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Mun JH, Sakai H, Kim DE. Time-Dependent Unitary Transformation Method in the Strong-Field-Ionization Regime with the Kramers-Henneberger Picture. Int J Mol Sci 2021; 22:ijms22168514. [PMID: 34445218 PMCID: PMC8395222 DOI: 10.3390/ijms22168514] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/25/2021] [Revised: 08/03/2021] [Accepted: 08/04/2021] [Indexed: 11/16/2022] Open
Abstract
Time evolution operators of a strongly ionizing medium are calculated by a time-dependent unitary transformation (TDUT) method. The TDUT method has been employed in a quantum mechanical system composed of discrete states. This method is especially helpful for solving molecular rotational dynamics in quasi-adiabatic regimes because the strict unitary nature of the propagation operator allows us to set the temporal step size to large; a tight limitation on the temporal step size (δt<<1) can be circumvented by the strict unitary nature. On the other hand, in a strongly ionizing system where the Hamiltonian is not Hermitian, the same approach cannot be directly applied because it is demanding to define a set of field-dressed eigenstates. In this study, the TDUT method was applied to the ionizing regime using the Kramers-Henneberger frame, in which the strong-field-dressed discrete eigenstates are given by the field-free discrete eigenstates in a moving frame. Although the present work verifies the method for a one-dimensional atom as a prototype, the method can be applied to three-dimensional atoms, and molecules exposed to strong laser fields.
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Affiliation(s)
- Je-Hoi Mun
- Department of Physics and Center for Attosecond Science and Technology, POSTECH, Pohang 37673, Korea;
- Max Planck POSTECH/KOREA Research Initiative, Pohang 37673, Korea
- Correspondence:
| | - Hirofumi Sakai
- Department of Physics, Graduate School of Science, The University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-0033, Japan;
- Institute for Photon Science and Technology, Graduate School of Science, The University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-0033, Japan
| | - Dong-Eon Kim
- Department of Physics and Center for Attosecond Science and Technology, POSTECH, Pohang 37673, Korea;
- Max Planck POSTECH/KOREA Research Initiative, Pohang 37673, Korea
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Matthews M, Morales F, Patas A, Lindinger A, Gateau J, Berti N, Hermelin S, Kasparian J, Richter M, Bredtmann T, Smirnova O, Wolf JP, Ivanov M. Amplification of intense light fields by nearly free electrons. NATURE PHYSICS 2018; 14:695-700. [PMID: 30079094 PMCID: PMC6071854 DOI: 10.1038/s41567-018-0105-0] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/08/2016] [Accepted: 03/07/2018] [Indexed: 06/07/2023]
Abstract
Light can be used to modify and control properties of media, as in the case of electromagnetically induced transparency or, more recently, for the generation of slow light or bright coherent XUV and X-ray radiation. Particularly unusual states of matter can be created by light fields with strengths comparable to the Coulomb field that binds valence electrons in atoms, leading to nearly-free electrons oscillating in the laser field and yet still loosely bound to the core [1,2]. These are known as Kramers-Henneberger states [3], a specific example of laser-dressed states [2]. Here, we demonstrate that these states arise not only in isolated atoms [4,5], but also in rare gases, at and above atmospheric pressure, where they can act as a gain medium during laser filamentation. Using shaped laser pulses, gain in these states is achieved within just a few cycles of the guided field. The corresponding lasing emission is a signature of population inversion in these states and of their stability against ionization. Our work demonstrates that these unusual states of neutral atoms can be exploited to create a general ultrafast gain mechanism during laser filamentation.
