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We study non-Markovianity in the exact dynamics of two two-level atoms in a resonant cavity. We find a critical behavior in the form of a Markovian to non-Markovian transition at a finite interatomic distance and a discontinuity in the…

Quantum Physics · Physics 2025-02-28 Ignacio González , Ángel Rivas

The time reversal of a completely-positive, nonequilibrium discrete-time quantum Markov evolution is derived via a suitable adjointness relation. Space-time harmonic processes are introduced for the forward and reverse-time transition…

Quantum Physics · Physics 2009-04-29 Francesco Ticozzi , Michele Pavon

Simulations are performed of a small quantum system interacting with a quantum environment. The system consists of various initial states of two harmonic oscillators coupled to give normal modes. The environment is "designed" by its level…

Statistical Mechanics · Physics 2015-06-15 George L. Barnes , Michael E. Kellman

We study quantum non-Markovian dynamics of the Caldeira-Leggett model, a prototypical model for quantum Brownian motion describing a harmonic oscillator linearly coupled to a reservoir of harmonic oscillators. Employing the exact analytical…

Quantum Physics · Physics 2020-09-02 Simon Einsiedler , Andreas Ketterer , Heinz-Peter Breuer

Controlling phase transitions in quantum systems via coupling to reservoirs has been mostly studied for idealized memory-less environments under the so-called Markov approximation. Yet, most quantum materials and experiments in the solid…

Quantum Physics · Physics 2024-10-11 Baptiste Debecker , John Martin , François Damanet

We compare two approaches to non-Markovian quantum evolution: one based on the concept of divisible maps and the other one based on distinguishability of quantum states. The former concept is fully characterized in terms of local generator…

Quantum Physics · Physics 2013-04-30 Dariusz Chruściński , Filip A. Wudarski

We calculate in an exact way the conditional past-future correlation for the decay dynamics of a two-level system in a bosonic bath. Different measurement processes are considered. In contrast to quantum memory measures based solely on…

We construct a non-Markovian canonical dynamical map that accounts for systems correlated with the environment. The physical meaning of not completely positive maps is studied to obtain a theory of non-Markovian quantum dynamics. The…

Quantum Physics · Physics 2008-05-23 Cesar A. Rodriguez-Rosario , E. C. G. Sudarshan

Since it's rediscovery in the twentieth century, the Mpemba effect, where a far-from-equilibrium state may relax faster than a state closer to equilibrium, has been extensively studied in classical systems and has recently received…

Quantum Physics · Physics 2026-01-16 David J. Strachan , Archak Purkayastha , Stephen R. Clark

We consider two identical and non-interacting harmonic oscillators coupled to either two independent bosonic baths or to a common bosonic bath. Under the only assumption of weak coupling, we analyze in details the non-Markovian short…

Quantum Physics · Physics 2015-05-18 R. Vasile , P. Giorda , S. Olivares , M. G. A. Paris , S. Maniscalco

The approach to equilibrium of a nondegenerate quantum system involves the damping of microscopic population oscillations, and, additionally, the bringing about of detailed balance, i.e. the achievement of the correct Boltzmann factors…

Statistical Mechanics · Physics 2015-06-16 M. Tiwari , V. M. Kenkre

By the example of a kicked quartic oscillator we investigate the dynamics of classically chaotic quantum systems with few degrees of freedom affected by persistent external noise. Stability and reversibility of the motion are analyzed in…

Quantum Physics · Physics 2009-12-27 Valentin V. Sokolov , Oleg V. Zhirov , Yaroslav A. Kharkov

We investigate the non-stationary phenomenon in a tripartite spin-1/2 system in the collision model (CM) framework. After introducing the dissipation through the system-environment collision for both Markovian and non-Markovian cases, we…

Quantum Physics · Physics 2023-04-11 Yan Li , Xingli Li , Jiasen Jin

We study the applicability of collisional models for non-Markovian dynamics of open quantum systems. By allowing interactions between the separate environmental degrees of freedom in between collisions we are able to construct a collision…

Quantum Physics · Physics 2016-07-13 Silvan Kretschmer , Kimmo Luoma , Walter T. Strunz

We study the dissipative dynamics of $N$ quantum spins with Lindblad generator consisting of operators scaling as fluctuations, namely with the inverse square-root of $N$. In the large $N$ limit, the microscopic dissipative time-evolution…

Quantum Physics · Physics 2016-06-08 Fabio Benatti , Federico Carollo , Roberto Floreanini , Heide Narnhofer

We address the system-reservoir dynamics of classical and quantum correlations in the decoherence phenomenon, regarding a two qubit composite system interacting with two independent environments. The most common noise channels (amplitude…

Quantum Physics · Physics 2011-12-02 J. Maziero , T. Werlang , F. F. Fanchini , L. C. Celeri , R. M. Serra

We investigate the dynamics of a quantum system coupled linearly to Gaussian white noise using functional methods. By performing the integration over the noisy field in the evolution operator, we get an equivalent non-Hermitian Hamiltonian,…

Quantum Physics · Physics 2016-07-20 O. Oliveira , W. de Paula , T. Frederico , M. S. Hussein

We investigate the dynamics of quantum correlations (QC) under the effects of reservoir memory, as a resource for quantum information and computation tasks. Quantum correlations of two-qubit systems are used for implementing quantum…

Quantum Physics · Physics 2022-02-17 K. G Paulson , Ekta Panwar , Subhashish Banerjee , R. Srikanth

We investigate the entanglement dynamics of continuous-variable quantum channels in terms of an entangled squeezed state of two cavity fields in a general non-Markovian environment. Using the Feynman-Vernon influence functional theory in…

Quantum Physics · Physics 2009-11-13 Jun-Hong An , Wei-Min Zhang

We investigate quench dynamics in a one-dimensional spin model, comparing both quantum and classical descriptions. Our primary focus is on the different timescales involved in the evolution of the observables as they approach statistical…

Statistical Mechanics · Physics 2024-11-21 Fausto Borgonovi , Felix M. Izrailev , Lea F. Santos