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We generalize the oscillator model of a particle interacting with a thermal reservoir by introducing arbitrary nonlinear couplings in the particle coordinates.The equilibrium positions of the heat bath oscillators are promoted to space-time…

高能物理 - 理论 · 物理学 2009-10-28 F. Illuminati , M. Patriarca , P. Sodano

Using a dissipative quantum Rabi model, we study the dynamics of a slow qubit coupled to a fast quantum harmonic oscillator interacting with a bosonic bath from weak to strong and ultra-strong coupling regimes. Solving the quantum…

量子物理 · 物理学 2025-09-08 G. Di Bello , L. M. Cangemi , V. Cataudella , G. De Filippis , A. Nocera , C. A. Perroni

We introduce a new approach to deriving approximate analytical solutions of a harmonic oscillator damped by purely nonlinear, or combinations of linear and nonlinear damping forces. Our approach is based on choosing a suitable trial…

经典物理 · 物理学 2025-12-30 Karlo Lelas , Robert Pezer

It is a fundamental problem to characterize the nonequilibrium processes. For a slowly moving one-dimensional potential, we explore the quasi adiabatic dynamics of the initial energy eigenstates for a confined quantum system interacting…

统计力学 · 物理学 2017-10-11 Takaaki Monnai

We study the flow of energy between a harmonic oscillator (HO) and an external environment consisting of N two-degrees of freedom non-linear oscillators, ranging from integrable to chaotic according to a control parameter. The coupling…

经典物理 · 物理学 2011-06-14 Marcelo A. Marchiori , Marcus A. M. de Aguiar

A quantum two-level system immersed in a sub-Ohmic bath experiences enhanced low-frequency quantum statistical fluctuations which render the nonequilibrium quantum dynamics highly non-Markovian. Upon using the numerically exact…

统计力学 · 物理学 2022-09-20 Florian Otterpohl , Peter Nalbach , Michael Thorwart

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…

量子物理 · 物理学 2019-07-24 L. M. Cangemi , V. Cataudella , M. Sassetti , G. De Filippis

Deterministic and stochastic coupled oscillators with inertia are studied on the rectangular lattice under the shear-velocity boundary condition. Our coupled oscillator model exhibits various nontrivial phenomena and there are various…

统计力学 · 物理学 2024-09-05 Hidetsugu Sakaguchi

The entanglement dynamics in a bipartite system consisting of a qubit and a harmonic oscillator interacting only through their coupling with the same bath is studied. The considered model assumes that the qubit is coupled to the bath via…

量子物理 · 物理学 2020-05-11 Revanth Badveli , Vinayak Jagadish , S. Akshaya , R. Srikanth , Francesco Petruccione

This work addresses the problem of relaxation of open systems to quasi-equilibrium states. Time-dependent density matrix of two arbitrary coupled quantum oscillators of arbitrary properties interacting with separate reservoirs is derived…

量子物理 · 物理学 2016-01-27 Illarion Dorofeyev

We study the dynamics of a symmetric two-level system strongly coupled to a broadened harmonic mode. Upon mapping the problem onto a spin-boson model with peaked spectral density, we show how analytic solutions can be obtained, at arbitrary…

统计力学 · 物理学 2009-11-13 F. Nesi , M. Grifoni , E. Paladino

In this contribution it is considered a simple and solvable model consisting of a qubit in interaction with an oscillator exposed to a very small "environment" (a second qubit). An isolated qubit-oscillator system having the oscillator…

量子物理 · 物理学 2018-07-31 A. Vidiella-Barranco

We study the dynamics of systems consisting of two spatially segregated ODE compartments coupled through a one-dimensional bulk diffusion field. For this coupled PDE-ODE system, we first employ a multi-scale asymptotic expansion to derive…

混沌动力学 · 物理学 2020-08-11 Frédéric Paquin-Lefebvre , Wayne Nagata , Michael J. Ward

We analyse the dynamics of quantum correlations between two qubits coupled to a linear chain of oscillators. The chain mediates interactions between the qubits and acts as a non-Markovian reservoir. The the model is amenable to an…

量子物理 · 物理学 2023-11-21 Sayan Roy , Christian Otto , Raphaël Menu , Giovanna Morigi

Transfer and decay dynamics of an exciton coupled to a polarization vibration in a dimer is investigated in a mixed quantum-classical picture with the exciton decay incorporated by a sink site. Using a separation of time scales, it is…

凝聚态物理 · 物理学 2009-10-28 Holger Schanz , Ivan Barvik , Bernd Esser

Many-body physics is one very well suited field for testing quantum algorithms and for finding working heuristics on present quantum computers. We have investigated the non-equilibrium dynamics of one- and two-electron systems, which are…

量子物理 · 物理学 2022-07-06 Sabine Tornow , Wolfgang Gehrke , Udo Helmbrecht

The paper deals with the problem of open systems out of equilibrium. An analytical expression for time-dependent density matrix of two arbitrary coupled identical quantum oscillators interacting with separate reservoirs is derived using…

量子物理 · 物理学 2014-12-16 Illarion Dorofeyev

For many open quantum systems, a master equation approach employing the Markov approximation cannot reliably describe the dynamical behaviour. This is the case, for example, in a number of solid state or biological systems, and it has…

量子物理 · 物理学 2015-06-16 V. Venkataraman , A. D. K. Plato , Tommaso Tufarelli , M. S. Kim

We establish for the first time an exact stochastic dynamical equation for an open quantum systems coupled to correlated noises. We rigorously investigate the nonequilibrium dynamics of a qubit system under the influence of two strongly…

量子物理 · 物理学 2015-02-16 Jun Jing , Rui Li , J. Q. You , Ting Yu

Motivated by recent experiments, we study the dynamics of a qubit quadratically coupled to its detector, a damped harmonic oscillator. We use a complex-environment approach, explicitly describing the dynamics of the qubit and the oscillator…

介观与纳米尺度物理 · 物理学 2007-09-17 I. Serban , E. Solano , F. K. Wilhelm