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Affiliation(s)
- Mary Matthews
- GAP, University of Geneva, 22 chemin de Pinchat, 1211 Geneva 4, Switzerland
| | - Felipe Morales
- Max Born Institute, Max Born Strasse 2a, 12489 Berlin, Germany
| | - Alexander Patas
- Inst. Fur Exp. Physik, Freie Universitat Berlin, Arnimallee 14, 14195 Berlin, Germany
| | - Albrecht Lindinger
- Inst. Fur Exp. Physik, Freie Universitat Berlin, Arnimallee 14, 14195 Berlin, Germany
| | - Julien Gateau
- GAP, University of Geneva, 22 chemin de Pinchat, 1211 Geneva 4, Switzerland
| | - Nicolas Berti
- GAP, University of Geneva, 22 chemin de Pinchat, 1211 Geneva 4, Switzerland
| | - Sylvain Hermelin
- GAP, University of Geneva, 22 chemin de Pinchat, 1211 Geneva 4, Switzerland
| | - Jerome Kasparian
- GAP, University of Geneva, 22 chemin de Pinchat, 1211 Geneva 4, Switzerland
| | - Maria Richter
- Departamento de Quimica, Universidad Autonoma de Madrid, 28049 Madrid, Spain
| | - Timm Bredtmann
- Max Born Institute, Max Born Strasse 2a, 12489 Berlin, Germany
| | - Olga Smirnova
- Max Born Institute, Max Born Strasse 2a, 12489 Berlin, Germany
| | - Jean-Pierre Wolf
- GAP, University of Geneva, 22 chemin de Pinchat, 1211 Geneva 4, Switzerland
| | - Misha Ivanov
- Max Born Institute, Max Born Strasse 2a, 12489 Berlin, Germany
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Crassee I, Gallmann L, Gäumann G, Matthews M, Yanagisawa H, Feurer T, Hengsberger M, Keller U, Osterwalder J, Wörner HJ, Wolf JP. Strong field transient manipulation of electronic states and bands. STRUCTURAL DYNAMICS (MELVILLE, N.Y.) 2017; 4:061505. [PMID: 29308417 PMCID: PMC5739908 DOI: 10.1063/1.4996424] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 07/17/2017] [Accepted: 09/18/2017] [Indexed: 06/07/2023]
Abstract
In the present review, laser fields are so strong that they become part of the electronic potential, and sometimes even dominate the Coulomb contribution. This manipulation of atomic potentials and of the associated states and bands finds fascinating applications in gases and solids, both in the bulk and at the surface. We present some recent spectacular examples obtained within the NCCR MUST in Switzerland.
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Affiliation(s)
- I Crassee
- Applied Physics, GAP, University of Geneva, 22 Ch. de Pinchat, 1211 Geneva 4, Switzerland
| | | | - G Gäumann
- Institute of Applied Physics, University of Bern, Sidlerstr 5, 3012 Bern, Switzerland
| | - M Matthews
- Applied Physics, GAP, University of Geneva, 22 Ch. de Pinchat, 1211 Geneva 4, Switzerland
| | - H Yanagisawa
- Department of Physics, University of Zurich, Winterthurerstr 190, 8057 Zurich, Switzerland
| | - T Feurer
- Institute of Applied Physics, University of Bern, Sidlerstr 5, 3012 Bern, Switzerland
| | - M Hengsberger
- Department of Physics, University of Zurich, Winterthurerstr 190, 8057 Zurich, Switzerland
| | - U Keller
- Department of Physics, Institute for Quantum Electronics, ETH-Zurich, 8093 Zurich, Switzerland
| | - J Osterwalder
- Department of Physics, University of Zurich, Winterthurerstr 190, 8057 Zurich, Switzerland
| | - H J Wörner
- Physical Chemistry Laboratory, ETHZ, Vladimir-Prelog-Weg 2, 8093 Zurich, Switzerland
| | - J P Wolf
- Applied Physics, GAP, University of Geneva, 22 Ch. de Pinchat, 1211 Geneva 4, Switzerland
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Eichmann U, Saenz A, Eilzer S, Nubbemeyer T, Sandner W. Observing Rydberg atoms to survive intense laser fields. PHYSICAL REVIEW LETTERS 2013; 110:203002. [PMID: 25167402 DOI: 10.1103/physrevlett.110.203002] [Citation(s) in RCA: 22] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/30/2012] [Indexed: 06/03/2023]
Abstract
The idea of atoms defying ionization in ultrastrong laser fields has fascinated physicists for the last three decades. In contrast to extensive theoretical work on atoms stabilized in strong fields only few experiments limited to intermediate intensities have been performed. In this work we show exceptional stability of Rydberg atoms in strong laser fields extending the range of observation to much higher intensities. Corresponding field amplitudes of more than 1 GV/cm exceed the thresholds for static field ionization by more than 6 orders of magnitude. Most importantly, however, is our finding that a surviving atom is tagged with a measure of the laser intensity it has interacted with. Reading out this information removes uncertainty about whether the surviving atom has really seen the high intensity. The experimental results allow for an extension of the investigations on the stabilization and interaction of a quasifree electron with a strong field into the relativistic regime.
