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Brennecke S, Ranke M, Dimitriou A, Walther S, Prandolini MJ, Lein M, Frühling U. Control of Electron Wave Packets Close to the Continuum Threshold Using Near-Single-Cycle THz Waveforms. PHYSICAL REVIEW LETTERS 2022; 129:213202. [PMID: 36461977 DOI: 10.1103/physrevlett.129.213202] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/29/2022] [Accepted: 10/17/2022] [Indexed: 06/17/2023]
Abstract
The control of low-energy electrons by carrier-envelope-phase-stable near-single-cycle THz pulses is demonstrated. A femtosecond laser pulse is used to create a temporally localized wave packet through multiphoton absorption at a well defined phase of a synchronized THz field. By recording the photoelectron momentum distributions as a function of the time delay, we observe signatures of various regimes of dynamics, ranging from recollision-free acceleration to coherent electron-ion scattering induced by the THz field. The measurements are confirmed by three-dimensional time-dependent Schrödinger equation simulations. A classical trajectory model allows us to identify scattering phenomena analogous to strong-field photoelectron holography and high-order above-threshold ionization.
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Affiliation(s)
- Simon Brennecke
- Leibniz Universität Hannover, Institut für Theoretische Physik, Appelstraße 2, 30167 Hannover, Germany
| | - Martin Ranke
- Institut für Experimentalphysik, Universität Hamburg, Luruper Chaussee 149, 22761 Hamburg, Germany
- The Hamburg Centre for Ultrafast Imaging (CUI), Luruper Chaussee 149, 22761 Hamburg, Germany
| | - Anastasios Dimitriou
- Institut für Experimentalphysik, Universität Hamburg, Luruper Chaussee 149, 22761 Hamburg, Germany
- The Hamburg Centre for Ultrafast Imaging (CUI), Luruper Chaussee 149, 22761 Hamburg, Germany
- Institute of Nanoscience and Nanotechnology, NSR Demokritos, 15341 Agia Paraskevi, Athens, Greece
| | - Sophie Walther
- Institut für Experimentalphysik, Universität Hamburg, Luruper Chaussee 149, 22761 Hamburg, Germany
- The Hamburg Centre for Ultrafast Imaging (CUI), Luruper Chaussee 149, 22761 Hamburg, Germany
| | - Mark J Prandolini
- Institut für Experimentalphysik, Universität Hamburg, Luruper Chaussee 149, 22761 Hamburg, Germany
| | - Manfred Lein
- Leibniz Universität Hannover, Institut für Theoretische Physik, Appelstraße 2, 30167 Hannover, Germany
| | - Ulrike Frühling
- Institut für Experimentalphysik, Universität Hamburg, Luruper Chaussee 149, 22761 Hamburg, Germany
- The Hamburg Centre for Ultrafast Imaging (CUI), Luruper Chaussee 149, 22761 Hamburg, Germany
- Deutsches Elektronen-Synchrotron, Notkestrasse 85, 22603 Hamburg, Germany
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Gopal A, Singh P, Herzer S, Reinhard A, Schmidt A, Dillner U, May T, Meyer HG, Ziegler W, Paulus GG. Characterization of 700 μJ T rays generated during high-power laser solid interaction. OPTICS LETTERS 2013; 38:4705-4707. [PMID: 24322111 DOI: 10.1364/ol.38.004705] [Citation(s) in RCA: 16] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/03/2023]
Abstract
Laser-produced solid density plasmas are well-known as table-top sources of electromagnetic radiation. Recent studies have shown that energetic broadband terahertz pulses (T rays) can also be generated from laser-driven compact ion accelerators. Here we report the measurement of record-breaking T-Ray pulses with energies no less than 0.7 mJ. The terahertz spectrum has been characterized for frequencies ranging from 0.1-133 THz. The dependence of T-Ray yield on incident laser energy is linear and shows no tendencies of saturation. The noncollinear emission pattern and the high yield reveal that the T rays are generated by the transient field at the rear surface of the solid target.
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Abstract
Terahertz (THz) radiation occupies part of the electromagnetic spectrum between the infrared and microwave bands. Until recently, technology at THz frequencies was under-developed compared to the rest of the electromagnetic spectrum, leaving a gap between millimeter waves and the far-infrared (FIR). In the past decade, interest in the THz gap has been increased by the development of ultrafast laser-based T-ray systems and their demonstration of diffraction-limited spatial resolution, picosecond temporal resolution, DC-THz spectral bandwidth and signal-to-noise ratios above 104. This chapter reviews the development, the state of the art and the applications of T-ray spectrometers. Continuous-wave (CW) THz-frequency sources and detectors are briefly introduced in comparison to ultrafast pulsed THz systems. An emphasis is placed on experimental applications of T-rays to sensing and imaging, with a view to the continuing advance of technologies and applications in the THz band.
