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Forlevesi MD, Egydio de Carvalho R, de Lima EF. Lagrangian descriptor and escape time as tools to investigate the dynamics of laser-driven polar molecules. Phys Rev E 2023; 107:024209. [PMID: 36932494 DOI: 10.1103/physreve.107.024209] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/11/2022] [Accepted: 02/03/2023] [Indexed: 06/18/2023]
Abstract
We consider the nonlinear dynamics of a diatomic polar molecule under a linearly polarized laser field. We assume a model in which the molecule dipole is coupled with a time-dependent electric field. This system presents a bound energy region where the atoms are bound, and a free-energy region where the atoms are dissociated. Due to the nonalignment between the dipole axis and the laser direction, and the time dependence of the external field, this system presents two and a half degrees of freedom, namely the vibrational degree, the rotation degree, and the time. To investigate the system dynamics, instead of using the Poincaré surface-of-section technique, we propose the use of the Lagrangian descriptor associated with the escape times. The Lagrangian descriptor is a quantity that reveals complex structures in the phase space, whereas the escape times are the time span in which a trajectory is initially in the bound region before escaping to the unbound region. The combination of these two quantities allows us to distinguish between real stability regions from other complex structures, including stickiness regions, and a different formation, which we call escape islands. With the help of these tools, we find that for high-field amplitudes the inclusion of rotation leads to an increase of the stability regions, which implies a decrease of the dissociation in comparison with the one-dimensional case.
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Affiliation(s)
- M D Forlevesi
- Universidade Estadual Paulista-UNESP, Instituto de Geociências e Ciências Exatas-IGCE, Departamento de Estatística, Matemática Aplicada e Ciências da Computação, Rio Claro-SP 13506-900, Brazil
| | - R Egydio de Carvalho
- Universidade Estadual Paulista-UNESP, Instituto de Geociências e Ciências Exatas-IGCE, Departamento de Estatística, Matemática Aplicada e Ciências da Computação, Rio Claro-SP 13506-900, Brazil
| | - Emanuel F de Lima
- Departamento de Física, Universidade Federal de São Carlos, São Carlos-SP 13565-905, Brazil
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Wustelt P, Oppermann F, Mhatre S, Kübel M, Sayler AM, Lein M, Gräfe S, Paulus GG. Laser-Driven Anharmonic Oscillator: Ground-State Dissociation of the Helium Hydride Molecular Ion by Midinfrared Pulses. PHYSICAL REVIEW LETTERS 2021; 127:043202. [PMID: 34355921 DOI: 10.1103/physrevlett.127.043202] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/05/2021] [Revised: 04/06/2021] [Accepted: 04/27/2021] [Indexed: 06/13/2023]
Abstract
The vibrational motion of molecules represents a fundamental example of an anharmonic oscillator. Using a prototype molecular system, HeH^{+}, we demonstrate that appropriate laser pulses make it possible to drive the nuclear motion in the anharmonic potential of the electronic ground state, increasing its energy above the potential barrier and facilitating dissociation by purely vibrational excitation. We find excellent agreement between the frequency-dependent response of the helium hydride molecular cation to both classical and quantum mechanical simulations, thus removing any ambiguities through electronic excitation. Our results provide access to the rich dynamics of anharmonic quantum oscillator systems and pave the way to state-selective control schemes in ground-state chemistry by the adequate choice of the laser parameters.
