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The dynamics of open quantum systems (i.e., of quantum systems interacting with an uncontrolled environment) forms the basis of numerous active areas of research from quantum thermodynamics to quantum computing. One approach to modeling…

量子物理 · 物理学 2020-09-23 Daniel Grimmer

Quantum collision models allow for the dynamics of open quantum systems to be described by breaking the environment into small segments, typically consisting of non-interacting harmonic oscillators or two-level systems. This work introduces…

量子物理 · 物理学 2025-10-10 Anton Corr , Stefano Cusumano , Gabriele De Chiara

The accurate description of the interaction of a quantum system with a its environment is a challenging problem ubiquitous across all areas of physics, and lies at the foundation of quantum mechanics theory. Here we pioneer a new strategy…

量子物理 · 物理学 2024-10-21 Hideaki Takahashi , Raffaele Borrelli

Open quantum systems are traditionally described by decomposing the total Hilbert space into a system and an external environment, linked by an explicit interaction Hamiltonian. We propose an alternative framework in which the environment…

量子物理 · 物理学 2026-04-01 Yu Su , Yao Wang

A new method to deal with reduced dynamics of open systems by means of the Schr\"odinger equation is presented. It allows one to consider the reduced time evolution for correlated and uncorrelated initial conditions.

量子物理 · 物理学 2011-09-23 P. Aniello , A. Kossakowski , G. Marmo , F. Ventriglia , P. Vitale

We consider a generalization of the projecting operators method for the case of Cauchy problem for systems of 1D evolution differential equations of first order with variable coefficients. It is supposed that the coefficients dependence on…

数学物理 · 物理学 2014-04-01 Sergey Leble , Irina Vereshchagina

We present the Reduced Operator Approximation: a simple, physically transparent and computationally efficient method of modelling open quantum systems. It employs the Heisenberg picture of the quantum dynamics, which allows us to focus on…

量子物理 · 物理学 2015-08-06 Agnieszka Werpachowska

Dynamics of open quantum systems depends on different types of initial correlations. On the one hand, when system and environment are both inherently multipartite, initial correlations between the parties of the composite environment make…

量子物理 · 物理学 2020-05-06 Sina Hamedani Raja , K P Athulya , Anil Shaji , Jyrki Piilo

We propose a protocol to simulate the evolution of a non-Markovian open quantum system by considering a collisional process with a many-body system, which plays the role of an environment. As a result of our protocol the environment spatial…

量子物理 · 物理学 2017-12-18 Eduardo Mascarenhas , Ines de Vega

We demonstrate that the dynamics of an open quantum system can be calculated efficiently and with predefined error, provided a basis exists in which the system-environment interactions are local and hence obey the Lieb-Robinson bound. We…

量子物理 · 物理学 2015-03-19 Giulia Gualdi , Christiane P. Koch

An equation of motion for open quantum systems incorporating memory effects and initial correlations with the environment is presented in terms of an effective Liouville operator that solely acts on states of the system. The environment can…

量子物理 · 物理学 2018-10-16 Martin Janßen

We show that the coarse-grained dynamics model with the time-dependent and fluctuating potential (transient potential) can be derived from the microscopic Hamiltonian dynamics. The concept of the transient potential was first introduced…

软凝聚态物质 · 物理学 2022-04-18 Takashi Uneyama

Computing reduced-order models using non-intrusive methods is particularly attractive for systems that are simulated using black-box solvers. However, obtaining accurate data-driven models can be challenging, especially if the underlying…

数学物理 · 物理学 2024-01-03 Alberto Padovan , Blaine Vollmer , Daniel J. Bodony

Efficient methods for the description of the non-Markovian dynamics of open systems play an important role in many proposed applications of quantum mechanics. Here we review some of the most important tools that are based on the projection…

量子物理 · 物理学 2007-07-03 Heinz-Peter Breuer

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…

量子物理 · 物理学 2021-04-28 Andrea Smirne , Nina Megier , Bassano Vacchini

Coupling a system to a nonthermal environment can profoundly affect the phase diagram of the closed system, giving rise to a special class of dissipation-induced phase transitions. Such transitions take the system out of its ground state…

量子物理 · 物理学 2021-05-26 Matteo Soriente , Toni L. Heugel , Keita Arimitsu , R. Chitra , Oded Zilberberg

We critically examine the role that correlations established between a system and fragments of its environment play in characterising the ensuing dynamics. We employ a class of dephasing models where the state of the initial environment…

量子物理 · 物理学 2022-02-23 Nina Megier , Andrea Smirne , Steve Campbell , Bassano Vacchini

A characteristic of existing predictive process monitoring techniques is to first construct a predictive model based on past process executions, and then use it to predict the future of new ongoing cases, without the possibility of updating…

We show the connection between a witness that detects dynamical maps with initial system-environment correlations and a witness that detects non-Markovian open quantum systems. Our analysis is based on studying the role that state…

量子物理 · 物理学 2012-07-30 César A. Rodríguez-Rosario , Kavan Modi , Laura Mazzola , Alán Aspuru-Guzik

Interacting quantum systems evolving from an uncorrelated composite initial state generically develop quantum correlations -- entanglement. As a consequence, a local description of interacting quantum system is impossible as a rule. A…

量子物理 · 物理学 2009-11-13 Michael Khasin , Ronnie Kosloff