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Cavicchioli L, Fort C, Ancilotto F, Modugno M, Minardi F, Burchianti A. Dynamical Formation of Multiple Quantum Droplets in a Bose-Bose Mixture. PHYSICAL REVIEW LETTERS 2025; 134:093401. [PMID: 40131095 DOI: 10.1103/physrevlett.134.093401] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/24/2024] [Revised: 12/11/2024] [Accepted: 01/28/2025] [Indexed: 03/26/2025]
Abstract
We report on the formation of multiple quantum droplets in a heteronuclear ^{41}K-^{87}Rb mixture released in an optical waveguide. By a sudden change of the interspecies interaction from the noninteracting to the strongly attractive regime, we initially form a single droplet in an excited compression-elongation mode. The latter axially expands up to a critical length and then splits into two or more smaller fragments, recognizable as quantum droplets. We find that the number of formed droplets increases with decreasing interspecies attraction and increasing atom number. We show, by combining theory and experiment, that this behavior is consistent with capillary instability, which causes the breakup of the stretching droplet due to the surface tension. Our results open new possibilities to explore the properties of quantum liquids and systems of multiple quantum droplets in two-component bosonic mixtures.
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Affiliation(s)
- L Cavicchioli
- Istituto Nazionale di Ottica, CNR-INO, 50019 Sesto Fiorentino, Italy
- Università di Firenze, Dipartimento di Fisica e Astronomia and LENS, 50019 Sesto Fiorentino, Italy
| | - C Fort
- Istituto Nazionale di Ottica, CNR-INO, 50019 Sesto Fiorentino, Italy
- Università di Firenze, Dipartimento di Fisica e Astronomia and LENS, 50019 Sesto Fiorentino, Italy
| | - F Ancilotto
- Università di Padova, Dipartimento di Fisica e Astronomia "Galileo Galilei" and CNISM, 35131 Padova, Italy
- CNR-Officina dei Materiali (IOM), via Bonomea, 265-34136 Trieste, Italy
| | - M Modugno
- University of the Basque Country UPV/EHU, Department of Physics, 48080 Bilbao, Spain
- IKERBASQUE, Basque Foundation for Science, 48013 Bilbao, Spain
- University of the Basque Country UPV/EHU, EHU Quantum Center, Leioa, Biscay, Spain
| | - F Minardi
- Istituto Nazionale di Ottica, CNR-INO, 50019 Sesto Fiorentino, Italy
- Università di Firenze, Dipartimento di Fisica e Astronomia and LENS, 50019 Sesto Fiorentino, Italy
- Università di Bologna, Dipartimento di Fisica e Astronomia, 40127 Bologna, Italy
| | - A Burchianti
- Istituto Nazionale di Ottica, CNR-INO, 50019 Sesto Fiorentino, Italy
- Università di Firenze, Dipartimento di Fisica e Astronomia and LENS, 50019 Sesto Fiorentino, Italy
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Ma Y, Cui X. Shell-Shaped Quantum Droplet in a Three-Component Ultracold Bose Gas. PHYSICAL REVIEW LETTERS 2025; 134:043402. [PMID: 39951601 DOI: 10.1103/physrevlett.134.043402] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/08/2024] [Revised: 12/13/2024] [Accepted: 01/09/2025] [Indexed: 02/16/2025]
Abstract
Shell-shaped Bose-Einstein condensate is a typical quantum system in curved geometry. Here, we propose a new type of shell-shaped Bose-Einstein condensate with a self-bound character, thereby liberating it from stringent conditions such as microgravity or a fine-tuned trap. Specifically, we consider a three-component (1, 2, 3) ultracold Bose gas where (1, 2) and (2, 3) both form quantum droplets. The two droplets are mutually immiscible due to strong 1-3 repulsion, while still linked by component-2 to form a globally self-bound object. The outer droplet then naturally develops a shell structure without any trapping potential. It is shown that the shell structure can significantly modify the equilibrium density of the core, and lead to unique collective excitations highlighting the core-shell correlation. All results have been demonstrated in a realistic ^{23}Na-^{39}K-^{41}K mixture. By extending quantum droplets from flat to curved geometries, this Letter paves the way for future explorations of the interplay of quantum fluctuations and nontrivial real-space topologies in ultracold gases.
