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The dynamics of a central spin-1/2 in presence of a local magnetic field and a bath of N spin-1/2 particles is studied in the thermodynamic limit. The interaction between the spins is Heisenberg XY type and the bath is considered to be a…

Quantum Physics · Physics 2008-11-26 J. Rodríguez Garzón , R. M. Gutiérrez

We present a succinct and intuitive derivation of a formally exact master equation for general open quantum systems, without the use of an "inverse" map which was invoked in previous works on formally exact master equations. This formalism…

Quantum Physics · Physics 2020-04-29 Li Yu , Eric J. Heller

We study the steady state of two coupled two-level atoms interacting with a non-equilibrium environment that consists of two heat baths at different temperatures. Specifically, we analyze four cases with respect to the configuration about…

Quantum Physics · Physics 2017-11-29 Yong Huangfu , Jun Jing

We present a combination of analytic calculations and a powerful numerical method for large spin baths in the low-field limit. The hyperfine interaction between the central spin and the bath is fully captured by the density matrix…

Mesoscale and Nanoscale Physics · Physics 2013-10-10 Daniel Stanek , Carsten Raas , Götz S. Uhrig

Classical simulation of quantum systems plays an important role in the study of many-body phenomena and in the benchmarking and verification of quantum technologies. Exact simulation is often limited to small systems because the dimension…

Quantum Physics · Physics 2024-06-04 Dominik S. Wild , Sabina Drăgoi , Corbin McElhanney , Jonathan Wurtz , Sheng-Tao Wang

We address the problem of obtaining the exact reduced dynamics of the spin-half (qubit) immersed within the bosonic bath (enviroment). An exact solution of the Schrodinger equation with the paradigmatic spin-boson Hamiltonian is obtained.…

Quantum Physics · Physics 2011-04-14 Bartlomiej Gardas

We study two continuous variable systems (or two harmonic oscillators) and investigate their entanglement evolution under the influence of non-Markovian thermal environments. The continuous variable systems could be two modes of…

Quantum Physics · Physics 2009-11-13 Kuan-Liang Liu , Hsi-Sheng Goan

We apply advanced methods of control theory to open quantum systems and we determine finite-time processes which are optimal with respect to thermodynamic performances. General properties and necessary conditions characterizing optimal…

Quantum Physics · Physics 2018-08-01 Vasco Cavina , Andrea Mari , Alberto Carlini , Vittorio Giovannetti

We use the "generalized hierarchical equation of motion" proposed in Paper I to study decoherence in a system coupled to a spin bath. The present methodology allows a systematic incorporation of higher order anharmonic effects of the bath…

Chemical Physics · Physics 2018-01-17 Chang-Yu Hsieh , Jianshu Cao

We study the dynamics of entanglement in a two-qubit system interacting with a squeezed thermal bath via a dissipative system-reservoir interaction with the system and reservoir assumed to be in a separable initial state. The resulting…

Quantum Physics · Physics 2010-04-22 Subhashish Banerjee , V. Ravishankar , R. Srikanth

The spin-boson model, describing a two-level system strongly coupled to a bosonic bath, is extensively studied as a paradigmatic dissipative quantum system, exhibiting rich dynamical behavior and even a localization transition in the strong…

Quantum Physics · Physics 2024-08-20 Naushad Ahmad Kamar , Daniel A. Paz , Mohammad F. Maghrebi

By employing the spin-boson model in a dense limit of environmental modes, quantum entanglement and correlation of sub-Ohmic and Ohmic baths for dissipative quantum phase transitions are numerically investigated based on the variational…

Quantum Physics · Physics 2022-02-08 Xiaohui Qian , Zhe Sun , Nengji Zhou

Simulating the irreversible quantum dynamics of exciton and electron transfer problems poses a nontrivial challenge. Because the irreversibility of the system dynamics is a result of quantum thermal activation and dissipation caused by the…

Chemical Physics · Physics 2021-03-30 Seiji Ueno , Yoshitaka Tanimura

We introduce a new theoretical approach to dissipative quantum systems. By means of a continuous sequence of infinitesimal unitary transformations, we decouple the small quantum system that one is interested in from its thermodynamically…

Condensed Matter · Physics 2016-08-31 Stefan K. Kehrein , Andreas Mielke

Quantum master equations form an important tool in the description of transport problems in open quantum systems. However, they suffer from the difficulty that the shape of the Lindblad dissipator depends sensibly on the system Hamiltonian.…

Statistical Mechanics · Physics 2017-02-01 Jader P. Santos , Gabriel T. Landi

A phenomenological model is constructed, that captures the effects of coupling magnetic and elastic degrees of freedom, in the presence of external, stochastic perturbations, in terms of the interaction of magnetic moments with a bath,…

Mesoscale and Nanoscale Physics · Physics 2019-02-15 Thomas Nussle , Pascal Thibaudeau , Stam Nicolis

We propose a quasi-particle description for the hierarchical equations of motion formalism for quantum dissipative dynamics systems. Not only it provides an alternative mathematical means to the existing formalism, the new protocol…

Statistical Mechanics · Physics 2013-05-14 Hou-Dao Zhang , Jian Xu , Rui-Xue Xu , Xiao Zheng , YiJing Yan

The rapid development of quantum computers has enabled demonstrations of quantum advantages on various tasks. However, real quantum systems are always dissipative due to their inevitable interaction with the environment, and the resulting…

Quantum dynamics of many-body systems is a fascinating and significant subject for both theory and experiment. The question of how an isolated many-body system evolves to its steady state after a sudden perturbation or quench still remains…

Strongly Correlated Electrons · Physics 2022-08-30 Wen-Bin He , Stefano Chesi , H. -Q. Lin , Xi-Wen Guan

In this letter, we introduce a novel method for investigating dissipation (gain) and thermalization in an open quantum system. In this method, the quantum system is coupled linearly with a copy of itself or with another system described by…

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