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We investigate the collective behavior of a system of chaotic Rossler oscillators indirectly coupled through a common environment that possesses its own dynamics and which in turn is modulated by the interaction with the oscillators. By…

Chaotic Dynamics · Physics 2015-06-19 C. Quintero-Quiroz , M. G. Cosenza

The spin-boson model usually considers a spin coupled to a single bosonic bath. However, some physical situations require coupling of the spin to multiple environments. For example, spins interacting with phonons in three-dimensional…

If a quantum system interacts with the environment, then the Hamiltonian acquires a correction known as the Lamb-shift term. There are two other corrections to the Hamiltonian, related to the stationary state. Namely, the stationary state…

Quantum Physics · Physics 2025-01-28 Marcin Łobejko , Marek Winczewski , Gerardo Suárez , Robert Alicki , Michał Horodecki

We revisit the model of a quantum Brownian oscillator linearly coupled to an environment of quantum oscillators at finite temperature. By introducing a compact and particularly well-suited formulation, we give a rather quick and direct…

Quantum Physics · Physics 2011-05-17 C. H. Fleming , Albert Roura , B. L. Hu

Within the lowest-order Born approximation, we present an exact calculation of the time dynamics of the spin-boson model in the ohmic regime. We observe non-Markovian effects at zero temperature that scale with the system-bath coupling…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 D. P. DiVincenzo , D. Loss

We analyze decoherence and objectivization processes in spin-spin models for arbitrary spins. We first derive the most general analytic form of the decoherence factor in the measurement limit, where the interaction Hamiltonian dominates the…

Quantum Physics · Physics 2021-11-03 Mateusz Kiciński , Jarosław K. Korbicz

Many-body approaches to open quantum systems have recently become powerful tools for investigating the detailed role of dissipative environments in diverse non-equilibrium molecular and condensed matter processes. Here, we report the…

Mesoscale and Nanoscale Physics · Physics 2016-02-15 Florian A. Y. N. Schröder , Alex W. Chin

We present a bipartite two-level system coupled to electromagnetic quantum vacuum fluctuations through a general dipolar coupling. We derive the master equation in the framework of open quantum systems, assuming an environment composed of…

Quantum Physics · Physics 2020-04-01 Ludmila Viotti , Fernando C. Lombardo , Paula I. Villar

We compute the geometric phase for a spin-1/2 particle under the presence of a composite environment, composed of an external bath (modeled by an infinite set of harmonic oscillators) and another spin-1/2 particle. We consider both cases:…

Quantum Physics · Physics 2015-05-28 Paula I. Villar , Fernando C. Lombardo

We perform a non-perturbative analysis of the dynamics of a two-level quantum system subjected to repeated interactions with a bosonic environment when these interactions are intense and localized in time. We use the Weyl relations to…

Quantum Physics · Physics 2020-02-07 José de Ramón , Eduardo Martin-Martinez

Quantum entanglement effects between the electronic spin and charge degrees of freedom are examined in an organic molecular solid, termed a dimer-Mott insulating system, in which molecular dimers are arranged in a crystal as fundamental…

Strongly Correlated Electrons · Physics 2016-05-18 Makoto Naka , Sumio Ishihara

In this paper, we study the dynamical properties of two coupled quantum harmonic oscillators coupled with bosonic non-Markovian environment both in position and momentum. We deduce the exact analytical master equation using Quantum State…

Quantum Physics · Physics 2018-11-06 Hao Jia , Xiaotong Ding

All interesting and fascinating collective properties of a complex system arise from the intricate way in which its components interact. Various systems in physics, biology, social sciences and engineering have been successfully modelled as…

Adaptation and Self-Organizing Systems · Physics 2021-04-23 L. V. Gambuzza , F. Di Patti , L. Gallo , S. Lepri , M. Romance , R. Criado , M. Frasca , V. Latora , S. Boccaletti

We apply a full-polaron master equation and a weak-coupling non-Markovian master equation to describe the steady-state time-averaged properties of a driven two-level system, an electron coherently tunneling between double quantum dots…

Quantum Physics · Physics 2020-07-21 Chien-Chang Chen , Thomas M. Stace , Hsi-Sheng Goan

A system of two coupled oscillators, each of them coupled to an independent reservoir, is analysed. The analytical solution of the non-rotating wave master equation is obtained in the high-temperature and weak coupling limits. No thermal…

Quantum Physics · Physics 2014-02-07 A. Ghesquière , I. Sinayskiy , F. Petruccione

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

A system of bosons in a two-dimensional harmonic trap in the presence of Rashba-type spin-orbit coupling is investigated. An analytic treatment of the ground state of a single atom in the weak-coupling regime is presented and used as a…

Quantum Gases · Physics 2020-04-29 Pere Mujal , Artur Polls , Bruno Juliá-Díaz

A regular approach to accounting for initial correlations, which allows to go beyond the unrealistic random phase (initial product state) approximation in deriving the evolution equations, is suggested. An exact homogeneous equation for a…

Statistical Mechanics · Physics 2017-02-28 Victor Los

The master equation plays an important role in many scientific fields including physics, chemistry, systems biology, physical finance, and sociodynamics. We consider the master equation with periodic transition rates. This may represent an…

Quantitative Methods · Quantitative Biology 2017-10-23 Michael Margaliot , Lars Grüne , Thomas Kriecherbauer

The exact dynamics of a system coupled to an environment can be described by an integro-differential stochastic equation of its reduced density. The influence of the environment is incorporated through a mean-field which is both stochastic…

Quantum Physics · Physics 2009-11-13 Denis Lacroix
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