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We study the consequences of adopting the memory dependent, non-Markovian, physics with the memory-less over-damped approximation usually employed to investigate Brownian particles. Due to the finite correlation time scale associated with…

Statistical Mechanics · Physics 2019-02-05 Eduardo dos S. Nascimento , Welles A. M. Morgado

The time evolution of quantum correlations of entangled two-mode continuous variable states is examined in single-reservoir as well as two-reservoir models, representing noisy correlated or uncorrelated non-Markovian quantum channels. For…

Quantum Physics · Physics 2009-11-13 C. Hoerhammer , H. Buettner

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

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 investigate a quantum metrological protocol operating in a non-Markovian environment by employing the quantum Brownian motion (QBM) model, in which the system is linearly coupled to a reservoir of harmonic oscillators. Specifically, we…

This work strives to better understand how the entanglement in an open quantum system, here represented by two coupled Brownian oscillators, is affected by a nonMarkovian environment (with memories), here represented by two independent…

Quantum Physics · Physics 2022-12-15 Jen-Tsung Hsiang , Onat Arısoy , Bei-Lok Hu

We consider the effects of memory on the stationary behavior of a two-dimensional Langevin dynamics in a confining potential. The system is treated in an overdamped approximation and the degrees of freedom are under the influence of…

Statistical Mechanics · Physics 2020-01-29 Eduardo dos S. Nascimento , Welles A. M. Morgado

We investigate memory effects in non-Markovian dynamics on superconducting quantum processors provided by IBM Quantum. We use a collision-model approach to implement suitable single- and two-qubit dynamics with a gate-based quantum circuit.…

Quantum Physics · Physics 2026-04-24 Charlotte Bäcker , Krishna Palaparthy , Walter T. Strunz

We investigate the asymptotic dynamics of exact quantum Brownian motion. We find that non-Markovianity can persist in the long-time limit, and that in general the asymptotic behaviour depends strongly on the system-environment coupling and…

Quantum Physics · Physics 2018-04-11 Giuseppe Petrillo , Gianpaolo Torre , Fabrizio Illuminati

We study two continuous variable systems (or two harmonic oscillators) and investigate their entanglement evolution under the influence of non-Markovian thermal environments. The continuous variable systems could be two modes of…

Quantum Physics · Physics 2009-11-13 Kuan-Liang Liu , Hsi-Sheng Goan

We study the evolution of entanglement of a pair of coupled, non-resonant harmonic oscillators in contact with an environment. For both the cases of a common bath and of two separate baths for each of the oscillators, a full master equation…

Quantum Physics · Physics 2018-04-06 Fernando Galve , Gian Luca Giorgi , Roberta Zambrini

Memory effects can be studied through a conditional past-future correlation, which measures departure with respect to a conditional past-future independence valid in a memoryless Markovian regime. In a quantum regime this property leads to…

Quantum Physics · Physics 2019-06-05 Adrian A. Budini

We study the non-Markovian decoherence and disentanglement dynamics of dissipative quantum systems with special emphasis on non-Gaussian continuous variable systems. The dynamics are described by the Hu-Paz-Zhang master equation of quantum…

Quantum Physics · Physics 2007-11-21 C. Hoerhammer , H. Buettner

We study the behavior of a subsystem (harmonic oscillator) in contact with a thermal reservoir (finite set of uncoupled harmonic oscillators). We exactly solve the eigenvalue problem and obtain the temporal evolution of the dynamical…

Quantum Physics · Physics 2007-05-23 Fabian H. Gaioli , Edgardo T. Garcia Alvarez , Javier Guevara

We explore in a rigorous manner the intuitive connection between the non-Markovianity of the evolution of an open quantum system and the performance of the system as a quantum memory. Using the paradigmatic case of a two-level open quantum…

Quantum Physics · Physics 2017-08-14 Margarida Hinarejos , Mari-Carmen Bañuls , Armando Pérez , Inés de Vega

In this paper, we study the dynamical properties of two coupled quantum harmonic oscillators coupled with bosonic non-Markovian environment both in position and momentum. We deduce the exact analytical master equation using Quantum State…

Quantum Physics · Physics 2018-11-06 Hao Jia , Xiaotong Ding

Quantum memory effects can be induced even when the degrees of freedom associated to the environment are not affected at all during the system evolution. In this paper, based on a bipartite representation of the system-environment dynamics,…

Quantum Physics · Physics 2022-01-03 Adrián A. Budini

The nonequilibrium dynamics of a small quantum system coupled to a dissipative environment is studied. We show that (1) the oscillatory dynamics close to a coherent-to-incoherent transition is surprisingly different from the one of the…

Strongly Correlated Electrons · Physics 2013-03-14 D. M. Kennes , O. Kashuba , M. Pletyukhov , H. Schoeller , V. Meden

Memory effects play a fundamental role in the study of the dynamics of open quantum systems. There exist two conceptually distinct notions of memory discussed for quantum channels in the literature. In quantum information theory quantum…

Quantum Physics · Physics 2016-09-26 Carole Addis , Göktuğ Karpat , Chiara Macchiavello , Sabrina Maniscalco

Non-Markovian quantum effects are typically observed in systems interacting with structured reservoirs. Discrete-time quantum walks are prime example of such systems in which, quantum memory arises due to the controlled interaction between…

Quantum Physics · Physics 2018-07-18 N. Pradeep Kumar , Subhashish Banerjee , C. M. Chandrashekar
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