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This article is concerned with a system of particles interacting with the quantized electromagnetic field (photons) in the non relativistic Quantum Electrodynamics (QED) framework and governed by the Pauli-Fierz Hamiltonian. We are…

Mathematical Physics · Physics 2023-05-30 Laurent Amour , Jean Nourrigat

We study the non-equilibrium dynamics of a pair of qubits made of two-level atoms separated in space with distance r and interacting with one common electromagnetic field but not directly with each other. Our calculation makes a weak…

Quantum Physics · Physics 2007-05-23 C. Anastopoulos , S. Shresta , B. L. Hu

We present several recent results concerning the transition between quantum and classical mechanics, in the situation where the underlying dynamical system has an hyperbolic behaviour. The special role of invariant manifolds will be…

Mathematical Physics · Physics 2009-01-21 Thierry Paul

A quantum process is called non-Markovian when memory effects take place during its evolution. Quantum non-Markovianity is a phenomenon typically associated with the information back-flow from the environment to the principal system,…

Quantum Physics · Physics 2025-05-30 Spyros Tserkis , Kade Head-Marsden , Prineha Narang

We describe a general approach to the construction of a state evolution corresponding to the Markov generator of a spatial birth-and-death dynamics in $\mathbb{R}^d$. We present conditions on the birth-and-death intensities which are…

Functional Analysis · Mathematics 2015-01-27 Dmitri Finkelshtein , Yuri Kondratiev , Oleksandr Kutoviy

The relation between the thermodynamic entropy production and non-Markovian evolutions is matter of current research. Here, we study the behavior of the stochastic entropy production in open quantum systems undergoing unital non-Markovian…

Quantum Physics · Physics 2020-08-19 Stefano Gherardini , Stefano Marcantoni , Filippo Caruso

A semiclassical approximation for an evolving density operator, driven by a "closed" hamiltonian operator and "open" markovian Lindblad operators, is obtained. The theory is based on the chord function, i.e. the Fourier transform of the…

Quantum Physics · Physics 2020-08-18 A. M. Ozorio de Almeida , P. de M. Rios , O. Brodier

We explore the relaxation dynamics of quantum many-body systems that undergo purely dissipative dynamics through non-classical jump operators that can establish quantum coherence. Our goal is to shed light on the differences in the…

Quantum Physics · Physics 2015-06-22 Beatriz Olmos , Igor Lesanovsky , Juan P. Garrahan

Non-Markovian effects arising in open quantum systems evolution have been a subject of increasing interest over the past decade. One of the most appealing features of non-Markovianity (NM) is that it captures scenarios where loss of…

Quantum Physics · Physics 2017-08-02 P. M. Poggi , F. C. Lombardo , D. A. Wisniacki

Quantum Darwinism explains the emergence of a classical description of objects in terms of the creation of many redundant registers in an environment containing their classical information. This amplification phenomenon, where only…

Quantum Physics · Physics 2015-08-12 Gian Luca Giorgi , Fernando Galve , Roberta Zambrini

Semiclassical approximations to quantum dynamics are almost as old as quantum mechanics itself. In the approach pioneered by Wigner, the evolution of his quasiprobability density function on phase space is expressed as an asymptotic series…

Quantum Physics · Physics 2007-05-23 A. J. Bracken

We enhance the standard formalism of quantum theory to enable events. The concepts of experiment and of measurement are defined. Dynamics is given by Liouville's equation that couples quantum system to a classical one. It implies a unique…

Quantum Physics · Physics 2009-10-28 Ph. Blanchard , A. Jadczyk

We illustrate the equivalence between the non-unitary evolution of an open quantum system governed by a Markovian master equation and a process of continuous measurements involving this system. We investigate a system of two coupled modes,…

In this article we analyze spin dynamics for electrons confined to semiconductor quantum dots due to the contact hyperfine interaction. We compare mean-field (classical) evolution of an electron spin in the presence of a nuclear field with…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 W. A. Coish , E. A. Yuzbashyan , B. L. Altshuler , Daniel Loss

A relevant problem in the theory of open quantum systems is the lack of complete positivity of dynamical maps obtained after weak-coupling approximations, a famous example being the Redfield master equation. A number of approaches exist to…

Quantum Physics · Physics 2024-08-15 Antonio D'Abbruzzo , Donato Farina , Vittorio Giovannetti

Accessing the physical mechanisms behind non-Markovian phenomena in open quantum dynamics requires the study of the statistical properties of the joint system-environment dynamics. This is impossible at the level of the reduced dynamics of…

Quantum Physics · Physics 2026-03-17 Giovanni Nichele , Fabio Benatti

The exchange of information between an open quantum system and its environment allows us to discriminate among different kinds of dynamics, in particular detecting memory effects to characterize non-Markovianity. Here, we investigate the…

Quantum Physics · Physics 2021-04-28 Andrea Smirne , Nina Megier , Bassano Vacchini

We propose a method of accelerating the speed of evolution of an open system by an external classical driving field for a qubit in a zero-temperature structured reservoir. It is shown that, with a judicious choice of the driving strength of…

Quantum Physics · Physics 2015-06-23 Ying-Jie Zhang , Wei Han , Yun-Jie Xia , Jun-Peng Cao , Heng Fan

The quantum master equation is a widespread approach to describing open quantum system dynamics. In this approach, the effect of the environment on the system evolution is entirely captured by the dynamical generator, providing a compact…

Quantum Physics · Physics 2018-06-27 Jan Kolodynski , Jonatan Bohr Brask , Marti Perarnau-Llobet , Bogna Bylicka

Accurate and efficient simulation of open quantum systems remains a significant challenge, particularly for Non-Markovian dynamics. We demonstrate the profound utility of expressing the environmental correlation function as a sum of damped…

Quantum Physics · Physics 2025-07-22 Gerardo Suárez , Michał Horodecki
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