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Affiliation(s)
- S. P. Mickan
- Department of Physics, Applied Physics & Astronomy, and Department of Electrical, Computer & System Engineering, Rensselaer Polytechnic Institute, Troy NY 12180, USA
| | - X.-C. Zhang
- Department of Physics, Applied Physics & Astronomy, and Department of Electrical, Computer & System Engineering, Rensselaer Polytechnic Institute, Troy NY 12180, USA
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Ovchinnikov SY, Sternberg JB, Macek JH, Lee TG, Schultz DR. Creating and manipulating vortices in atomic wave functions with short electric field pulses. PHYSICAL REVIEW LETTERS 2010; 105:203005. [PMID: 21231229 DOI: 10.1103/physrevlett.105.203005] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/28/2010] [Indexed: 05/30/2023]
Abstract
We demonstrate the creation of vortices in the electronic probability density of an atom subject to short electric field pulses, how these vortices evolve and can be manipulated by varying the applied pulses, and that they persist to macroscopic distances in the spectrum of ejected electrons. This opens the possibility to use practical femtosecond or shorter laser pulses to create and manipulate these vortex quasiparticles at the atomic scale and observe them in the laboratory. Within a hydrodynamic interpretation we also show, since the Schrödinger equation is a particular instance of the Navier-Stokes equations, that for compressible fluids vortices can appear spontaneously and with a certain time delay, which is not expected to occur from the conventional point of view, illustrating applicability of the present study to vortex formation more broadly.
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Affiliation(s)
- S Yu Ovchinnikov
- Department of Physics and Astronomy, University of Tennessee, Knoxville, Tennessee 37496, USA
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Maeda H, Gurian JH, Gallagher TF. Nondispersing Bohr wave packets. PHYSICAL REVIEW LETTERS 2009; 102:103001. [PMID: 19392109 DOI: 10.1103/physrevlett.102.103001] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/30/2008] [Indexed: 05/27/2023]
Abstract
Long-lived, nondispersing circular, or Bohr, wave packets are produced starting from Li Rydberg atoms by exposing them first to a linearly polarized microwave field at the orbital frequency, 17.6 GHz at principal quantum number n=72, which locks the electron's motion into an approximately linear orbit in which the electron oscillates in phase with the microwave field. The microwave polarization is changed to circular polarization slowly compared to the orbital frequency, and the electron's motion follows, resulting in a nondispersing Bohr wave packet.
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Affiliation(s)
- H Maeda
- Department of Physics, University of Virginia, Charlottesville, Virginia 22904-0714, USA
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Abstract
▪ Abstract Significant advances in laser technology have led to an increasing interest in the time evolution of Rydberg wavepackets as a means to understanding, and ultimately controlling, quantum phenomena. Rydberg wavepackets in molecules are particularly interesting as they possess many of the dynamical complications of large molecules, such as nonadiabatic coupling between the various degrees of freedom, yet they remain tractable experimentally and theoretically. This review explains in detail how the method of interfering wavepackets can be applied to observe and control Rydberg wavepackets in molecules; it discusses the achievements to date and the possibilities for the future.
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Affiliation(s)
- H H Fielding
- Department of Chemistry, University College London, London WC1H 0AJ, United Kingdom.
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Wickenhauser M, Burgdörfer J, Krausz F, Drescher M. Time resolved Fano resonances. PHYSICAL REVIEW LETTERS 2005; 94:023002. [PMID: 15698169 DOI: 10.1103/physrevlett.94.023002] [Citation(s) in RCA: 21] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/07/2004] [Indexed: 05/24/2023]
Abstract
Recent advances in the generation of sub-fs extreme ultraviolet pulses and attosecond metrology have opened up the possibility to trace the time evolution of electronic wave packets inside atoms in pump-probe experiments. We investigate the feasibility of observing the buildup of a Fano resonance in the time domain by attosecond streaking techniques. A time-resolved resonance is initialized by a sub-fs extreme ultraviolet-pump pulse in the presence of a synchronized phase-controlled probe laser pulse. The time evolution of the coherent superposition of resonant state and continuum is mapped onto a modulation of the electron spectrum as a function of the time delay between pump and probe pulse. (super-)Coster-Kronig transitions with lifetimes of approximately 400 asec( are identified as prime candidates.
