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It is shown how any Lindbladian evolution with selfadjoint Lindblad operators, either Markovian or nonMarkovian, can be understood as an averaged random unitary evolution. Both mathematical and physical consequences are analyzed. First a…

Quantum Physics · Physics 2007-05-23 D. Salgado , J. L. Sanchez-Gomez

Using a map between the Lindbladian evolution of dephasing in free fermions and the time evolution of imaginary-interaction Fermi-Hubbard models in bipartite lattices, we present an efficient classical algorithm to solve the Schr\"{o}dinger…

Quantum Physics · Physics 2026-01-21 Raul A. Santos

We present evidence that decoherence can produce a smooth quantum-to-classical transition in nonlinear dynamical systems. High-resolution tracking of quantum and classical evolutions reveals differences in expectation values of…

Quantum Physics · Physics 2009-10-31 Salman Habib , Kosuke Shizume , Wojciech Hubert Zurek

We compare two approaches to open quantum systems, namely, the non-Hermitian dynamics and the Lindblad master equation. In order to deal with more general dissipative phenomena, we propose the unified master equation that combines the…

Quantum Physics · Physics 2014-09-10 Konstantin G. Zloshchastiev , Alessandro Sergi

This article is concerned with the time evolution of a $\frac{1}{2}$-spin particle in a constant external magnetic field with the quantized electromagnetic field (photons). We derive a Lindblad (or GKLS) type approximation of the spin…

Mathematical Physics · Physics 2020-06-24 Laurent Amour , Jean Nourrigat

High fidelity models, which support accurate device characterization and correctly account for environmental effects, are crucial to the engineering of scalable quantum technologies. As it ensures positivity of the density matrix, one…

Quantum Physics · Physics 2017-11-01 S. N. A. Duffus , V. M. Dwyer , M. J. Everitt

Describing open quantum systems far from equilibrium is challenging, in particular when the environment is mesoscopic, when it develops nonequilibrium features during the evolution, or when the memory effects cannot be disregarded. Here, we…

Quantum Physics · Physics 2021-03-17 Andreu Riera-Campeny , Anna Sanpera , Philipp Strasberg

We investigate the dissipative dynamics yielded by the Lindblad equation within the coexistence region around a first order phase transition. In particular, we consider an exactly-solvable fullyconnected quantum Ising model with n-spin…

Statistical Mechanics · Physics 2019-09-11 Andrea Nava , Michele Fabrizio

Experimentally observed quantum few-body dynamics of neutral atoms excited to a Rydberg state are numerically analyzed with Lindblad master equation formalism. For this, up to five rubidium atoms are trapped with optical tweezers, arranged…

Atomic Physics · Physics 2019-04-17 Woojun Lee , Minhyuk Kim , Hanlae Jo , Yunheung Song , Jaewook Ahn

With their constantly increasing peak performance and memory capacity, modern supercomputers offer new perspectives on numerical studies of open many-body quantum systems. These systems are often modeled by using Markovian quantum master…

Multitime quantum correlation functions are central objects in physical science, offering a direct link between experimental observables and the dynamics of an underlying model. While experiments such as 2D spectroscopy and quantum control…

Chemical Physics · Physics 2024-07-10 Thomas Sayer , Andrés Montoya-Castillo

This paper explores the use of laboratory closed-loop learning control to either fight or cooperate with decoherence in the optimal manipulation of quantum dynamics. Simulations of the processes are performed in a Lindblad formulation on…

Quantum Physics · Physics 2007-05-23 Feng Shuang , Herschel Rabitz

Master equations describe the quantum dynamics of open systems interacting with an environment. They play an increasingly important role in understanding the emergence of semiclassical behavior and the generation of entropy, both being…

Quantum Physics · Physics 2009-10-31 Hans-Thomas Elze

We propose a general stochastic formalism for describing the evolution of chemical reactions involving a finite number of molecules. This approach is consistent with the statistical analysis based on the Chemical Master Equation, and…

Statistical Mechanics · Physics 2023-01-13 Chiara Pezzotti , Massimiliano Giona

We propose a new form for the quantum master equation in the theory of open quantum systems. This new formalism allows one to describe the dynamics of two-level systems moving along different hyperbolic trajectories with distinct proper…

High Energy Physics - Theory · Physics 2023-01-11 M. S. Soares , G. Menezes , N. F. Svaiter

An exact quantum master equation formalism is constructed for the efficient evaluation of quantum non-Markovian dissipation beyond the weak system-bath interaction regime in the presence of time-dependent external field. A novel truncation…

Quantum Physics · Physics 2009-11-10 Rui-Xue Xu , Ping Cui , Xin-Qi Li , Yan Mo , YiJing Yan

An experimentally realizable model based on the interaction between an excited two-level atom and a radiation field inside two quantum electrodynamics cavities is proposed. It consists of sending an excited two-level atom through two serial…

Quantum Physics · Physics 2020-09-15 Khadija El Anouz , Abderrahim El Allati , Farhan Saif

In our previous studies (see [1] and references therein) we developed a new theoretical framework that enabled one to consider a new mechanism of neutrino quantum decoherence engendered by the neutrino radiative decay. In parallel, another…

High Energy Physics - Phenomenology · Physics 2022-09-21 Konstantin Stankevich , Alexander Studenikin

Investigations of quantum and mesoscopic thermodynamics force one to answer two fundamental questions associated with the foundations of statistical mechanics: (i) how does macroscopic irreversibility emerge from microscopic reversibility?…

Quantum Physics · Physics 2019-02-20 Wei-Min Zhang

A strong analog classical simulation of general quantum evolution is proposed, which serves as a novel scheme in quantum computation and simulation. The scheme employs the approach of geometric quantum mechanics and quantum informational…

Quantum Physics · Physics 2017-03-16 Dong-Sheng Wang
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