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Affiliation(s)
- Philipp Wustelt
- Institute of Optics and Quantum Electronics, Friedrich Schiller University Jena, D-07743 Jena, Germany
- Helmholtz Institute Jena, Fröbelstieg 3, 07743 Jena, Germany
| | - Florian Oppermann
- Institut für Theoretische Physik, Leibniz Universität Hannover, Appelstraße 2, 30167 Hannover, Germany
| | - Saurabh Mhatre
- Institute of Physical Chemistry, Friedrich Schiller University Jena, Helmholtzweg 4, 07743 Jena, Germany
| | - Matthias Kübel
- Institute of Optics and Quantum Electronics, Friedrich Schiller University Jena, D-07743 Jena, Germany
- Helmholtz Institute Jena, Fröbelstieg 3, 07743 Jena, Germany
| | - A Max Sayler
- Institute of Optics and Quantum Electronics, Friedrich Schiller University Jena, D-07743 Jena, Germany
- Helmholtz Institute Jena, Fröbelstieg 3, 07743 Jena, Germany
| | - Manfred Lein
- Institut für Theoretische Physik, Leibniz Universität Hannover, Appelstraße 2, 30167 Hannover, Germany
| | - Stefanie Gräfe
- Institute of Physical Chemistry, Friedrich Schiller University Jena, Helmholtzweg 4, 07743 Jena, Germany
| | - Gerhard G Paulus
- Institute of Optics and Quantum Electronics, Friedrich Schiller University Jena, D-07743 Jena, Germany
- Helmholtz Institute Jena, Fröbelstieg 3, 07743 Jena, Germany
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Forlevesi MD, de Carvalho RE, de Lima EF. Nonlinear photoassociation through exotic orbits. Phys Rev E 2021; 104:014206. [PMID: 34412239 DOI: 10.1103/physreve.104.014206] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/06/2021] [Accepted: 06/13/2021] [Indexed: 06/13/2023]
Abstract
We investigate the effects of a particular kind of orbits, which we call exotic orbits, on the process of classical molecular photoassociation. As a starting model system, we consider the process described by the Morse potential with a time-dependent perturbation consisting of the interaction of an external laser field with the molecular dipole. When the external perturbation is turned off, the bound molecular states are classically represented by librational motion, whereas the unbound, the collisional states, are represented by unbound motion, and in both cases, the energy is a constant of motion. When the perturbation is turned on, the total energy is no longer a constant of motion and initial conditions in the unbound region can reach the bound region, and vice versa, through chaotic orbits. Alternatively, we have found that the connection between the bound and unbound sectors can be achieved through exotic orbits, which are comprised by librationlike parts, a localized chaotic region, and an unbounded constant-energy part. Thus, if a colliding atomic pair is in an exotic orbit, it penetrates a chaotic region coming from the unbound sector, subsequently performing librationlike motion, during which the molecule with constant bound energy is formed. Afterwards, the molecule returns to the chaotic region and from this region, it can either access a distinct bound energy or dissociate. We call this phenomenon, in which a metastable molecule is formed, intermittent photoassociation. We show that the key for the emergence of exotic orbits is the relatively short range of the dipole as compared to the interacting potential range. In order to further verify our results, we have considered realistic forms for the potentials and dipole functions of several molecules and found the emergence of exotic orbits, and consequently of intermittent photoassociation, for the MgLi and SrLi molecular parameters.
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Affiliation(s)
- M D Forlevesi
- Universidade Estadual Paulista-UNESP, Instituto de Geociências e Ciências Exatas-IGCE, Departamento de Estatística, Matemática Aplicada e Ciências da Computação, Rio Claro-SP 13506-900, Brazil
| | - R Egydio de Carvalho
- Universidade Estadual Paulista-UNESP, Instituto de Geociências e Ciências Exatas-IGCE, Departamento de Estatística, Matemática Aplicada e Ciências da Computação, Rio Claro-SP 13506-900, Brazil
| | - Emanuel F de Lima
- Departamento de Física, Universidade Federal de São Carlos, São Carlos-SP 13565-905, Brazil
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Chacón R, Martínez PJ, Marcos JM, Aranda FJ, Martínez JA. Ratchet universality in the bidirectional escape from a symmetric potential well. Phys Rev E 2021; 103:022203. [PMID: 33736113 DOI: 10.1103/physreve.103.022203] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/16/2020] [Accepted: 01/19/2021] [Indexed: 11/07/2022]
Abstract
The present work discusses symmetry-breaking-induced bidirectional escape from a symmetric metastable potential well by the application of zero-average periodic forces in the presence of dissipation. We characterized the interplay between heteroclinic instabilities leading to chaotic escape and breaking of a generalized parity symmetry leading to directed ratchet escape to an attractor either at ∞ or at -∞. Optimal enhancement of directed ratchet escape is found to occur when the wave form of the zero-average periodic force acting on the damped driven oscillator matches as closely as possible to a universal wave form, as predicted by the theory of ratchet universality. Specifically, the optimal approximation to the universal force triggers the almost complete destruction of the nonescaping basin for driving amplitudes which are systematically lower than those corresponding to a symmetric periodic force having the same period. We expect that this work could be potentially useful in the control of elementary dynamic processes characterized by multidirectional escape from a potential well, such as forced chaotic scattering and laser-induced dissociation of molecular systems, among others.