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Affiliation(s)
- Yinfeng Ma
- Institute of Physics, Chinese Academy of Sciences, Beijing National Laboratory for Condensed Matter Physics, Beijing 100190, China
- Naval University of Engineering, Department of Basic Courses, Wuhan 430033, China
| | - Xiaoling Cui
- Institute of Physics, Chinese Academy of Sciences, Beijing National Laboratory for Condensed Matter Physics, Beijing 100190, China
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Houwman JJA, Baillie D, Blakie PB, Natale G, Ferlaino F, Mark MJ. Measurement of the Excitation Spectrum of a Dipolar Gas in the Macrodroplet Regime. PHYSICAL REVIEW LETTERS 2024; 132:103401. [PMID: 38518353 DOI: 10.1103/physrevlett.132.103401] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/28/2023] [Revised: 11/27/2023] [Accepted: 01/08/2024] [Indexed: 03/24/2024]
Abstract
The excitation spectrum of a cigar-shaped strongly dipolar quantum gas at the crossover from a Bose-Einstein condensate to a trapped macrodroplet is predicted to exhibit peculiar features-a strong upward shift of low momentum excitation energies together with a strong multiband response for high momenta. By performing Bragg spectroscopy over a wide range of momenta, we observe both key elements and also confirm the predicted stiffening of excitation modes when approaching the macrodroplet regime. Our measurements are in good agreement with numerical calculations taking into account finite size effects.
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Affiliation(s)
- J J A Houwman
- Universität Innsbruck, Institut für Experimentalphysik, 6020 Innsbruck, Austria
| | - D Baillie
- Department of Physics, Centre for Quantum Science, and The Dodd-Walls Centre for Photonic and Quantum Technologies, University of Otago, Dunedin 9016, New Zealand
| | - P B Blakie
- Department of Physics, Centre for Quantum Science, and The Dodd-Walls Centre for Photonic and Quantum Technologies, University of Otago, Dunedin 9016, New Zealand
| | - G Natale
- Universität Innsbruck, Institut für Experimentalphysik, 6020 Innsbruck, Austria
- Institut für Quantenoptik und Quanteninformation, Österreichische Akademie der Wissenschaften, 6020 Innsbruck, Austria
| | - F Ferlaino
- Universität Innsbruck, Institut für Experimentalphysik, 6020 Innsbruck, Austria
- Institut für Quantenoptik und Quanteninformation, Österreichische Akademie der Wissenschaften, 6020 Innsbruck, Austria
| | - M J Mark
- Universität Innsbruck, Institut für Experimentalphysik, 6020 Innsbruck, Austria
- Institut für Quantenoptik und Quanteninformation, Österreichische Akademie der Wissenschaften, 6020 Innsbruck, Austria
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Ciurla D, Forgács P, Lukács Á, Romańczukiewicz T. Negative radiation pressure in Bose-Einstein condensates. Phys Rev E 2024; 109:014228. [PMID: 38366411 DOI: 10.1103/physreve.109.014228] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/07/2023] [Accepted: 01/02/2024] [Indexed: 02/18/2024]
Abstract
In two-component nonlinear Schrödinger equations, the force exerted by incident monochromatic plane waves on an embedded dark soliton and on dark-bright-type solitons is investigated, both perturbatively and by numerical simulations. When the incoming wave is nonvanishing only in the orthogonal component to that of the embedded dark soliton, its acceleration is in the opposite direction to that of the incoming wave. This somewhat surprising phenomenon can be attributed to the well-known negative effective mass of the dark soliton. When a dark-bright soliton, whose effective mass is also negative, is hit by an incoming wave nonvanishing in the component corresponding to the dark soliton, the direction of its acceleration coincides with that of the incoming wave. This implies that the net force acting on it is in the opposite direction to that of the incoming wave. This rather counterintuitive effect is a yet another manifestation of negative radiation pressure exerted by the incident wave, observed in other systems. When a dark-bright soliton interacts with an incoming wave in the component of the bright soliton, it accelerates in the opposite direction; hence the force is pushing it now. We expect that these remarkable effects, in particular the negative radiation pressure, can be experimentally verified in Bose-Einstein condensates.
