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We study the quantum probability to survive in an open chaotic system in the framework of the van Vleck-Gutzwiller propagator and present the first such calculation that accounts for quantum interference effects. Specifically we calculate…

Chaotic Dynamics · Physics 2007-05-23 Mathias Puhlmann , Holger Schanz , Tsampikos Kottos , Theo Geisel

We address the problem of quantum chaos: Is there a rigorous, physically meaningful definition of chaos in quantum physics? Can the tools of classical chaos theory, like Lyapunov exponents, Poincar\'e sections etc. be carried over to…

Quantum Physics · Physics 2016-08-16 L. A. Caron , H. Jirari , H. Kröger , X. Q. Luo , G. Melkonyan , K. J. M. Moriarty

The application of a classical approach to various quantum problems - the secular perturbation approach to quantization of a hydrogen atom in external fields and a helium atom, the adiabatic switching method for calculation of a…

Quantum Physics · Physics 2015-05-18 Evgeni A. Solov'ev

Polaritonic chemistry has ushered in new avenues for controlling molecular dynamics. However, two key questions remain: (i) Can classical light sources elicit the same effects as certain quantum light sources on molecular systems? (ii) Can…

Quantum Physics · Physics 2023-12-13 Leonardo F. Calderón , Humberto Triviño , Leonardo A. Pachón

In this paper, we explore two different ways of implementing quantum effects in a classical structure. The first one is through an external field. The other one is modifying the classical conservation laws. In both cases, the consequences…

General Relativity and Quantum Cosmology · Physics 2016-02-03 J. C. Fabris , O. F. Piattella , D. C. Rodrigues , B. Chauvineau , M. H. Daouda

It is widely recognized that entanglement generation and dynamical chaos are intimately related in semiclassical models via the process of decoherence. In this work, we propose a unifying framework which directly connects the bipartite and…

Quantum Physics · Physics 2020-09-16 Alessio Lerose , Silvia Pappalardi

We extract the information of a quantum motion and decode it into a certain orbit via a single measurable quantity. Such that a quantum chaotic system can be reconstructed as a chaotic attractor. Two configurations for reconstructing this…

Quantum Physics · Physics 2020-05-19 Nan Yang , Xuedong Hu , Yong-Chun Liu , Ting Yu , Franco Nori

We study fluctuations of the Wigner time delay for open (scattering) systems which exhibit mixed dynamics in the classical limit. It is shown that in the semiclassical limit the time delay fluctuations have a distribution that differs…

Chaotic Dynamics · Physics 2010-03-09 J. P. Keating , A. M. Ozorio de Almeida , S. D. Prado , M. Sieber , R. Vallejos

Quantal effects on growth of spinodal instabilities in charge asymmetric nuclear matter are investigated in the framework of a stochastic mean field approach. Due to quantal effects, in both symmetric and asymmetric matter, dominant…

Nuclear Theory · Physics 2008-11-26 S. Ayik , N. Er , O. Yilmaz , A. Gokalp

We consider the quantum and classical Liouville dynamics of a non-integrable model of two coupled spins. Initially localised quantum states spread exponentially to the system dimension when the classical dynamics are chaotic. The long-time…

Quantum Physics · Physics 2009-11-07 J. Emerson , L. E. Ballentine

Our work presents a study on the nonlinear dynamical behavior for a microcavity semiconductor containing a quantum well. Using an external periodic perturbation in energy level we observe the periodic-doubling, quasiperiodic, and direct…

Chaotic Dynamics · Physics 2015-06-04 Hichem Eleuch , Awadhesh Prasad

We study the dynamics of the classical and quantum mechanical scattering of a wave packet from an oscillating barrier. Our main focus is on the dependence of the transmission coefficient on the initial energy of the wave packet for a wide…

Chaotic Dynamics · Physics 2015-05-20 P. K. Papachristou , E. Katifori , F. K. Diakonos , V. Constantoudis , E. Mavrommatis

Excited-state quantum phase transitions (ESQPTs) are critical phenomena that generate singularities in the spectrum of quantum systems. {For systems with a classical counterpart,} these phenomena have their origin in the classical limit…

Quantum Physics · Physics 2021-12-28 Ignacio García-Mata , Diego A. Wisniacki , Eduardo G. Vergini

We identify signatures of chaos in the dynamics of discord in a multiqubit system collectively modelled as a quantum kicked top. The evolution of discord between any two qubits is quasiperiodic in regular regions, while in chaotic regions,…

Quantum Physics · Physics 2015-07-21 Vaibhav Madhok , Vibhu Gupta , Angele M. Hamel , Shohini Ghose

The population decay due to a small opening in an otherwise closed cavity supporting chaotic classical dynamics displays a quantum correction on top of the classical exponential form, a pure manifestation of quantum coherence that acquires…

Quantum Physics · Physics 2021-05-12 Camilo Moreno , Juan-Diego Urbina

Quantization of energy balance equations, which describe a separatrix -- like motion is presented. The method is based on an exact canonical transformation of the energy--time pair to the action-angle canonical pair, $ (E,t)\to (I,\theta)…

Chaotic Dynamics · Physics 2007-05-23 A. Iomin , S. Fishman , G. M. Zaslavsky

We analyze the classical and quantum properties of the integrable dimer problem. The classical version exhibits exactly one bifurcation in phase space, which gives birth to permutational symmetry broken trajectories and a separatrix. The…

Statistical Mechanics · Physics 2007-05-23 S. Aubry , S. Flach , K. Kladko , E. Olbrich

Quantum fluctuations or other moments of a state contribute to energy expectation values and can imply interesting physical effects. In quantum cosmology, they turn out to be important for a discussion of density bounds and instabilities of…

General Relativity and Quantum Cosmology · Physics 2014-07-02 Martin Bojowald

A new micro-irreversible 3D theory of quantum multichannel scattering in the three-body system is developed. The quantum approach is constructed on the generating trajectory tubes which allow taking into account influence of classical…

Quantum Physics · Physics 2007-05-23 Ashot S. Gevorkyan , Alexander V. Bogdanov , Gunnar Nyman

We investigate beyond-mean-field dynamics in a fully connected $\mathrm{SU}(3)$ spin-exchange model, focusing on the interplay between chaotic dynamics and quantum fluctuations. Using the two-particle irreducible (2PI) effective action…

Statistical Mechanics · Physics 2026-05-27 Aleksandra A. Ziolkowska , Aleksandr N. Mikheev