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Affiliation(s)
- R Chacón
- Departamento de Física Aplicada, Escuela de Ingenierías Industriales, Universidad de Extremadura, Apartado Postal 382, E-06006 Badajoz, Spain
- Instituto de Computación Científica Avanzada (ICCAEx), Universidad de Extremadura, E-06006 Badajoz, Spain
| | - P J Martínez
- Departamento de Física Aplicada, E.I.N.A., Universidad de Zaragoza, E-50018 Zaragoza, Spain and Instituto de Nanociencia y Materiales de Aragón (INMA), CSIC-Universidad de Zaragoza, E-50009 Zaragoza, Spain
| | - J M Marcos
- Instituto de Computación Científica Avanzada (ICCAEx), Universidad de Extremadura, E-06006 Badajoz, Spain
- Departamento de Física, Facultad de Ciencias, Universidad de Extremadura, E-06006 Badajoz, Spain
| | - F J Aranda
- Departamento de Ingeniería Eléctrica, Electrónica y Automática, Facultad de Ciencias, Universidad de Extremadura, E-06006 Badajoz, Spain
| | - J A Martínez
- Departamento de Ingeniería Eléctrica, Electrónica y Automática, Escuela de Ingenieros Industriales, Universidad de Castilla-La Mancha, E-02071 Albacete, Spain
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de Lima EF, de Carvalho RE, Forlevesi MD. Nonchaotic laser pulse dissociation through deformed tori. Phys Rev E 2020; 101:022207. [PMID: 32168701 DOI: 10.1103/physreve.101.022207] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/12/2019] [Accepted: 01/29/2020] [Indexed: 06/10/2023]
Abstract
We consider the nonlinear classical dynamics of a diatomic molecule under the action of a laser field in the framework of the driven Morse oscillator model. We investigate the influence of the dipole function and the laser field on the deformations of the surviving, invariant tori. For intense and high-frequency fields, some invariant tori traverse the separatrix of motion, visiting both the bound and unbound regions of the interatomic potential. Based on this fact, we propose the use of appropriately designed laser pulses to induce dissociation of trajectories on such invariant tori. This mechanism constitutes a controlled nonchaotic route for dissociation, which is an alternative to chaotic multiphoton dissociation and to chirped pulse dissociation.
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Affiliation(s)
- Emanuel F de Lima
- Departamento de Física, Universidade Federal de São Carlos São Carlos SP 13565-905, Brazil
| | - R Egydio de Carvalho
- Universidade Estadual Paulista (UNESP) Instituto de Geociências e Ciências Exatas-IGCE Rio Claro SP 13506-900, Brazil
| | - M D Forlevesi
- Universidade Estadual Paulista (UNESP) Instituto de Geociências e Ciências Exatas-IGCE Rio Claro SP 13506-900, Brazil
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Moiseyev N, Korsch HJ. Resonance Positions and Widths for Time-Periodic Hamiltonians by the Complex Coordinate Method. Isr J Chem 2013. [DOI: 10.1002/ijch.199000011] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/10/2022]
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de Lima EF, Ramos TN, de Carvalho RE. Role of the range of the dipole function in the classical dynamics of molecular dissociation. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2013; 87:014901. [PMID: 23410476 DOI: 10.1103/physreve.87.014901] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/02/2012] [Revised: 12/08/2012] [Indexed: 06/01/2023]
Abstract
The dissociation dynamics of heteronuclear diatomic molecules induced by infrared laser pulses is investigated within the framework of the classical driven Morse oscillator. The interaction between the molecule and the laser field described in the dipole formulation is given by the product of a time-dependent external field with a position-dependent permanent dipole function. The effects of changing the spatial range of the dipole function in the classical dissociation dynamics of large ensembles of trajectories are studied. Numerical calculations have been performed for distinct amplitudes and carrier frequencies of the external pulses and also for ensembles with different initial energies. It is found that there exist a set of values of the dipole range for which the dissociation probability can be completely suppressed. The dependence of the dissociation on the dipole range is explained through the examination of the Fourier series coefficients of the dipole function in the angle variable of the free system. In particular, the suppression of dissociation corresponds to dipole ranges for which the Fourier coefficients associated with nonlinear resonances are null and the chaotic region in the phase space is reduced to thin layers. In this context, it is shown that the suppression of dissociation of heteronuclear molecules for certain frequencies of the external field is a consequence of the finite range of the corresponding permanent dipole.
