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Related papers: Open quantum-classical systems: A hybrid MASH mast…

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Providing entanglement for the design of quantum technologies in the presence of noise constitutes today's main challenge in quantum information science. A framework is required that assesses the build-up of entanglement in realistic…

Quantum Physics · Physics 2026-01-26 Julien Pinske , Laura Ares , Benjamin Hinrichs , Martin Kolb , Jan Sperling

It is shown that non-Markovian master equations for an open system which are local in time can be unravelled through a piecewise deterministic quantum jump process in its Hilbert space. We derive a stochastic Schr\"odinger equation that…

Quantum Physics · Physics 2009-11-13 Heinz-Peter Breuer , Jyrki Piilo

We present the Born-Markov approximated Redfield quantum master equation (RQME) description for an open system of non-interacting particles (bosons or fermions) on an arbitrary lattice of $N$ sites in any dimension and weakly connected to…

Statistical Mechanics · Physics 2016-06-16 Archak Purkayastha , Abhishek Dhar , Manas Kulkarni

Often quantum systems are not isolated and interactions with their environments must be taken into account. In such open quantum systems these environmental interactions can lead to decoherence and dissipation, which have a marked influence…

Quantum Physics · Physics 2016-11-14 Raymond Kapral

In response to a community prediction challenge, we simulate the nonadiabatic dynamics of cyclobutanone using the mapping approach to surface hopping (MASH). We consider the first 500 fs of relaxation following photo-excitation to the S2…

We discuss how quantum jumps affect localized regimes in driven-dissipative disordered many-body systems featuring a localization transition. We introduce a deformation of the Lindblad master equation that interpolates between the standard…

Quantum Physics · Physics 2024-05-08 Sparsh Gupta , Hari Kumar Yadalam , Manas Kulkarni , Camille Aron

On the basis of the dynamical-quantization approach to open quantum systems, we can derive a non-Markovian Caldeira-Leggett quantum master equation as well as a non-Markovian quantum Smoluchowski equation in phase space. On the one hand, we…

Statistical Mechanics · Physics 2015-03-17 A. O. Bolivar

We present a quantum algorithm based on the Generalized Quantum Master Equation (GQME) approach to simulate open quantum system dynamics on noisy intermediate-scale quantum (NISQ) computers. This approach overcomes the limitations of the…

For adiabatically and periodically manipulated dissipative quantum systems we derive, using Floquet theory, a simple Markovian master equation. Contrary to some previous works we explicitly take into account the time dependence of the…

Superconductivity · Physics 2015-03-19 I. Kamleitner , A. Shnirman

We consider quantum trajectories of composite systems as generated by the stochastic unraveling of the respective Lindblad-master-equation. Their classical limit is taken to correspond to local jumps between orthogonal states. Based on…

Quantum Physics · Physics 2009-10-31 C. M. Granzow , G. Mahler

A generalization of the stochastic wave function method is presented which allows the unravelling of arbitrary linear quantum master equations which are not necessarily in Lindblad form and, moreover, the explicit treatment of memory…

Quantum Physics · Physics 2007-05-23 H. P. Breuer , B. Kappler , F. Petruccione

Starting from a microscopic description of weak system-bath interactions, we derive from first principles a quantum master equation that does not rely on the well-known rotating wave approximation. This includes generic many-body systems,…

Quantum Physics · Physics 2026-03-11 Matteo Scandi , Álvaro M. Alhambra

Quantum systems of interest are typically coupled to several quantum channels (more generally environments). In this paper, we develop an exact stochastic Schr\"{o}dinger equation for an open quantum system coupled to a hybrid environment…

Quantum Physics · Physics 2017-05-11 Xinyu Zhao , Wufu Shi , J. Q. You , Ting Yu

We develop a new method for the construction of one-dimensional integrable Lindblad systems, which describe quantum many body models in contact with a Markovian environment. We find several new models with interesting features, such as…

Statistical Mechanics · Physics 2021-06-23 Marius de Leeuw , Chiara Paletta , Balázs Pozsgay

In open quantum systems decoherence occurs through interaction of a quantum subsystem with its environment. The computation of expectation values requires a knowledge of the quantum dynamics of operators and sampling from initial states of…

Statistical Mechanics · Physics 2009-11-13 Robbie Grunwald , Hyojoon Kim , Raymond Kapral

Fewest-switches surface hopping is studied in the context of quantum-classical Liouville dynamics. Both approaches are mixed quantum-classical theories that provide a way to describe and simulate the nonadiabatic quantum dynamics of…

Quantum Physics · Physics 2016-05-27 Raymond Kapral

Surface hopping algorithms are popular tools to study dynamics of the quantum-classical mixed systems. In this paper, we propose a surface hopping algorithm in diabatic representations, based on time dependent perturbation theory and…

Numerical Analysis · Mathematics 2022-10-19 Di Fang , Jianfeng Lu

The Lindblad master equation (LME) describing the Markovian dynamics of the quantum open system can be understood as the evolution of the effective non-Hermitian Hamiltonian balanced with random quantum jumps. Here we investigate the…

Quantum Physics · Physics 2025-01-13 Yu-Guo Liu , Shu Chen

In mixed quantum-classical simulations of molecule-metal surface interactions, the discretization of the metallic electronic continuum typically results in a closed-system representation that fails to capture the open-system nature of the…

Chemical Physics · Physics 2026-03-19 Yongtao Ma , Wenjie Dou

Non-Markovian evolution of an open quantum system can be `unraveled' into pure state trajectories generated by a non-Markovian stochastic (diffusive) Schr\"odinger equation, as introduced by Di\'osi, Gisin, and Strunz. Recently we have…

Quantum Physics · Physics 2009-11-10 Jay Gambetta , T. Askerud , H. M. Wiseman