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We present a mixed quantum-classical approach to strong-field ionization - a semiclassical two-step model with quantum input. In this model the initial conditions for classical trajectories that simulate electron wave packet after…

Atomic Physics · Physics 2019-11-27 N. I. Shvetsov-Shilovski , M. Lein

Winding number transitions in the two dimensional softly broken O(3) nonlinear sigma model are studied at finite energy and temperature. New periodic instanton solutions which dominate the semiclassical transition amplitudes are found…

High Energy Physics - Phenomenology · Physics 2014-11-17 Salman Habib , Emil Mottola , Peter Tinyakov

Statistical behavior of a classical $\phi ^{4}$ Hamiltonian lattice is investigated from microscopic dynamics. The largest Lyapunov exponent and entropies are considered for manifesting chaos and equipartition behaviors of the system. It is…

Chaotic Dynamics · Physics 2018-01-17 Xingang Wang , Ying Zhang , Gang Hu

A bipartite spin system is proposed for which a fast transfer from one defined state into another exists. For sufficient coupling between the spins, this implements a bit-flipping mechanism which is much faster than that induced by…

Quantum Physics · Physics 2023-10-17 Maximilian F. I. Kieler , Arnd Bäcker

We propose a definition of nonclassicality for a single-mode quantum-optical process based on its action on coherent states. If a quantum process transforms a coherent state to a nonclassical state, it is verified to be nonclassical. To…

The method of integrals of motion is used to construct families of generalized coherent states of a nonrelativistic spinless charged particle in a constant electric field. Families of states, differing in the values of their standard…

Quantum Physics · Physics 2018-05-16 T. C. Adorno , A. S. Pereira

The fidelity amplitude is a quantity of paramount importance in echo type experiments. We use semiclassical theory to study the average fidelity amplitude for quantum chaotic systems under external perturbation. We explain analytically two…

Chaotic Dynamics · Physics 2011-11-03 Ignacio García-Mata , Raúl O. Vallejos , Diego A. Wisniacki

Instanton-like transitions (``shadow processes'') are considered in (1+1) dimensional models with one scalar field whose potential is a quadratic well with a cliff. The corresponding classical boundary value problem is solved, and the…

High Energy Physics - Phenomenology · Physics 2010-11-01 D. T. Son , V. A. Rubakov

Motivated by recent experimental progress to read out quantum bits implemented in superconducting circuits via the phenomenon of dynamical bifurcation, transitions between steady orbits in a driven anharmonic oscillator, the Duffing…

Other Condensed Matter · Physics 2015-05-19 Alvise Verso , Joachim Ankerhold

Analytical expressions for the semiclassical dressed states and corresponding quasienergies are obtained for a two-level quantum system driven by a nonresonant and/or strong laser field in a coherent state. These expressions are of first…

Quantum Physics · Physics 2010-07-01 A. Santana , J. M. Gomez Llorente , V. Delgado

The transient response of a stationary state of a quantum particle in a step potential to an instantaneous change in the step height (a simplified model for a sudden bias switch in an electronic semiconductor device) is solved exactly by…

Quantum Physics · Physics 2009-11-07 F. Delgado , H. Cruz , J. G. Muga

We use a semiclassical approach to study out of equilibrium dynamics and transport in quantum systems with massive quasiparticle excitations having internal quantum numbers. In the universal limit of low energy quasiparticles, the system is…

Statistical Mechanics · Physics 2019-03-20 Márton Kormos , Catalin Pascu Moca , Gergely Zaránd

A general semiclassical theory for the calculation of reaction rate constants is developed. The theory can be understood as a formal framework that encompasses existing semiclassical methods: instanton theory and semiclassical transition…

Chemical Physics · Physics 2025-10-09 Joseph E. Lawrence

We present a semiclassical study of the spectrum of a few-body system consisting of two short-range interacting bosonic particles in one dimension, a particular case of a general class of integrable many-body systems where the energy…

Quantum Gases · Physics 2017-08-10 Benjamin Geiger , Juan-Diego Urbina , Quirin Hummel , Klaus Richter

We present a construction of semi-classical states for P\"oschl-Teller potentials based on a supersymmetric quantum mechanics approach. The parameters of these "coherent" states are points in the classical phase space of these systems. They…

Quantum Physics · Physics 2010-07-23 H. Bergeron , J. -P. Gazeau , P. Siegl , A. Youssef

We explore the relation between the quantum and semiclassical instanton approximations for the reaction rate constant. From the quantum instanton expression, we analyze the contributions to the rate constant in terms of minimum-action paths…

Chemical Physics · Physics 2019-10-16 Christophe L. Vaillant , Manish J. Thapa , Jiří Vaníček , Jeremy O. Richardson

The semiclassical propagation of spin coherent states is considered in complex phase space. For two time-independent systems we find the appropriate classical trajectories and show that their combined contributions are able to describe…

Quantum Physics · Physics 2007-12-04 M. Novaes

We construct a coherent state path integral formalism for the one-dimensional Bloch particle within the single band model. The transition amplitude between two coherent states is a sum of transition amplitudes with different winding numbers…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 Junya Shibata , Komajiro Niizeki

The topological theory of phase transitions was proposed on the basis of different arguments, the most important of which are: a direct evidence of the relation between topology and phase transitions for some exactly solvable models; an…

Statistical Mechanics · Physics 2018-02-28 Matteo Gori , Roberto Franzosi , Marco Pettini

We formulate a semiclassical theory for systems with spin-orbit interactions. Using spin coherent states, we start from the path integral in an extended phase space, formulate the classical dynamics of the coupled orbital and spin degrees…

Chaotic Dynamics · Physics 2009-02-20 M. Pletyukhov , Ch. Amann , M. Mehta , M. Brack