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Affiliation(s)
- Emanuel F de Lima
- Instituto de Geociências e Ciências Exatas, UNESP-Univ Estadual Paulista, Rio Claro, São Paulo 13506-900, Brazil.
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Huang S, Chandre C, Uzer T. Bifurcations as dissociation mechanism in bichromatically driven diatomic molecules. J Chem Phys 2008; 128:174105. [DOI: 10.1063/1.2912058] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/04/2023] Open
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de Lima EF, Hornos JEM. The Morse oscillator under time-dependent external fields. J Chem Phys 2006; 125:164110. [PMID: 17092066 DOI: 10.1063/1.2364502] [Citation(s) in RCA: 14] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
A method to solve the equations for the Morse oscillator under intense time-dependent external fields is presented. Exact analytical formulas for the dipole matrix elements are calculated by the use of the hypergeometric algebra. The continuum is described by an expansion using Laguerre functions. The full algorithm for the calculation of wave functions can be controlled by the convergence of series and by the errors of a first order integration method. We apply our technique to the selective preparation of high overtones by femtosecond laser pulses. The population of the target state is optimized as a function of the intensity and frequency. Introducing a second simultaneous laser, we study the effects of relative frequency and phase over the target state population and dissociation channels. The calculations exhibit a rich interference pattern showing the enhancement and the suppression of the target population by varying the laser parameters.
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Affiliation(s)
- Emanuel F de Lima
- Departamento de Física e Ciência dos Materiais, Instituto de Física de São Carlos, USP, CP-369, 13560970 São Carlos, São Paulo, Brazil.
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Constantoudis V, Nicolaides CA. Stabilization and relative phase effects in a dichromatically driven diatomic Morse molecule: Interpretation based on nonlinear classical dynamics. J Chem Phys 2005; 122:84118. [PMID: 15836031 DOI: 10.1063/1.1854631] [Citation(s) in RCA: 21] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/23/2022] Open
Abstract
The dissociation dynamics of a dichromatically laser-driven diatomic Morse molecule vibrating in the ground state is investigated by applying tools of the nonlinear theory of classical Hamiltonian systems. Emphasis is placed on the role of the relative phase of the two fields, phi. First, it is found that, just like in quantum mechanics, there is dependence of the dissociation probability on phi. Then, it is demonstrated that addition of the second laser leads to suppression of probability (stabilization), when the intensity of the first laser is kept constant just above or below the single laser dissociation threshold. This "chemical bond hardening" diminishes as phi increases. These effects are investigated and interpreted in terms of modifications in phase space topology. Variations of phi as well as of the intensity of the second laser may cause (i) appearance/disappearance of the stability island corresponding to the common resonance with the lowest energy and (ii) deformation and movement of the region of Kolmogorov-Arnold-Moser tori that survive from the undriven system. The latter is the main origin in phase space of stabilization and phi dependence. Finally, it is shown that the use of short laser pulses enhances both effects.
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Affiliation(s)
- Vassilios Constantoudis
- Physics Department, National Technical University and Institute of Microelectronics, NCSR "Demokritos" Aghia Paraskevi, 15310 Athens, Greece.