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Affiliation(s)
- U Eichmann
- Max-Born Institut, D-12489 Berlin, Germany and Institut für Optik und Atomare Physik, Technische Universität Berlin, D-10623 Berlin, Germany
| | - A Saenz
- AG Moderne Optik, Institut für Physik, Humboldt-Universität zu Berlin, D-12489 Berlin, Germany
| | - S Eilzer
- Max-Born Institut, D-12489 Berlin, Germany
| | | | - W Sandner
- Max-Born Institut, D-12489 Berlin, Germany and Institut für Optik und Atomare Physik, Technische Universität Berlin, D-10623 Berlin, Germany
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Yakovlev V, Korbman M, Scrinzi A. Dressed bound states for attosecond dynamics in strong laser fields. Chem Phys 2013. [DOI: 10.1016/j.chemphys.2012.01.005] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/24/2022]
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Abstract
Coherent manipulations of atoms using laser lightThe internal structure of a particle - an atom or other quantum system in which the excitation energies are discrete - undergoes change when exposed to pulses of near-resonant laser light. This tutorial review presents basic concepts of quantum states, of laser radiation and of the Hilbert-space statevector that provides the theoretical portrait of probability amplitudes - the tools for quantifying quantum properties not only of individual atoms and molecules but also of artificial atoms and other quantum systems. It discusses the equations of motion that describe the laser-induced changes (coherent excitation), and gives examples of laser-pulse effects, with particular emphasis on two-state and three-state adiabatic time evolution within the rotating-wave approximation. It provides pictorial descriptions of excitation based on the Bloch equations that allow visualization of two-state excitation as motion of a three-dimensional vector (the Bloch vector). Other visualization techniques allow portrayal of more elaborate systems, particularly the Hilbert-space motion of adiabatic states subject to various pulse sequences. Various more general multilevel systems receive treatment that includes degeneracies, chains and loop linkages. The concluding sections discuss techniques for creating arbitrary pre-assigned quantum states, for manipulating them into alternative coherent superpositions and for analyzing an unknown superposition. Appendices review some basic mathematical concepts and provide further details of the theoretical formalism, including photons, pulse propagation, statistical averages, analytic solutions to the equations of motion, exact solutions of periodic Hamiltonians, and population-trapping "dark" states.
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Alferova T, Andersson S, Elander N, Levin S, Yarevsky E. Finite element three-body studies of bound and resonant states in atoms and molecules. ADVANCES IN QUANTUM CHEMISTRY 2001. [DOI: 10.1016/s0065-3276(01)40023-2] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/16/2022]
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Wójcik A, Parzynski R. Rydberg atom driven by a sequence of two laser pulses: Ramsey interferometry. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1995; 51:4787-4796. [PMID: 9912169 DOI: 10.1103/physreva.51.4787] [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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Baik MG, Pont M, Shakeshaft R. Inverting the Rayleigh-Schrödinger perturbation series: Application to atomic stabilization by intense light. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1995; 51:3117-3120. [PMID: 9911949 DOI: 10.1103/physreva.51.3117] [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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Gajda M, Piraux B, Rzazewski K. Ionization of an excited hydrogen atom by a high-frequency circularly polarized pulsed field. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1994; 50:2528-2539. [PMID: 9911172 DOI: 10.1103/physreva.50.2528] [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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