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We analytically derive the exact -- though formal -- master equation for a two-level quantum system (qubit) interacting with a bosonic environment within the rotating-wave approximation, assuming the environment is initially in an arbitrary…

量子物理 · 物理学 2025-10-16 Hiromichi Nakazato , Saverio Pascazio

A quantum system interacting with a dilute gas experiences irreversible dynamics. The corresponding master equation can be derived within two different approaches: The fully quantum description in the low-density limit and the semiclassical…

量子物理 · 物理学 2020-01-20 S. N. Filippov , G. N. Semin , A. N. Pechen

In this paper, we derive a microscopic master equation for a pair of XY-coupled two-level systems interacting with the same memoryless reservoir. In particular, we apply this master equation to the case of a pair of two-level atoms in free…

量子物理 · 物理学 2014-03-11 J. P. Santos , F. L. Semião

We present two kinds of Bochkov-Kuzovlev work equalities in a two-level system that is described by a quantum Markovian master equation. One is based on multiple time correlation functions and the other is based on the quantum trajectory…

统计力学 · 物理学 2015-06-18 Fei Liu

We present a general master equation, correct to second order in the system-environment coupling strength, that takes into account the initial system-environment correlations. We assume that the system and its environment are in a joint…

量子物理 · 物理学 2021-10-13 Ali Raza Mirza , Muhammad Zia , Adam Zaman Chaudhry

We apply the quantum jump approach to address the statistics of work in a driven two-level system coupled to a heat bath. We demonstrate how this question can be analyzed by counting photons absorbed and emitted by the environment in…

量子物理 · 物理学 2015-06-16 F. W. J. Hekking , J. P. Pekola

We derive the general form of a master equation describing the interaction of an arbitrary multipartite quantum system, consisting of a set of subsystems, with an environment, consisting of a large number of sub-envirobments. Each subsystem…

量子物理 · 物理学 2015-05-28 Vittorio Giovannetti , G. Massimo Palma

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

Measuring the thermodynamic properties of open quantum systems poses a major challenge. A calorimetric detection has been proposed as a feasible experimental scheme to measure work and fluctuation relations in open quantum systems. However,…

量子物理 · 物理学 2016-06-15 Samu Suomela , Aki Kutvonen , Tapio Ala-Nissila

We study the non-Markovian quantum interference phenomenon of a multi-state atomic system coupled to a bosonic dissipative environment by using the exact master equations derived in this paper. Two examples involving four-level systems with…

量子物理 · 物理学 2019-01-23 Yusui Chen , J. Q. You , Ting Yu

Open quantum systems are a topic of intense theoretical research. The use of master equations to model a system's evolution subject to an interaction with an external environment is one of the most successful theoretical paradigms. General…

In this paper we discuss a master equation applied to the two level system of an atom and derive an exact solution to it in an abstract manner. We also present a problem and a conjecture based on the three level system. Our results may give…

量子物理 · 物理学 2015-05-20 Kazuyuki Fujii

By using projection superoperators, we present a new derivation of the quantum master equation first obtained by the Authors in Phys. Rev. E {\bf 68}, 066112 (2003). We show that this equation describes the dynamics of a subsystem weakly…

统计力学 · 物理学 2010-03-01 Massimiliano Esposito , Pierre Gaspard

A perturbative quantum master equation is derived for a system interacting with its environment, which is more general than the ones derived before. Our master equation takes into account the effect of the energy exchanges between the…

统计力学 · 物理学 2009-11-10 M. Esposito , P. Gaspard

We propose a computationally efficient method to solve the dynamics of operators of bosonic quantum systems coupled to their environments. The method maps the operator under interest to a set of complex-valued functions, and its adjoint…

Open systems of coupled qubits are ubiquitous in quantum physics. Finding a suitable master equation to describe their dynamics is therefore a crucial task that must be addressed with utmost attention. In the recent past, many efforts have…

量子物理 · 物理学 2020-09-16 Marco Cattaneo , Gian Luca Giorgi , Sabrina Maniscalco , Roberta Zambrini

A model master equation suitable for quantum computing dynamics is presented. In an ideal quantum computer (QC), a system of qubits evolves in time unitarily and, by virtue of their entanglement, interfere quantum mechanically to solve…

量子物理 · 物理学 2017-05-31 Frank Tabakin

The quantum master equation is a widespread approach to describing open quantum system dynamics. In this approach, the effect of the environment on the system evolution is entirely captured by the dynamical generator, providing a compact…

量子物理 · 物理学 2018-06-27 Jan Kolodynski , Jonatan Bohr Brask , Marti Perarnau-Llobet , Bogna Bylicka

With microwave irradiation, the switching current of a Josephson junction coupled to a microscopic two-level system jumps randomly between two discrete states. We modeled the switching process of the coupled system with quantum jump…

量子物理 · 物理学 2015-05-13 Xueda Wen , Yiwen Wang , Ning Dong , Guozhu Sun , Jian Chen , Lin Kang , Weiwei Xu , Peiheng Wu , Yang Yu

An exact quantum master equation formalism is constructed for the efficient evaluation of quantum non-Markovian dissipation beyond the weak system-bath interaction regime in the presence of time-dependent external field. A novel truncation…

量子物理 · 物理学 2009-11-10 Rui-Xue Xu , Ping Cui , Xin-Qi Li , Yan Mo , YiJing Yan
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