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We present the non-Markovian generalization of the widely used stochastic Schrodinger equation. Our result allows to describe open quantum systems in terms of stochastic state vectors rather than density operators, without approximation.…

Quantum Physics · Physics 2009-10-30 Lajos Diosi , Walter T. Strunz

Multi-component quantum systems in strong interaction with their environment are receiving increasing attention due to their importance in a variety of contexts, ranging from solid state quantum information processing to the quantum…

Quantum Physics · Physics 2015-03-13 Javier Prior , Alex. W. Chin , Susana. F. Huelga , Martin . B. Plenio

A method for the systematic construction of few-body damped harmonic oscillator networks accurately reproducing the effect of general bosonic environments in open quantum systems is presented. Under the sole assumptions of a Gaussian…

Generic open quantum systems are notoriously difficult to simulate unless one looks at specific regimes. In contrast, classical dissipative systems can often be effectively described by stochastic processes, which are generally less…

Quantum Physics · Physics 2025-12-02 Charlie R. Hogg , Jonas Glatthard , Federico Cerisola , Janet Anders

Understanding decoherence processes is crucial in the study of open quantum systems. In this paper, we discuss the mechanism of pure-dephasing process with a newly proposed boson-boson model, namely, a bosonic field coupled to another…

Quantum Physics · Physics 2018-12-05 Fei-Lei Xiong , Li Li , Zeng-Bing Chen

We present a framework for simulating the open dynamics of spin-boson systems by combining variational non-Gaussian states with a quantum trajectories approach. We apply this method to a generic spin-boson Hamiltonian that has both…

Strong coupling between a system and its environment leads to the emergence of non-Markovian dynamics, which cannot be described by a time-local master equation. One way to capture such dynamics is to use numerical real-time path integrals,…

Mesoscale and Nanoscale Physics · Physics 2017-11-29 Aidan Strathearn , Brendon W. Lovett , Peter Kirton

In recent years, there has been tremendous focus on identifying whether effective descriptions of open quantum systems such as master equations, can accurately describe the dynamics of open quantum systems. One particular question is…

Quantum Physics · Physics 2025-01-23 Gerardo Suárez , Marcin Łobejko , Michał Horodecki

The theory of purified pseudomodes [arXiv:2412.04264 (2024)] was recently developed to provide a numerical tool for the analysis of the properties of a quantum system and the environment it couples to via linear system-bath interactions.…

Quantum Physics · Physics 2025-12-05 Cheng Zhang , Neill Lambert , Xin-Qi Li , Mauro Cirio , Pengfei Liang

Non-Markovian open quantum systems represent the most general dynamics when the quantum system is coupled with a bath environment. The quantum dynamics arising from many important applications are non-Markovian. Although for special cases,…

Quantum Physics · Physics 2023-03-01 Xiantao Li , Chunhao Wang

Quantum two-level systems interacting with the surroundings are ubiquitous in nature. The interaction suppresses quantum coherence and forces the system towards a steady state. Such dissipative processes are captured by the paradigmatic…

Recent advances in quantum technologies and related experiments have created a need for highly accurate, versatile, and computationally efficient simulation techniques for the dynamics of open quantum systems. Long-lived correlation effects…

Quantum Physics · Physics 2026-01-09 Meng Xu , Vasilii Vadimov , J. T. Stockburger , J. Ankerhold

The combination of chain-mapping and tensor-network techniques provides a powerful tool for the numerically exact simulation of open quantum systems interacting with structured environments. However, these methods suffer from a quadratic…

Quantum Physics · Physics 2024-11-26 Davide Ferracin , Andrea Smirne , Susana F. Huelga , Martin B. Plenio , Dario Tamascelli

Optimal control theory is implemented with fully converged hierarchical equations of motion (HEOM) describing the time evolution of an open system density matrix strongly coupled to the bath in a spin-boson model. The populations of the…

Employing a recently proposed measure for quantum non-Markovianity, we carry out a systematic study of the size of memory effects in the spin-boson model for a large region of temperature and frequency cutoff parameters. The dynamics of the…

Quantum Physics · Physics 2012-07-26 Govinda Clos , Heinz-Peter Breuer

In the study of open quantum systems, one typically obtains the decoherence dynamics by solving a master equation. The master equation is derived using knowledge of some basic properties of the system, the environment and their interaction:…

Quantum Physics · Physics 2011-06-22 Hefeng Wang , S. Ashhab , Franco Nori

Here we show how, in the ultra-strongly-coupled spin-boson model, apparently unphysical "Matsubara modes" are required not only to regulate detailed balance, but also to arrive at a correct and physical description of the non-perturbative…

Quantum Physics · Physics 2019-09-05 Neill Lambert , Shahnawaz Ahmed , Mauro Cirio , Franco Nori

We show that an open fermionic system coupled to continuous environment with unitary system-environment evolution can be exactly mapped onto an auxiliary system consisting of the physical fermion system and a set of discrete fermionic modes…

Mesoscale and Nanoscale Physics · Physics 2019-12-19 Feng Chen , Enrico Arrigoni , Michael Galperin

The quantum dynamics of open many-body systems poses a challenge for computational approaches. Here we develop a stochastic scheme based on the positive P phase-space representation to study the nonequilibrium dynamics of coupled spin-boson…

Quantum Physics · Physics 2015-06-11 Stephan Mandt , Darius Sadri , Andrew A. Houck , Hakan E. Türeci

In this work we develop a numerical framework to investigate the renormalization of the non-Markovian dynamics of an open quantum system to which dynamical decoupling is applied. We utilize a non-Markovian master equation which is derived…

Quantum Physics · Physics 2007-06-13 Pochung Chen