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Affiliation(s)
- Dominik Ciurla
- Institute of Theoretical Physics, Jagiellonian University, Łojasiewicza 11, 30-348 Kraków, Poland
| | - Péter Forgács
- Wigner RCP RMI, POB 49, 1525 Budapest, Hungary
- Institut Denis-Poisson, UMR No. 7013, CNRS, Université de Tours, Parc de Grandmont, 37200 Tours, France
| | - Árpád Lukács
- Wigner RCP RMI, POB 49, 1525 Budapest, Hungary
- Department of Mathematical Sciences, Durham University, Stockton Road, Durham DH1 3LE, United Kingdom
| | - Tomasz Romańczukiewicz
- Institute of Theoretical Physics, Jagiellonian University, Łojasiewicza 11, 30-348 Kraków, Poland
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Ground-State Properties and Phase Separation of Binary Mixtures in Mesoscopic Ring Lattices. ENTROPY 2021; 23:e23070821. [PMID: 34203199 PMCID: PMC8307488 DOI: 10.3390/e23070821] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 06/05/2021] [Revised: 06/24/2021] [Accepted: 06/25/2021] [Indexed: 11/16/2022]
Abstract
We investigated the spatial phase separation of the two components forming a bosonic mixture distributed in a four-well lattice with a ring geometry. We studied the ground state of this system, described by means of a binary Bose–Hubbard Hamiltonian, by implementing a well-known coherent-state picture which allowed us to find the semi-classical equations determining the distribution of boson components in the ring lattice. Their fully analytic solutions, in the limit of large boson numbers, provide the boson populations at each well as a function of the interspecies interaction and of other significant model parameters, while allowing to reconstruct the non-trivial architecture of the ground-state four-well phase diagram. The comparison with the L-well (L=2,3) phase diagrams highlights how increasing the number of wells considerably modifies the phase diagram structure and the transition mechanism from the full-mixing to the full-demixing phase controlled by the interspecies interaction. Despite the fact that the phase diagrams for L=2,3,4 share various general properties, we show that, unlike attractive binary mixtures, repulsive mixtures do not feature a transition mechanism which can be extended to an arbitrary lattice of size L.
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Self-Evaporation Dynamics of Quantum Droplets in a 41K-87Rb Mixture. APPLIED SCIENCES-BASEL 2021. [DOI: 10.3390/app11020866] [Citation(s) in RCA: 8] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/16/2022]
Abstract
We theoretically investigate the self-evaporation dynamics of quantum droplets in a 41K-87Rb mixture, in free-space. The dynamical formation of the droplet and the effects related to the presence of three-body losses are analyzed by means of numerical simulations. We identify a regime of parameters allowing for the observation of the droplet self-evaporation in a feasible experimental setup.
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Böttcher F, Schmidt JN, Hertkorn J, Ng KSH, Graham SD, Guo M, Langen T, Pfau T. New states of matter with fine-tuned interactions: quantum droplets and dipolar supersolids. REPORTS ON PROGRESS IN PHYSICS. PHYSICAL SOCIETY (GREAT BRITAIN) 2021; 84:012403. [PMID: 33176284 DOI: 10.1088/1361-6633/abc9ab] [Citation(s) in RCA: 20] [Impact Index Per Article: 5.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/12/2023]
Abstract
Quantum fluctuations can stabilize Bose-Einstein condensates (BEC) against the mean-field collapse. Stabilization of the condensate has been observed in quantum degenerate Bose-Bose mixtures and dipolar BECs. The fine-tuning of the interatomic interactions can lead to the emergence of two new states of matter: liquid-like self-bound quantum droplets and supersolid crystals formed from these droplets. We review the properties of these exotic states of matter and summarize the experimental progress made using dipolar quantum gases and Bose-Bose mixtures. We conclude with an outline of important open questions that could be addressed in the future.
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Affiliation(s)
- Fabian Böttcher
- Physikalisches Institut and Center for Integrated Quantum Science and Technology, Universität Stuttgart, Pfaffenwaldring 57, 70569 Stuttgart, Germany
| | - Jan-Niklas Schmidt
- Physikalisches Institut and Center for Integrated Quantum Science and Technology, Universität Stuttgart, Pfaffenwaldring 57, 70569 Stuttgart, Germany
| | - Jens Hertkorn
- Physikalisches Institut and Center for Integrated Quantum Science and Technology, Universität Stuttgart, Pfaffenwaldring 57, 70569 Stuttgart, Germany
| | - Kevin S H Ng
- Physikalisches Institut and Center for Integrated Quantum Science and Technology, Universität Stuttgart, Pfaffenwaldring 57, 70569 Stuttgart, Germany
| | - Sean D Graham
- Physikalisches Institut and Center for Integrated Quantum Science and Technology, Universität Stuttgart, Pfaffenwaldring 57, 70569 Stuttgart, Germany
| | - Mingyang Guo
- Physikalisches Institut and Center for Integrated Quantum Science and Technology, Universität Stuttgart, Pfaffenwaldring 57, 70569 Stuttgart, Germany
| | - Tim Langen
- Physikalisches Institut and Center for Integrated Quantum Science and Technology, Universität Stuttgart, Pfaffenwaldring 57, 70569 Stuttgart, Germany
| | - Tilman Pfau
- Physikalisches Institut and Center for Integrated Quantum Science and Technology, Universität Stuttgart, Pfaffenwaldring 57, 70569 Stuttgart, Germany
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