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The exploitation and characterization of memory effects arising from the interaction between system and environment is a key prerequisite for quantum reservoir engineering beyond the standard Markovian limit. In this paper we investigate a…

Quantum Physics · Physics 2018-04-04 S. Hamedani Raja , M. Borrelli , R. Schmidt , J. P. Pekola , S. Maniscalco

We propose a method for the algorithmic quantum simulation of memory effects described by integrodifferential evolution equations. It consists in the systematic use of perturbation theory techniques and a Markovian quantum simulator. Our…

Quantum Physics · Physics 2017-03-01 U. Alvarez-Rodriguez , R. Di Candia , J. Casanova , M. Sanz , E. Solano

We investigate the effects of voltage induced spin-relaxation in a quantum dot in the Kondo regime. Using nonequilibrium perturbation theory, we determine the joint effect of self-energy and vertex corrections to the conduction electron…

Strongly Correlated Electrons · Physics 2007-05-23 J. Paaske , A. Rosch , J. Kroha , P. Wölfle

For a bosonic (fermionic) open system in a bath with many bosons (fermions) modes, we derive the exact non-Markovian master equation in which the memory effect of the bath is reflected in the time dependent decay rates. In this approach,…

Quantum Physics · Physics 2013-01-29 Li-Ping Yang , C. Y. Cai , D. Z. Xu , Wei-Min Zhang , C. P. Sun

Using recently proposed measures for non-Markovianity [H. P. Breuer, E. M. Laine, and J. Piilo, Phys. Rev. Lett. {\bf 103}, 210401 (2009)], we study the dynamics of a qubit coupled to a spin environment via an energy-exchange mechanism. We…

Quantum Physics · Physics 2015-05-20 T. J. G. Apollaro , C. Di Franco , F. Plastina , M. Paternostro

A perturbative quantum master equation is derived for a system interacting with its environment, which is more general than the ones derived before. Our master equation takes into account the effect of the energy exchanges between the…

Statistical Mechanics · Physics 2009-11-10 M. Esposito , P. Gaspard

We apply the recently proposed quasi-classical approach for a second quantized many-electron Hamiltonian in Cartesian coordinates [J. Chem. Phys. 137, 154107 (2012)] to correlated nonequilibrium quantum transport. The approach provides…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 Bin Li , Tal J. Levy , David W. H. Swenson , Eran Rabani , William H. Miller

When a quantum system interacts with multiple reservoirs, the environmental effects are usually treated in an additive manner. We show that this assumption breaks down for non-Markovian environments that have finite memory times.…

Quantum Physics · Physics 2014-04-30 Ching-Kit Chan , Guin-Dar Lin , Susanne F. Yelin , Mikhail D. Lukin

We study non-Markovian dynamics of a two level atom using pseudomode method. Because of the memory effect of non-Markovian dynamics, the atom receives back information and excited energy from the reservoir at a later time, which causes more…

Quantum Physics · Physics 2017-01-27 Yuta Ohyama , Yasuhiro Tokura

Master equations are a useful tool to describe the evolution of open quantum systems. In order to characterize the mathematical features and the physical origin of the dynamics, it is often useful to consider different kinds of master…

Quantum Physics · Physics 2020-08-24 Nina Megier , Andrea Smirne , Bassano Vacchini

In this letter, the Kondo magnetic effect is studied for the $XXZ$ spin chain where the impurities are coupled to the edges of the system. The Hamiltonian of our model can be constructed from the transfer matrix. It is exactly solvable and…

Strongly Correlated Electrons · Physics 2009-10-31 Zhan-Ning Hu , Fu-Cho Pu

We deduce a class of non-Markovian completely positive master equations which describe a system in a composite bipartite environment, consisting of a Markovian reservoir and additional stationary unobserved degrees of freedom that modulate…

Quantum Physics · Physics 2007-05-23 Adrian A. Budini , Henning Schomerus

This MS thesis explores the effects and origins of a 'noise with memory' in the dynamics of an open quantum system. The system considered here is a multi-qubit register performing the Grover's quantum search algorithm. We show that a…

Quantum Physics · Physics 2023-03-27 Sheikh Parvez Mandal

We theoretically study the open quantum system dynamics (in the Trotterized limit) of integrable quantum circuits in the presence of onsite dephasing noise with a spin-$\frac{1}{2}$ impurity interacting at the edge. Using a combination of…

Strongly Correlated Electrons · Physics 2025-08-28 Yicheng Tang , Pradip Kattel , J. H. Pixley , Natan Andrei

A central question of dynamics, largely open in the quantum case, is to what extent it erases a system's memory of its initial properties. Here we present a simple statistically solvable quantum model describing this memory loss across an…

In this article, we study the impact of self-interaction and multiparticle states on sustaining negative energies in relativistic quantum systems. For physically reasonable models, one usually requires bounds on both magnitude and duration…

High Energy Physics - Theory · Physics 2024-11-20 Jan Mandrysch

The influence matrix (IM) provides a powerful framework for characterizing nonequilibrium quantum many-body dynamics by encoding multitime correlations into tensor-network states. Understanding how its computational complexity relates to…

Quantum Physics · Physics 2025-10-28 He-Ran Wang , Ilya Vilkoviskiy , Dmitry A. Abanin

Quantum Landauer's principle provides a fundamental lower bound for energy dissipation occurred with information erasure in the quantum regime. While most studies have related the entropy reduction incorporated with the erasure to the lower…

Quantum Physics · Physics 2022-04-29 Kazunari Hashimoto , Chikako Uchiyama

We investigate the real-time current response of strongly-correlated quantum dot systems under sinusoidal driving voltages. By means of an accurate hierarchical equations of motion approach, we demonstrate the presence of prominent memory…

Strongly Correlated Electrons · Physics 2015-06-15 Xiao Zheng , YiJing Yan , Massimiliano Di Ventra

In this perspective paper, we look into memory effects in out-of-equilibrium systems. To be concrete, we exemplify memory effects with the paradigmatic case of granular fluids, although extensions to other contexts such as molecular fluids…

Statistical Mechanics · Physics 2023-10-12 A Patrón , B. Sánchez-Rey , C. A. Plata , A. Prados
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