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Brezina R, Liu WK. Control of Bond Excitation and Dissociation in HCN Using Laser Pulses. J Phys Chem A 2004. [DOI: 10.1021/jp0489370] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Richard Brezina
- Department of Physics and Guelph-Waterloo Physics Institute, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1
| | - Wing-Ki Liu
- Department of Physics and Guelph-Waterloo Physics Institute, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1
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12
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Martin R, Kim JH, Liu WK, Yuan JM. Vibrational and Rotational Excitations of Diatomic Molecules by Chirped Laser Pulses. J CHIN CHEM SOC-TAIP 2002. [DOI: 10.1002/jccs.200200109] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/06/2022]
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Kim JH, Liu WK, McCourt FRW, Yuan JM. Dissociation of diatomic molecules by elliptically polarized chirped pulses. J Chem Phys 2000. [DOI: 10.1063/1.480770] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Kim JH, Liu WK, Yuan JM. Classical-quantum correspondence in multiphoton dissociation of diatomic molecules by chirped laser pulses. J Chem Phys 1999. [DOI: 10.1063/1.479267] [Citation(s) in RCA: 14] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Dana I, Eisenberg E, Shnerb N. Antiresonance and localization in quantum dynamics. PHYSICAL REVIEW. E, STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 1996; 54:5948-5963. [PMID: 9965811 DOI: 10.1103/physreve.54.5948] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Eisenberg E, Avigur R, Shnerb N. Traces of a quantum antiresonance in a driven system. PHYSICAL REVIEW. E, STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 1996; 53:389-392. [PMID: 9964269 DOI: 10.1103/physreve.53.389] [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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Persico M. Multiphoton absorption and anharmonicity. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1996; 53:366-372. [PMID: 9912892 DOI: 10.1103/physreva.53.366] [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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Liu WK, Wu B, Yuan JM. Nonlinear dynamics of chirped pulse excitation and dissociation of diatomic molecules. PHYSICAL REVIEW LETTERS 1995; 75:1292-1295. [PMID: 10060256 DOI: 10.1103/physrevlett.75.1292] [Citation(s) in RCA: 17] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Kim JH, Lee HW. Nonlinear resonance and chaos in the relativistic phase space for driven nonlinear systems. PHYSICAL REVIEW. E, STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 1995; 52:473-480. [PMID: 9963450 DOI: 10.1103/physreve.52.473] [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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Dana I, Eisenberg E, Shnerb N. Dynamical Localization near Quantum Antiresonance: Exact Results and a Solvable Case. PHYSICAL REVIEW LETTERS 1995; 74:686-689. [PMID: 10058822 DOI: 10.1103/physrevlett.74.686] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/23/2023]
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Hennig D, Tsironis GP, Gabriel H. Hamiltonian approach to the dissociation of a coupled nonlinear exciton-vibron system. PHYSICAL REVIEW. E, STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 1994; 49:3653-3664. [PMID: 9961650 DOI: 10.1103/physreve.49.3653] [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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Eisenberg E, Shnerb N. Suppression of chaos, quantum resonance, and statistics of a nonintegrable system. PHYSICAL REVIEW. E, STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 1994; 49:R941-R944. [PMID: 9961403 DOI: 10.1103/physreve.49.r941] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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Permann D, Hamilton I. Energy stepping close to dissociation for HF in a moderate laser field. J Chem Phys 1992. [DOI: 10.1063/1.462920] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Lu ZM, Vallières M, Yuan JM, Heagy JF. Controlling chaotic scattering: Impulsively driven Morse potential. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1992; 45:5512-5523. [PMID: 9907649 DOI: 10.1103/physreva.45.5512] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Hillermeier CF, Blümel R, Smilansky U. Ionization of H Rydberg atoms: Fractals and power-law decay. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1992; 45:3486-3502. [PMID: 9907396 DOI: 10.1103/physreva.45.3486] [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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Henkel J, Holthaus M. Classical resonances in quantum mechanics. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1992; 45:1978-1986. [PMID: 9907187 DOI: 10.1103/physreva.45.1978] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Dibble BG, Shirts RB. Theoretical prediction of ultrahigh vibrational excitation using infrared picosecond pulse trains: Coherent absorption of several photons each of a different frequency. J Chem Phys 1991. [DOI: 10.1063/1.459767] [Citation(s) in RCA: 22] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Lu ZM, Heagy JF, Vallières M, Yuan JM. Quantum dissociation boundary of a kicked Morse oscillator. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1991; 43:1118-1121. [PMID: 9905132 DOI: 10.1103/physreva.43.1118] [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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Heagy J, Yuan JM. Dynamics of an impulsively driven Morse oscillator. PHYSICAL REVIEW. A, ATOMIC, MOLECULAR, AND OPTICAL PHYSICS 1990; 41:571-581. [PMID: 9903141 DOI: 10.1103/physreva.41.571] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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Goggin ME, Milonni PW. Driven Morse oscillator: Classical chaos and quantum theory for two-frequency excitation. PHYSICAL REVIEW. A, GENERAL PHYSICS 1988; 38:5174-5181. [PMID: 9900237 DOI: 10.1103/physreva.38.5174] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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