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We derive and analyze the Born-Markov master equation for a quantum harmonic oscillator interacting with a bath of independent two-level systems. This hitherto virtually unexplored model plays a fundamental role as one of the four…

量子物理 · 物理学 2008-02-20 Maximilian Schlosshauer , Andrew P. Hines , Gerard J. Milburn

We develop a Markovian master equation in the Lindblad form that enables the efficient study of a wide range of open quantum many-body systems that would be inaccessible with existing methods. The validity of the master equation is based…

介观与纳米尺度物理 · 物理学 2020-09-08 Frederik Nathan , Mark S. Rudner

Derivation of a quantum master equation for a system weakly coupled to a bath which takes into account nonsecular effects, but nevertheless has the mathematically correct Gorini-Kossakowski-Lindblad-Sudarshan form (in particular, it…

量子物理 · 物理学 2021-07-27 Anton Trushechkin

In quantum theory, the inescapable interaction between a system and its surroundings would lead to a loss of coherence and leakage of information into the environment. An effective approach to retain the quantum characteristics of the…

量子物理 · 物理学 2025-08-29 Guohui Dong , Yao Yao

We analyze the appearance of non-Markovian effects in the dynamics of a bipartite system coupled to a reservoir, which can be described within a class of non-Markovian equations given by a generalized Lindblad structure. A novel master…

量子物理 · 物理学 2008-09-01 Bassano Vacchini

The ubiquitous effects of the environment on quantum-mechanical systems generally cause temporally correlated fluctuations. This particularly holds for systems of interest for quantum computation where such effects lead to correlated…

量子物理 · 物理学 2025-04-23 Balázs Gulácsi , Guido Burkard

It has been recently shown that collisional models can be used to derive a general form for the master equations which describe the reduced time evolution of a composite multipartite quantum system, whose components "propagate" in an…

量子物理 · 物理学 2015-06-04 V. Giovannetti , G. M. Palma

We introduce a systematic framework to derive the effective Hamiltonian governing the coherent dynamics of non-Markovian open quantum systems. By applying the minimal dissipation principle, we uniquely isolate the coherent contribution to…

量子物理 · 物理学 2025-06-05 Alessandra Colla , Heinz-Peter Breuer , Giulio Gasbarri

We derive the stochastic master equations which describe the evolution of open quantum systems in contact with a heat bath and undergoing indirect measurements. These equations are obtained as a limit of a quantum repeated measurement model…

数学物理 · 物理学 2010-04-21 S Attal , C Pellegrini

We study the equivalence between the recently proposed finite environment quantum jump model and a master equation approach. We derive microscopically the master equation for a qubit coupled to a finite bosonic environment and show that the…

量子物理 · 物理学 2016-12-09 Samu Suomela , Rui Sampaio , Tapio Ala-Nissila

By modeling the interaction of an open quantum system with its environment through a natural generalization of the classical concept of continuous time random walk, we derive and characterize a class of non-Markovian master equations whose…

量子物理 · 物理学 2018-01-31 Adrián A. Budini

"Quantum mechanics must be regarded as open systems. On one hand, this is due to the fact that, like in classical physics, any realistic system is subjected to a coupling to an uncontrollable environment which influences it in a…

量子物理 · 物理学 2007-05-23 S. Nicolosi

Based on the standard transfer matrix, a formally exact quantization condition for arbitrary potentials, which outflanks and unifies the historical approaches, is derived. It can be used to find the exact bound-state energy eigenvalues of…

量子物理 · 物理学 2009-11-13 Yong-Cheng Ou , Zhuang-Qi Cao , Qi-Shun Shen

We derive stochastic master equations for a quantum system interacting with a Bose field prepared in a superposition of continuous-mode coherent states. To determine a conditional evolution of the quantum system we use a collision model…

量子物理 · 物理学 2020-02-11 Anita Dabrowska

Quantum Markov models are employed ubiquitously in quantum physics and in quantum information theory due to their relative simplicity and analytical tractability. In particular, these models are known to give accurate approximations for a…

量子物理 · 物理学 2024-02-02 Hendra I. Nurdin

A novel quantum dynamical method to simulate vibronic reaction dynamics in molecules at metal surfaces is proposed. The method is based on the hierarchical quantum master equation approach and uses a discrete variable representation of the…

化学物理 · 物理学 2019-12-05 A. Erpenbeck , M. Thoss

Realistic models of quantum systems must include dissipative interactions with an environment. For weakly-damped systems the Lindblad-form Markovian master equation is invaluable for this task due to its tractability and efficiency. This…

量子物理 · 物理学 2020-09-01 Gavin McCauley , Benjamin Cruikshank , Denys I. Bondar , Kurt Jacobs

Thermodynamics entails a set of mathematical conditions on quantum Markovian dynamics. In particular, strict energy conservation between the system and environment implies that the dissipative dynamical map commutes with the unitary system…

量子物理 · 物理学 2021-04-07 Roie Dann , Ronnie Kosloff

Recently, an effective Lindblad master equation for quantum systems whose dynamics are coupled to dissipative bosonic modes has been introduced [Phys. Rev. Lett. 129, 063601 (2022)]. In this approach, the bosonic modes are adiabatically…

量子物理 · 物理学 2023-07-18 Simon B. Jäger , Ralf Betzholz

We give a detailed theoretical derivation of the quantum master equation for the coherent Ising machine. This is a quantum computational network with feedback, that solves NP hard combinatoric problems, including the traveling salesman…

量子物理 · 物理学 2022-08-17 Simon Kiesewetter , Peter D Drummond