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Affiliation(s)
- Marlene Wickenhauser
- Institute for Theoretical Physics, Vienna University of Technology, A-1040 Vienna, Austria
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Abstract
There has been much progress in the control of chemical reactions since methods of active control were first proposed by Brumer & Shapiro and by Tannor & Rice ten years ago. This chapter reviews both theoretical and experimental advances in the field. Control schemes based on quantum mechanical interference between competing paths and the manipulation of wave packets with tailored laser pulses are discussed. The theory of optimal control, the limitations of control theory applied to many-body dynamics, and the effects of constraints on the trajectory of the controlled observable are presented. Experimental progress in controlling the population of specific quantum states, in manipulating the dynamics of bound wave packets, and in the control of chemical reactions are reviewed, and current problems in the field are summarized.
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Affiliation(s)
- R J Gordon
- Department of Chemistry (m/c 111), University of Illinois at Chicago, 845 W Taylor Street, Chicago, IL 60607-7061, USA.
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9
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Maeda H, Gallagher TF. Nondispersing wave packets. PHYSICAL REVIEW LETTERS 2004; 92:133004. [PMID: 15089602 DOI: 10.1103/physrevlett.92.133004] [Citation(s) in RCA: 14] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/22/2003] [Indexed: 05/24/2023]
Abstract
We have formed nondispersing wave packets from atomic Li Rydberg eigenstates by adding a small microwave field approximately resonant with the Deltan=1 transition. The orbital motion of the Rydberg electron in states of 70<or=n<or=78 becomes phase locked to a 17.5 GHz microwave field and remains so for 900 ns, roughly 15 000 orbits of the Rydberg electron. A Floquet approach provides a reasonable quantum-mechanical description.
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Affiliation(s)
- H Maeda
- Department of Physics, University of Virginia, Charlottesville, Virginia 22904-0714, USA
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Affiliation(s)
- Charles A Schmuttenmaer
- Department of Chemistry, Yale University, 225 Prospect Street, P.O. Box 208107, New Haven, Connecticut 06520-8107, USA
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Salamin YI, Mocken GR, Keitel CH. Relativistic electron dynamics in intense crossed laser beams: acceleration and Compton harmonics. PHYSICAL REVIEW E 2003; 67:016501. [PMID: 12636616 DOI: 10.1103/physreve.67.016501] [Citation(s) in RCA: 49] [Impact Index Per Article: 2.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/09/2002] [Revised: 09/03/2002] [Indexed: 11/07/2022]
Abstract
Electron motion and harmonic generation are investigated in the crossed-beam laser-accelerator scheme in a vacuum. Exact solutions of the equations of motion of the electron in plane-wave fields are given, subject to a restricted set of initial conditions. The trajectory solutions corresponding to axial injection are used to calculate precise emission spectra. Guided by hindsight from the analytic investigations, numerical calculations are then performed employing a Gaussian-beam representation of the fields in which terms of order epsilon(5), where epsilon is the diffraction angle, are retained. Present-day laser powers and initial conditions on the electron motion that simulate realistic laboratory conditions are used in the calculations. The analytic plane-wave work shows, and the numerical investigations confirm, that an optimal crossing angle exists, i.e., one that renders the electron energy gain a maximum for a particular set of parameters. Furthermore, the restriction to small crossing angles is not made anywhere. It is also shown that energy gains of a few GeV and energy gradients of several TeV/m may be obtained using petawatt power laser beams.
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Affiliation(s)
- Yousef I Salamin
- Theoretische Quantendynamik, Fakultät für Physik, Universität Freiburg, Hermann-Herder-Strasse 3, D-79104 Freiburg, Germany.
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Spivey AGV, Cundiff ST. Brewster's angle attenuator for terahertz pulses. APPLIED OPTICS 2002; 41:7637-7643. [PMID: 12510932 DOI: 10.1364/ao.41.007637] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/24/2023]
Abstract
A variable attenuator for terahertz (THz) pulses is developed on the basis of the change in reflectivity of lithium niobate wafers with incident angle in a Brewster configuration. We can vary the THz field transmission from 22% to 54%, a change of a factor of 2.5, while preserving the shape of the THz pulse spectrum. Changes in the THz spectrum are shown to be much smaller when the Brewster attenuator is used than when either the near-infrared pump power or the bias voltage on a THz photoconductive antenna is varied. The Brewster attenuator should prove especially useful for varying THz field strength in nonlinear optical studies that use broadband THz pulses.
