Research output: Contribution to journal › Article

**Nonadiabatic dynamics of electrons and atoms under nonequilibrium conditions.** / Kantorovich, L.

Research output: Contribution to journal › Article

Kantorovich, L 2018, 'Nonadiabatic dynamics of electrons and atoms under nonequilibrium conditions', *Physical Review B*, vol. 98, no. 014307, 014307, pp. 1-23. https://doi.org/10.1103/PhysRevB.98.014307

Kantorovich, L. (2018). Nonadiabatic dynamics of electrons and atoms under nonequilibrium conditions. *Physical Review B*, *98*(014307), 1-23. [014307]. https://doi.org/10.1103/PhysRevB.98.014307

Kantorovich L. Nonadiabatic dynamics of electrons and atoms under nonequilibrium conditions. Physical Review B. 2018 Jul;98(014307):1-23. 014307. https://doi.org/10.1103/PhysRevB.98.014307

@article{31b4465057304b99944d24c2571f39bb,

title = "Nonadiabatic dynamics of electrons and atoms under nonequilibrium conditions",

abstract = "An approach to nonadiabatic dynamics of atoms in molecular and condensed matter systems under general nonequilibrium conditions is proposed. In this method interaction between nuclei and electrons is considered explicitly up to the second order in atomic displacements defined with respect to the mean atomic trajectory, enabling one to consider movement of atoms beyond their simple vibrations. Both electrons and nuclei are treated fully quantum-mechanically using a combination of path integrals applied to nuclei and nonequilibrium Green's functions to electrons. Our method is partitionless: initially, the entire system is coupled and assumed to be at thermal equilibrium. Then, the exact application of the Hubbard-Stratonovich transformation in mixed real and imaginary times enables us to obtain, without doing any additional approximations, an exact expression for the reduced density matrix for nuclei and hence an effective quantum Liouville equation for them, both containing Gaussian noises. It is shown that the time evolution of the expectation values for atomic positions is described by an infinite hierarchy of stochastic differential equations for atomic positions and momenta and their various fluctuations. The actual dynamics is obtained by sampling all stochastic trajectories. It is expected that applications of the method may include photoinduced chemical reactions (e.g., dissociation), electromigration, and atomic manipulation in scanning tunneling microscopy, to name just a few.",

keywords = "cond-mat.mtrl-sci, physics.chem-ph",

author = "L. Kantorovich",

note = "30 pages, 1 fugure",

year = "2018",

month = jul,

doi = "10.1103/PhysRevB.98.014307",

language = "English",

volume = "98",

pages = "1--23",

journal = "Physical Review B (Condensed Matter and Materials Physics)",

issn = "1098-0121",

publisher = "American Physical Society",

number = "014307",

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TY - JOUR

T1 - Nonadiabatic dynamics of electrons and atoms under nonequilibrium conditions

AU - Kantorovich, L.

N1 - 30 pages, 1 fugure

PY - 2018/7

Y1 - 2018/7

N2 - An approach to nonadiabatic dynamics of atoms in molecular and condensed matter systems under general nonequilibrium conditions is proposed. In this method interaction between nuclei and electrons is considered explicitly up to the second order in atomic displacements defined with respect to the mean atomic trajectory, enabling one to consider movement of atoms beyond their simple vibrations. Both electrons and nuclei are treated fully quantum-mechanically using a combination of path integrals applied to nuclei and nonequilibrium Green's functions to electrons. Our method is partitionless: initially, the entire system is coupled and assumed to be at thermal equilibrium. Then, the exact application of the Hubbard-Stratonovich transformation in mixed real and imaginary times enables us to obtain, without doing any additional approximations, an exact expression for the reduced density matrix for nuclei and hence an effective quantum Liouville equation for them, both containing Gaussian noises. It is shown that the time evolution of the expectation values for atomic positions is described by an infinite hierarchy of stochastic differential equations for atomic positions and momenta and their various fluctuations. The actual dynamics is obtained by sampling all stochastic trajectories. It is expected that applications of the method may include photoinduced chemical reactions (e.g., dissociation), electromigration, and atomic manipulation in scanning tunneling microscopy, to name just a few.

AB - An approach to nonadiabatic dynamics of atoms in molecular and condensed matter systems under general nonequilibrium conditions is proposed. In this method interaction between nuclei and electrons is considered explicitly up to the second order in atomic displacements defined with respect to the mean atomic trajectory, enabling one to consider movement of atoms beyond their simple vibrations. Both electrons and nuclei are treated fully quantum-mechanically using a combination of path integrals applied to nuclei and nonequilibrium Green's functions to electrons. Our method is partitionless: initially, the entire system is coupled and assumed to be at thermal equilibrium. Then, the exact application of the Hubbard-Stratonovich transformation in mixed real and imaginary times enables us to obtain, without doing any additional approximations, an exact expression for the reduced density matrix for nuclei and hence an effective quantum Liouville equation for them, both containing Gaussian noises. It is shown that the time evolution of the expectation values for atomic positions is described by an infinite hierarchy of stochastic differential equations for atomic positions and momenta and their various fluctuations. The actual dynamics is obtained by sampling all stochastic trajectories. It is expected that applications of the method may include photoinduced chemical reactions (e.g., dissociation), electromigration, and atomic manipulation in scanning tunneling microscopy, to name just a few.

KW - cond-mat.mtrl-sci

KW - physics.chem-ph

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U2 - 10.1103/PhysRevB.98.014307

DO - 10.1103/PhysRevB.98.014307

M3 - Article

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EP - 23

JO - Physical Review B (Condensed Matter and Materials Physics)

JF - Physical Review B (Condensed Matter and Materials Physics)

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ER -

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