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The dynamics of simple qubit systems in a chain configuration coupled at both ends to separate bosonic baths at different temperatures is studied. An exact analytical solution of the master equation in the Born-Markov approximation for the…

Quantum Physics · Physics 2014-01-13 I. Sinayskiy , N. Pumulo , F. Petruccione

We study a driven two-state system interacting with a structured environment. We introduce the non-Markovian master equation ruling the system dynamics, and we derive its analytic solution for general reservoir spectra. We compare the…

Quantum Physics · Physics 2015-05-18 Pinja Haikka , Sabrina Maniscalco

In this paper we firstly obtain two kinds of effective spectral density functions by setting the cut-off frequencies of baths be infinite and finite. Secondly, we investigate the reduced dynamics of open qubits in four kinds of systems…

Quantum Physics · Physics 2010-01-13 Xian-Ting Liang

We propose a collision model to investigate the information dynamics of a system coupled to an environment with varying degrees of non-Markovianity. We control the degree of non-Markovianity by applying a depolarising channel to a fixed and…

Quantum Physics · Physics 2026-04-08 Simone Rijavec , Giuseppe Di Pietra

We study the exact solution of the Schr\"odinger equation for the dissipative dynamics of a qubit, achieved by means of Short Iterative Lanczos method (SIL), which allows us to describe the qubit and the bath dynamics from weak to strong…

Quantum Physics · Physics 2019-07-24 L. M. Cangemi , V. Cataudella , M. Sassetti , G. De Filippis

Non-Markovian processes can often be turned Markovian by enlarging the set of variables. Here we show, by an explicit construction, how this can be done for the dynamics of a Brownian particle obeying the generalized Langevin equation.…

Quantum Physics · Physics 2011-01-26 Rocco Martinazzo , Bassano Vacchini , Keith H. Hughes , Irene Burghardt

Starting from a microscopic theory, we derive a master equation for a harmonic oscillator coupled to a bath of non-interacting oscillators. We follow a non-perturbative approach, proposed earlier by us for the free Brownian particle. The…

Quantum Physics · Physics 2013-05-29 Jishad Kumar , S. Sinha , P. A. Sreeram

We study the reduced dynamics of a spin (qubit) coupled to a spin-boson environment in the case of pure dephasing. We derive formal exact expressions which can be cast in terms of exact integro-differential master equations. We present…

Statistical Mechanics · Physics 2009-11-10 E. Paladino , M. Sassetti , G. Falci

A general method is developed which enables the exact treatment of the non-Markovian quantum dynamics of open systems through a Monte Carlo simulation technique. The method is based on a stochastic formulation of the von Neumann equation of…

Quantum Physics · Physics 2007-05-23 Heinz-Peter Breuer

Phonon interactions are inevitable in cavity quantum electrodynamical systems based on solid-state emitters or fluorescent molecules, where vibrations of the lattice or chemical bonds couple to the electronic degrees of freedom. Due to the…

Quantum Physics · Physics 2021-06-16 Matias Bundgaard-Nielsen , Jesper Mørk , Emil Vosmar Denning

The reduced dynamics of a quantum system interacting with a linear heat bath finds an exact representation in terms of a stochastic Schr{\"o}dinger equation. All memory effects of the reservoir are transformed into noise correlations and…

Statistical Mechanics · Physics 2007-05-23 J. Stockburger , H. Grabert

By modeling the interaction of a system with an environment through a renewal approach, we demonstrate that completely positive non-Markovian dynamics may develop some unexplored non-standard statistical properties. The renewal approach is…

Quantum Physics · Physics 2009-08-07 Adrian A. Budini Paolo Grigolini

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 study the dynamics of relaxation and thermalization in an exactly solvable model of a particle interacting with a harmonic oscillator bath. Our goal is to understand the effects of non-Markovian processes on the relaxational dynamics and…

Condensed Matter · Physics 2009-10-31 S. M. Alamoudi , D. Boyanovsky , H. J. de Vega

Nanoscale devices - either biological or artificial - operate in a regime where the usual assumptions of a structureless, Markovian, bath do not hold. Being able to predict and study the dynamics of such systems is crucial and is usually…

Quantum Physics · Physics 2021-11-17 Thibaut Lacroix , Angus Dunnett , Dominic Gribben , Brendon W. Lovett , Alex Chin

We investigate the relationship between non-Markovianity and the effectiveness of a dynamical decoupling protocol for qubits undergoing pure dephasing. We consider an exact model in which dephasing arises due to a bosonic environment with a…

A stochastic approach to the quantum dynamics randomly modulated in time by a discrete state non-Markovian noise, which possesses an arbitrary non-exponential distribution of the residence times, is developed. The formally exact expression…

Statistical Mechanics · Physics 2007-05-23 Igor Goychuk

We have studied the non-Markovianity of dichotomously driven spin-boson model in the strong coupling regime in both memory kernel and time convolutionless master equation formulations. A strong correlation between the decay time of the…

Quantum Physics · Physics 2018-10-31 Arzu Kurt , Resul Eryigit

We measure the detuning-dependent dynamics of a quasi-resonantly excited single quantum dot coupled to a micropillar cavity. The system is modeled with the dissipative Jaynes-Cummings model where all experimental parameters are determined…

Mesoscale and Nanoscale Physics · Physics 2011-06-07 K. H. Madsen , S. Ates , T. Lund-Hansen , A. Löffler , S. Reitzenstein , A. Forchel , P. Lodahl

We study the reduced dynamics of a pair of non-degenerate oscillators coupled collectively to a thermal bath. The model is related to the trilinear boson model where the idler mode is promoted to a field. Due to nonlinear coupling, the…

Quantum Physics · Physics 2013-05-15 B. A. Tay