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We investigate how the dynamical production of quantum entanglement for weakly coupled mapping systems is influenced by the chaotic dynamics of the corresponding classical system. We derive a general perturbative formula for the…

量子物理 · 物理学 2015-06-26 Hiroshi Fujisaki , Atushi Tanaka , Takayuki Miyadera

The minimum entropy production principle provides an approximative variational characterization of close-to-equilibrium stationary states, both for macroscopic systems and for stochastic models. Analyzing the fluctuations of the empirical…

数学物理 · 物理学 2009-11-05 C. Maes , K. Netocny

The entropy production rate is a central quantity in non-equilibrium statistical physics, scoring how far a stochastic process is from being time-reversible. In this paper, we compute the entropy production of diffusion processes at…

统计力学 · 物理学 2023-06-19 Lancelot Da Costa , Grigorios A. Pavliotis

Coherence of a quantum state intrinsically depends on the choice of the reference basis. A natural question to ask is the following: if we use two or more incompatible reference bases, can~there be some trade-off relation between the…

量子物理 · 物理学 2016-07-20 Uttam Singh , Arun Kumar Pati , Manabendra Nath Bera

We discuss the behavior of fidelity for a classically chaotic quantum system in the metallic regime. We show the existence of a critical value of the perturbation below which the exponential decay of fidelity is determined by the width of…

量子物理 · 物理学 2007-05-23 Giuliano Benenti , Giulio Casati

The correspondence principle plays a fundamental role in quantum mechanics, which naturally leads us to inquire whether it is possible to find or determine close classical analogs of quantum states in phase space -- a common meeting point…

量子物理 · 物理学 2022-01-28 A. S. Sanz

Except for the universe, all quantum systems are open, and according to quantum state diffusion theory, many systems localize to wave packets in the neighborhood of phase space points. This is due to decoherence from the interaction with…

量子物理 · 物理学 2008-11-26 Todd A. Brun , Ian C. Percival , Rüdiger Schack

We analyse universal statistical properties of phase shifts and time delays for open chaotic systems in the crossover regime of partly broken time-reversal invariance. In particular, we find that the distribution of the time delay shows…

介观与纳米尺度物理 · 物理学 2009-10-30 Yan V. Fyodorov , Dmitry V. Savin , H. -J. Sommers

We propose a new diagnostic for quantum chaos. We show that time evolution of complexity for a particular type of target state can provide equivalent information about the classical Lyapunov exponent and scrambling time as out-of-time-order…

高能物理 - 理论 · 物理学 2020-02-05 Tibra Ali , Arpan Bhattacharyya , S. Shajidul Haque , Eugene H. Kim , Nathan Moynihan , Jeff Murugan

We discuss fundamental features of the local expression for the entropy production rate of the nonequilibrium quantum dynamics of open systems and its relations to memory effects and the spectrum of the generator of the dynamics. Defining…

量子物理 · 物理学 2026-03-03 Irene Ada Picatoste , Alessandra Colla , Heinz-Peter Breuer

A direct classical analog of the quantum dynamics of intrinsic decoherence in Hamiltonian systems, characterized by the time dependence of the linear entropy of the reduced density operator, is introduced. The similarities and differences…

量子物理 · 物理学 2009-11-10 Jiangbin Gong , Paul Brumer

In nature stationary nonequilibrium systems cannot exist on their own, rather they need to be driven from outside in order to keep them away from equilibrium. While the internal mean entropy of such stationary systems is constant, the…

统计力学 · 物理学 2013-10-03 Somayeh Zeraati , Farhad H. Jafarpour , Haye Hinrichsen

The chaotic diffusion for particles moving in a time dependent potential well is described by using two different procedures: (i) via direct evolution of the mapping describing the dynamics and ; (ii) by the solution of the diffusion…

New exact results about the nonequilibrium thermodynamics of open quantum systems at arbitrary timescales are obtained by considering all possible variations of initial conditions of a system, its environment, and correlations between them.…

统计力学 · 物理学 2021-05-05 Paul M. Riechers , Mile Gu

We consider a quantum spin system consisting of a finite subsystem connected to infinite reservoirs at different temperatures. In this setup we define nonequilibrium steady states and prove that the rate of entropy production in such states…

数学物理 · 物理学 2009-10-31 David Ruelle

If the von Neumann equation is modified by time dependent statistical weights, the time rate of entropy, the entropy exchange and production of a Schottky system are derived whose Hamiltonian does not contain the interaction with the…

量子物理 · 物理学 2019-01-30 Wolfgang Muschik

The total entropy production fluctuations are studied in some exactly solvable models. For these systems, the detailed fluctuation theorem holds even in the transient state, provided initially the system is prepared in thermal equilibrium.…

统计力学 · 物理学 2009-08-08 Arnab Saha , Sourabh Lahiri , A. M. Jayannavar

The effect induced by an environment on a composite quantum system is studied. The model considers the composite system as comprised by a subsystem A coupled to a subsystem B which is also coupled to an external environment. We study all…

量子物理 · 物理学 2010-11-11 Fernando C. Lombardo , Paula I. Villar

An explicit expression for the temperature of an open two-level quantum system is obtained as a function of local properties, under the hypothesis of weak interaction with the environment. This temperature is defined for both equilibrium…

量子物理 · 物理学 2020-05-20 Andrés Vallejo , Alejandro Romanelli , Raúl Donangelo

We study the implementation of a weak multiple delayed feedback for controlling coherence of chaotic oscillations. The specific system we treat is the Lorenz system with classical set of parameters. There are two reasons behind the interest…

统计力学 · 物理学 2009-12-03 Denis S. Goldobin , Elizaveta V. Shklyaeva