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Local master equations are a widespread tool to model open quantum systems, especially in the context of many-body systems. These equations, however, are believed to lead to thermodynamic anomalies and violation of the laws of…

Quantum Physics · Physics 2021-02-23 Adam Hewgill , Gabriele De Chiara , Alberto Imparato

We investigate the potential of supervised machine learning to propagate a quantum system in time. While Markovian dynamics can be learned easily, given a sufficient amount of data, non-Markovian systems are non-trivial and their…

Quantum Physics · Physics 2022-07-13 James Nelson , Luuk Coopmans , Graham Kells , Stefano Sanvito

We treat several key stochastic equations for non-Markovian open quantum system dynamics and present a formalism for finding solutions to them via canonical perturbation theory, without making the Born-Markov or rotating wave approximations…

Quantum Physics · Physics 2012-02-06 C. H. Fleming , B. L. Hu

A systematic first-order correction to the standard Markov master equation for open quantum systems interacting with a bosonic bath is presented. It extends the Markov Lindblad master equation to the more general case of non-Markovian…

Quantum Physics · Physics 2009-10-31 Ting Yu , Lajos Diosi , Nicolas Gisin , Walter T. Strunz

Relaxation rates are key characteristics of quantum processes, as they determine how quickly a quantum system thermalizes, equilibrates, decoheres, and dissipates. While they play a crucial role in theoretical analyses, relaxation rates are…

Driven quantum systems subject to non-Markovian noise are typically difficult to model even if the noise is classical. We present a systematic method based on generalized cumulant expansions for deriving a time-local master equation for…

Quantum Physics · Physics 2023-04-12 Peter Groszkowski , Alireza Seif , Jens Koch , A. A. Clerk

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

In this paper, we consider stochastic master equations describing the evolution of quantum spin-1/2 systems interacting with electromagnetic fields undergoing continuous-time measurements. We suppose that the initial states and the exact…

Optimization and Control · Mathematics 2020-04-14 Weichao Liang , Nina H. Amini , Paolo Mason

It is believed that an isolated and far-from-equilibrium quantum many-body system should try to attain equilibrium via a mechanism whereby any given subsystem acts as an open quantum system that is coupled to an environment, which is the…

Quantum Physics · Physics 2025-07-08 Aditya Banerjee

Assuming Markovian time evolution of a quantum sensing system, we study the general characterization of the optimal sensitivity scalings with time, under most general quantum control protocols. We allow the estimated parameter to influence…

Quantum Physics · Physics 2025-02-12 Arpan Das , Wojciech Gorecki , Rafal Demkowicz-Dobrzanski

We present a theory of finite-frequency noise in non-equilibrium conductors. It is shown that Non-Markovian correlations are essential to describe the physics of quantum noise. In particular, we show the importance of a correct treatment of…

Mesoscale and Nanoscale Physics · Physics 2011-04-01 D. Marcos , C. Emary , T. Brandes , R. Aguado

We study a particular form of interaction Hamiltonian between qubits and quantum harmonic oscillators, whose closed system dynamics results in qubit controlled displacement operations. We show how this interaction is realizable in many…

Quantum Physics · Physics 2012-09-18 Tommaso Tufarelli

Recently we pointed out the so-called Local Time Scheme as a novel approach to quantum foundations that solves the preferred pointer-basis problem. In this paper we introduce and analyze in depth a rather non-standard dynamical map that is…

Quantum Physics · Physics 2016-09-28 J. Jeknic-Dugic , M. Arsenijevic , M. Dugic

A conjecture for the universal constraints for relaxation rates of a quantum dynamical semigroup is proposed. It is shown that it holds for several interesting classes of semigroups, e.g. unital semigroups and semigroups derived in the weak…

Quantum Physics · Physics 2021-08-04 Dariusz Chruscinski , Gen Kimura , Andrzej Kossakowski , Yasuhito Shishido

We microscopically model the decoherence dynamics of entangled coherent states under the influence of vacuum fluctuation. We derive an exact master equation with time-dependent coefficients reflecting the memory effect of the environment,…

Quantum Physics · Physics 2009-06-02 Jun-Hong An , Mang Feng , Wei-Min Zhang

The stationary solution \rho of a quantum master equation can be represented as an ensemble of pure states in a continuous infinity of ways. An ensemble which is physically realizable through monitoring the system's environment we call an…

Quantum Physics · Physics 2009-10-30 H. M. Wiseman , J. A. Vaccaro

The conditions under which quantum-classical Liouville dynamics may be reduced to a master equation are investigated. Systems that can be partitioned into a quantum-classical subsystem interacting with a classical bath are considered.…

Statistical Mechanics · Physics 2015-06-25 Robbie Grunwald , Raymond Kapral

Memoryless processes are ubiquitous in nature, in contrast with the mathematics of open systems theory, which states that non-Markovian processes should be the norm. This discrepancy is usually addressed by subjectively making the…

Quantum Physics · Physics 2021-06-10 Pedro Figueroa-Romero , Felix A. Pollock , Kavan Modi

Quantum systems strongly coupled to many-body systems equilibrate to the reduced state of a global thermal state, deviating from the local thermal state of the system as it occurs in the weak-coupling limit. Taking this insight as a…

Quantum Physics · Physics 2018-03-28 M. Perarnau-Llobet , H. Wilming , A. Riera , R. Gallego , J. Eisert

For studying the dynamics of a two-level system coupled to a quantum oscillator we have presented an analytical approach, the transformed rotating-wave approximation, which takes into account the effect of the counter-rotating terms but…

Quantum Physics · Physics 2015-05-13 Congjun Gan , Hang Zheng
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