impenetrable bosons. Mean-field theory with its associated order parameter predicts interference between split condensates that are recombined, whereas an exact many-body treatment shows minimal interference.
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Affiliation(s)
- MD Girardeau
- Institute of Theoretical Science, University of Oregon, Eugene, Oregon 97403 and Optical Sciences Center and Department of Physics, University of Arizona, Tucson, Arizona 85721, USA
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Gammal A, Frederico T, Tomio L. Improved numerical approach for the time-independent Gross-Pitaevskii nonlinear Schrödinger equation. PHYSICAL REVIEW. E, STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 1999; 60:2421-4. [PMID: 11970045 DOI: 10.1103/physreve.60.2421] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/05/1999] [Revised: 04/13/1999] [Indexed: 04/18/2023]
Abstract
In the present work, we improve a numerical method, developed to solve the Gross-Pitaevkii nonlinear Schrödinger equation. A particular scaling is used in the equation, which permits us to evaluate the wave-function normalization after the numerical solution. We have a two-point boundary value problem, where the second point is taken at infinity. The differential equation is solved using the shooting method and Runge-Kutta integration method, requiring that the asymptotic constants, for the function and its derivative, be equal for large distances. In order to obtain fast convergence, the secant method is used.
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Affiliation(s)
- A Gammal
- Instituto de Física Teórica, Universidade Estadual Paulista, 01405-900 São Paulo, Brazil
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Ejnisman R, Pu H, Young Y, Bigelow N, Law C. Studies of two-species Bose-Einstein condesation. OPTICS EXPRESS 1998; 2:330-337. [PMID: 19381198 DOI: 10.1364/oe.2.000330] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/27/2023]
Abstract
We describe our recent progress on the investigation of two-species Bose-Einstein condensation. From a theoretical analysis we show that there is a new rich phenomenology associated with two-species Bose-Einstein condensates which does not exist in a single-species condensate. We then describe results of a numerical model of the evaporative cooling process of a trapped two-species gas.
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Dodd R, Clark C, Edwards M, Burnett K. Characterizing the coherence of Bose-Einstein condensates and atom lasers. OPTICS EXPRESS 1997; 1:284-292. [PMID: 19373414 DOI: 10.1364/oe.1.000284] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/27/2023]
Abstract
For a dilute, interacting Bose gas of magnetically-trapped atoms at temperatures below the critical temperature T0 for Bose-Einstein condensation, we determine the second-order coherence function g (2) (r1 ; r2) within the framework of a finite-temperature quantum field theory. We show that, because of the different spatial distributions of condensate and thermal atoms in the trap, g (2) (r1 ; r2) does not depend on jr1 r2j alone. This means that the experimental determinations of g (2) reported to date give only its spatial average. Such an average may underestimate the degree of coherence attainable in an atom laser by judicious engineering of the output coupler.
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Pérez-García VM, Michinel H, Cirac JI, Lewenstein M, Zoller P. Low Energy Excitations of a Bose-Einstein Condensate: A Time-Dependent Variational Analysis. PHYSICAL REVIEW LETTERS 1996; 77:5320-5323. [PMID: 10062774 DOI: 10.1103/physrevlett.77.5320] [Citation(s) in RCA: 18] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Bijlsma M, Stoof HT. Renormalization group theory of the three-dimensional dilute Bose gas. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1996; 54:5085-5103. [PMID: 9914078 DOI: 10.1103/physreva.54.5085] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Giorgini S, Pitaevskii LP, Stringari S. Condensate fraction and critical temperature of a trapped interacting Bose gas. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1996; 54:R4633-R4636. [PMID: 9914135 DOI: 10.1103/physreva.54.r4633] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Wu WC, Griffin A. Quantized hydrodynamic model and the dynamic structure factor for a trapped Bose gas. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1996; 54:4204-4212. [PMID: 9913970 DOI: 10.1103/physreva.54.4204] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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23
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Lewenstein M, You L. Quantum Phase Diffusion of a Bose-Einstein Condensate. PHYSICAL REVIEW LETTERS 1996; 77:3489-3493. [PMID: 10062233 DOI: 10.1103/physrevlett.77.3489] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Stringari S. Collective Excitations of a Trapped Bose-Condensed Gas. PHYSICAL REVIEW LETTERS 1996; 77:2360-2363. [PMID: 10061934 DOI: 10.1103/physrevlett.77.2360] [Citation(s) in RCA: 37] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Singh KG, Rokhsar DS. Collective Excitations of a Confined Bose Condensate. PHYSICAL REVIEW LETTERS 1996; 77:1667-1670. [PMID: 10063141 DOI: 10.1103/physrevlett.77.1667] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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van Druten NJ, Townsend CG, Andrews MR, Durfce DS, Kurn DM, Mewes MO, Ketterle W. Bose-Einstein condensates—a new form of quantum matter. ACTA ACUST UNITED AC 1996. [DOI: 10.1007/bf02548113] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
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