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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…

Quantum Physics · Physics 2025-10-16 Hiromichi Nakazato , Saverio Pascazio

The counter rotating-wave term (CRT) effects from the system-bath coherence on the dynamics of quantum correlation of two qubits in two independent baths and a common bath are systematically investigated. The hierarchy approach is extended…

Quantum Physics · Physics 2013-10-21 Chen Wang , Qing-Hu Chen

Energy transfer through quantum coherences plays an essential role in diverse natural phenomena and technological applications, such as human vision, light-harvesting complexes, quantum heat engines, and quantum information and computing.…

Chemical Physics · Physics 2019-12-23 J. Ma , H. Zhang , B. Lavorel , F. Billard , E. Hertz , J. Wu , C. Boulet , J. -M. Hartmann , O. Faucher

Motivated by recent realizations of microwave-driven nonlinear resonators in superconducting circuits, the impact of environmental degrees of freedom is analyzed as seen from a rotating frame. A system plus reservoir model is applied to…

Other Condensed Matter · Physics 2010-09-14 Alvise Verso , Joachim Ankerhold

In this article we investigate from the point of view of spectral theory the problem of relaxation to thermodynamical equilibrium of a quantum harmonic oscillator interacting with a radiation field. Our starting point is a system of…

Mathematical Physics · Physics 2025-01-07 Pierre-A. Vuillermot

A general theoretical approach to study the quantum kinetics in a system coupled to a bath is proposed. Starting with the microscopic interaction, a Lindblad master equation is established, which goes beyond the common secular…

Mesoscale and Nanoscale Physics · Physics 2018-01-31 Gediminas Kiršanskas , Martin Franckié , Andreas Wacker

A complete treatment of the entanglement of two-level systems, which evolves through the contact with a thermal bath, must include the fact that the system and the bath are not fully separable. Therefore, quantum coherent superpositions of…

Quantum Physics · Physics 2015-05-18 Arend G. Dijkstra , Yoshitaka Tanimura

We analyse the thermodynamics of a quantum system in a trajectory of constant velocity that interacts with a static thermal bath. The latter is modeled by a massless scalar field in a thermal state. We consider two different couplings of…

Quantum Physics · Physics 2020-10-14 Nikolaos Papadatos , Charis Anastopoulos

The concept of non-Markovianity in open quantum systems is traditionally associated with the existence of information backflows from the environment to the system. Meanwhile, the mechanisms through which such backflows emerge are still a…

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 provide a theoretical model for the non-equilibrium steady state heat flow through a quantum heat valve. The model is based on a master equation approach, where the partial secular approximation has been carefully performed in order to…

Quantum Physics · Physics 2026-02-24 Antti Vaaranta , Marco Cattaneo , Paolo Muratore-Ginanneschi , Jukka Pekola

We present a detailed thermodynamic analysis of a three-level quantum heat engine coupled continuously to hot and cold reservoirs. The system is driven by an oscillating external field and is described by the Markovian quantum master…

Quantum Physics · Physics 2021-10-07 Pablo Bayona-Pena , Kazutaka Takahashi

Evolution of occupation number is studied for a bosonic oscillator (with one and two degrees of freedom) linearly fully coupled to fermionic and bosonic heat baths. The lack of equilibrium in this oscillator is discussed in the light of the…

Quantum Physics · Physics 2024-10-23 V. V. Sargsyan , A. A. Hovhannisyan , G. G. Adamian , N. V. Antonenko

Rotating black holes can form dense boson clouds through superradiant instability, making Kerr black holes a powerful probe of ultralight massive bosons. Previous studies of black hole superradiance have often treated bosonic fields…

General Relativity and Quantum Cosmology · Physics 2025-12-09 Lingyun Fu , Hidetoshi Omiya , Takahiro Tanaka , Xi Tong , Yi Wang , Hui-Yu Zhu

We investigate the effects of a low frequency (acoustic) phonon bath on the dynamics of a quantum dot modelled as a cascade three-level system. We show that the phonon bath appears to the upper transition of the cascade system as a…

Quantum Physics · Physics 2014-08-27 Hui Huang , Gao-xiang Li , Wen-ju Gu , Zbigniew Ficek

We present a detailed study of the dynamics of correlations in non-Markovian environments, applying the hierarchy equations approach. This theoretical treatment is able to take the system-bath interaction into consideration carefully. It is…

Quantum Physics · Physics 2015-05-20 Chuan-Feng Li , Hao-Tian Wang , Hong-Yuan Yuan , Rong-Chun Ge , Guang-Can Guo

In a draining rotating fluid flow background, surface perturbations behave as a scalar field on a rotating effective black hole spacetime. We propose a new model for the background flow which takes into account the varying depth of the…

General Relativity and Quantum Cosmology · Physics 2015-06-08 Mauricio Richartz , Angus Prain , Stefano Liberati , Silke Weinfurtner

We study the dynamics of an open quantum system interacting with a non-thermal bath. Here, "non-thermal" means that the bath modes do not need to have the same temperature, but they have an effective temperature distribution. We find that,…

Quantum Physics · Physics 2016-04-12 Sheng-Wen Li , Moochan B. Kim , Marlan O. Scully

The finite coupled bosonic model of reservoir introduced by Vasile et al. [1] to characterize non-Markovianity, is used to study the different dissipative behaviors of a harmonic oscillator coupled to it when it is in resonance, close to…

Quantum Physics · Physics 2018-04-06 Fernando Galve , Roberta Zambrini

A mean field argument is used to derive a master equation for systems simultaneously interacting with external fields and coupled environmental degrees of freedom. We prove that this master equation preserves positivity of the reduced…

Quantum Physics · Physics 2007-05-23 Joshua Wilkie , Murat Cetinbas