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Affiliation(s)
- Amelia G VanEngen Spivey
- JILA, University of Colorado and National Institute of Standards and Technology, Boulder, Colorado 80309-0440, USA
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Ahn J, Hutchinson DN, Rangan C, Bucksbaum PH. Quantum phase retrieval of a Rydberg wave packet using a half-cycle pulse. PHYSICAL REVIEW LETTERS 2001; 86:1179-1182. [PMID: 11178038 DOI: 10.1103/physrevlett.86.1179] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/15/2000] [Indexed: 05/23/2023]
Abstract
A terahertz half-cycle pulse was used to retrieve information stored as quantum phase in an N-state Rydberg atom data register. The register was prepared as a wave packet with one state phase reversed from the others (the "marked bit"). A half-cycle pulse then drove a significant portion of the electron probability into the flipped state via multimode interference.
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Affiliation(s)
- J Ahn
- Physics Department, University of Michigan, Ann Arbor, Michigan 48109-1120, USA
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Rau B, Tajima T, Hojo H. Rau, tajima, and hojo reply:. PHYSICAL REVIEW LETTERS 2000; 84:3211. [PMID: 11019051 DOI: 10.1103/physrevlett.84.3211] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/18/1999] [Indexed: 05/23/2023]
Affiliation(s)
- B Rau
- Department of Engineering Physics and Mathematics Helsinki University of Technology02015 HUT, Finland
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Gürtler A, Winnewisser C, Helm H, Jepsen PU. Terahertz pulse propagation in the near field and the far field. JOURNAL OF THE OPTICAL SOCIETY OF AMERICA. A, OPTICS, IMAGE SCIENCE, AND VISION 2000; 17:74-83. [PMID: 10641841 DOI: 10.1364/josaa.17.000074] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
Abstract
We present a detailed investigation of the propagation properties of beams of ultrashort terahertz (THz) pulses emitted from large-aperture (LA) antennas. The large area of the emitter is demonstrated to have substantial influence on the temporal pulse profile in both the near field and the far field. We perform a numerical analysis based on scalar and vectorial broadband diffraction theory and are able to distinguish between near-field and far-field contributions to the total THz signal. We find that the THz beam from a LA antenna propagates like a Gaussian beam and that the temporal profile of the THz pulse, measured in the near field, contains information about the temporal and spatial field distribution on the emitter surface, which is intrinsically connected to the carrier dynamics of the antenna substrate. As a result of pulse reshaping, focusing of the THz beam leads to a reduced relative pulse momentum, with implications in THz field-ionization experiments.
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Affiliation(s)
- A Gürtler
- Department of Molecular and Optical Physics, University of Freiburg, Germany
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Kindt JT, Schmuttenmaer CA. Theory for determination of the low-frequency time-dependent response function in liquids using time-resolved terahertz pulse spectroscopy. J Chem Phys 1999. [DOI: 10.1063/1.478766] [Citation(s) in RCA: 77] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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19
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Brown A, Meath WJ. On the effects of absolute laser phase on the interaction of a pulsed laser with polar versus nonpolar molecules. J Chem Phys 1998. [DOI: 10.1063/1.477596] [Citation(s) in RCA: 34] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Gro/nager M, Henriksen NE. Real-time control of electronic motion: Application to NaI. J Chem Phys 1998. [DOI: 10.1063/1.477036] [Citation(s) in RCA: 28] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Kalinski M, Eberly J. Guiding electron orbits with chirped light. OPTICS EXPRESS 1997; 1:216-220. [PMID: 19373404 DOI: 10.1364/oe.1.000216] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/27/2023]
Abstract
We demonstrate that chirped light is effective in shrinking or expanding a class of nonspreading electron eigenstate wave packets in Rydberg atoms.
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Bialynicki-Birula I, Bialynicka-Birula Z. Nonspreading Wave Packets for Rydberg Electrons in Rotating Molecules with Electric Dipole Moments. PHYSICAL REVIEW LETTERS 1996; 77:4298-4301. [PMID: 10062503 DOI: 10.1103/physrevlett.77.4298] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Reinhold CO, Burgdörfer J, Frey MT, Dunning FB. Dynamics of Rydberg wave packets generated by half-cycle pulses. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1996; 54:R33-R36. [PMID: 9913573 DOI: 10.1103/physreva.54.r33] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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