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Are Markovian master equations for quantum Brownian motion independent of model assumptions used in the derivation and, thus, universal? With the aim of answering this question, we use a random band-matrix model for the system-bath…

Statistical Mechanics · Physics 2015-06-25 Eric Lutz , Hans A. Weidenmueller

The non-Markovian nature of quantum systems recently turned to be a key subject for investigations on open quantum system dynamics. Many studies, from its theoretical grounding to its usefulness as a resource for quantum information…

A finite-dimensional quantum system is coupled to a bath of oscillators in thermal equilibrium at temperature $T>0$. We show that for fixed, small values of the coupling constant $\lambda$, the true reduced dynamics of the system is…

Quantum Physics · Physics 2022-01-05 Marco Merkli

In this paper, we study both open-loop control and closed-loop measurement feedback control of non-Markovian quantum dynamics arising from the interaction between a quantum system and its environment. We use the widely studied cavity…

Quantum Physics · Physics 2026-04-14 Haijin Ding , Nina H. Amini , John E. Gough , Guofeng Zhang

We present a formulation of non-Markovian quantum trajectories for open systems from a measurement theory perspective. In our treatment there are three distinct ways in which non-Markovian behavior can arise; a mode dependent coupling…

Quantum Physics · Physics 2009-10-31 M. W. Jack , M. J. Collett , D. F. Walls

Nanoscale devices - either biological or artificial - operate in a regime where the usual assumptions of a structureless, Markovian, bath do not hold. Being able to predict and study the dynamics of such systems is crucial and is usually…

Quantum Physics · Physics 2021-11-17 Thibaut Lacroix , Angus Dunnett , Dominic Gribben , Brendon W. Lovett , Alex Chin

Non-Markovian dynamics of two interacting two-level qubits coupled to a bosonic bath was previously studied using the quantum-state-diffusion (QSD) equation, where a stochastic state is used to describe the system. In this study, we provide…

Quantum Physics · Physics 2015-07-29 Tai-Yin Chiu

We derive the full linear-response theory for non-relativistic quantum electrodynamics in the long wavelength limit, show quantum modifications of the well-known Maxwell's equation in matter and provide a practical framework to solve the…

Quantum Physics · Physics 2025-12-23 Johannes Flick , Davis M. Welakuh , Michael Ruggenthaler , Heiko Appel , Angel Rubio

A non-Markovian stochastic Schroedinger equation for a quantum system coupled to an environment of harmonic oscillators is presented. Its solutions, when averaged over the noise, reproduce the standard reduced density operator without any…

Quantum Physics · Physics 2009-10-31 Walter T Strunz , Lajos Diosi , Nicolas Gisin

We present a theoretical framework to tackle quantum non-Markovian dynamics based on a microscopic collision model (CM), where the bath consists of a large collection of initially uncorrelated ancillas. Unlike standard memoryless CMs, we…

Quantum Physics · Physics 2013-04-30 F. Ciccarello , G. M. Palma , V. Giovannetti

In this work, we developed a rigorous procedure for mapping the exact non-Markovian propagator to the generalized Lindblad form. It allows us to extract the negative decay rate that is the indicator of the non-Markovian effect. As a…

Quantum Physics · Physics 2024-12-03 Mariia Ivanchenkoa , Peter L. Walters , Fei Wang

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 analyze the steady-state characteristics of a damped harmonic oscillator (system) in presence of a non-Markovian bath characterized by Lorentzian spectral density. Although Markovian baths presume memoryless dynamics, the introduction of…

Quantum Physics · Physics 2025-02-26 Faisal Farooq , Irfan Ahmad Dar , Muzaffar Qadir Lone

We show how a relativistic Langevin equation can be derived from a Lorentz-covariant version of the Caldeira-Leggett particle-bath Lagrangian. In one of its limits, we identify the obtained equation with the Langevin equation used in…

Statistical Mechanics · Physics 2022-01-12 Aleksandr Petrosyan , Alessio Zaccone

Linear response theory lies at the heart of quantum many-body physics because it builds up connections between the dynamical response to an external probe and correlation functions at equilibrium. Here we consider the dynamical response of…

Quantum Gases · Physics 2020-07-08 Lei Pan , Xin Chen , Yu Chen , Hui Zhai

The reaction coordinate (RC) technique is emerging as a significant tool in the study of quantum dissipative dynamics and quantum thermodynamics. With the objective to further establish this tool, here we explore to what extent the method…

Quantum Physics · Physics 2021-12-08 Nicholas Anto-Sztrikacs , Dvira Segal

We develop a method to study quantum impurity models, small interacting quantum systems linearly coupled to an environment, in presence of an additional Markovian quantum bath, with a generic non-linear coupling to the impurity. We aim at…

Quantum Physics · Physics 2025-03-10 Orazio Scarlatella , Marco Schirò

A rapid restoration of the bath state is usually required to induce Markovian dynamics for an open quantum system, which typically can be realized only in limits such as weak system-bath coupling and infinitely large bath. In this work, we…

Quantum Physics · Physics 2018-01-01 Shengshi Pang , Todd A. Brun , Andrew N. Jordan

We provide a characterization of memory effects in non-Markovian system-bath interactions from a quantum information perspective. More specifically, we establish sufficient conditions for which generalized measures of multipartite quantum,…

Quantum Physics · Physics 2016-05-02 Fagner M. Paula , Paola C. Obando , Marcelo S. Sarandy

We study the behavior of non-Markovianity with respect to the localization of the initial environmental state. The "amount" of non-Markovianity is measured using divisibility and distinguishability as indicators, employing several schemes…

Quantum Physics · Physics 2018-01-03 David Davalos , Carlos Pineda