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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

We consider a spin-$j$ particle coupled to a structured bath of bosonic modes that decay into thermal baths. We obtain an analytic expression for the reduced spin state and use it to investigate non-Markovian spin dynamics. In the heavily…

Quantum Physics · Physics 2022-04-06 Mattias T. Johnsson , Ben Q. Baragiola , Thomas Volz , Gavin K. Brennen

We review our recent results on short time approximations, with emphasis on applications for which the system-environment interactions involve a general non-Hermitian system operator and its conjugate. We evaluate the onset of decoherence…

Mesoscale and Nanoscale Physics · Physics 2010-09-22 Vladimir Privman , Denis Tolkunov

We investigate the non-Markovian dynamics of a qubit-oscillator system embedded in a noisy environment by employing the hierarchical equations of motion approach. It is found that the decoherence rate of the whole qubit-oscillator-bath…

Quantum Physics · Physics 2017-12-29 Wei Wu , Jun-Qing Cheng

Quantum mechanics describes the unitary time evolution of closed systems. In practice, every quantum system interacts with the environment leading to an irreversible loss of coherence. The Spin-Boson model (SBM) is central to the…

Chemical Physics · Physics 2020-09-28 Nirmalendu Acharyya , Martin Richter , Benjamin P. Fingerhut

We derive and analyze the Born-Markov master equation for a quantum harmonic oscillator interacting with a bath of independent two-level systems. This hitherto virtually unexplored model plays a fundamental role as one of the four…

Quantum Physics · Physics 2008-02-20 Maximilian Schlosshauer , Andrew P. Hines , Gerard J. Milburn

We consider a model of non-Markovian Quantum Brownian motion that consists of an harmonic oscillator bilinearly coupled to a thermal bath, both via its position and momentum operators. We derive the master equation for such a model and we…

Quantum Physics · Physics 2017-08-02 Luca Ferialdi , Andrea Smirne

We study the spin-boson model with a sub-Ohmic bath using a variational method. The transition from coherent dynamics to incoherent tunneling is found to be abrupt as a function of the coupling strength $\alpha$ and to exist for any power…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Alex Chin , Misha Turlakov

In this paper, we investigate the decoherence of qubit due to its coupling to a Hermitian or a non-Hermitian bath within the pure dephasing spin-boson model. First, using this model, we analytically establish the previously anticipated…

Quantum Physics · Physics 2025-12-18 Yue-Hong Wu , Ning-Hua Tong

Many physical and chemical processes in the condensed phase environment exhibit non-Markovian quantum dynamics. As such simulations are challenging on classical computers, we developed a variational quantum algorithm that is capable of…

Quantum Physics · Physics 2024-03-11 Peter L. Walters , Joachim Tsakanikas , Fei Wang

We study quantum quenches between integrable and nonintegrable hard-core boson models in the thermodynamic limit with numerical linked cluster expansions. We show that while quenches in which the initial state is a thermal equilibrium state…

Statistical Mechanics · Physics 2016-03-11 Marcos Rigol

We develop an approach based on stochastic quantum trajectories for an incoherently pumped system of interacting bosons relaxing their energy in a thermal reservoir. Our approach enables the study of the versatile coherence properties of…

Quantum Gases · Physics 2015-09-17 H. Flayac , I. G. Savenko , M. Möttönen , T. Ala-Nissila

A new analytical approach, beyond rotating wave approximation, based on unitary transformations and the non-Markovian master equation for the density operator, is applied to treat the biased spin boson model with a Lorentzian structured…

Mesoscale and Nanoscale Physics · Physics 2010-03-10 Congjun Gan , Peihao Huang , Hang Zheng

We focus on the non-equilibrium two-bath spin-boson model, a toy model for examining quantum thermal transport in many-body open systems. Describing the dynamics within the NIBA equations, applicable, e.g., in the strong system-bath…

Statistical Mechanics · Physics 2015-05-30 Lena Nicolin , Dvira Segal

Spin measurement is studied as a unitary time evolution of the spin coupled to an environment representing the meter and the apparatus. Modelling the environment as a heat bath comprising only a finite number of boson modes and represented…

Quantum Physics · Physics 2022-10-19 Thomas Dittrich , Óscar Rodrí guez , Carlos Viviescas

An integrable nonlinear model for the time-dependent equilibration of a bosonic system that has been devised earlier is solved exactly with boundary conditions that are appropriate for a truncated Bose-Einstein distribution, and include the…

Statistical Mechanics · Physics 2020-02-05 N. Rasch , G. Wolschin

The spin-boson model, involving spins interacting with a bath of quantum harmonic oscillators, is a widely used representation of open quantum systems. Trapped ions present a natural platform for simulating the quantum dynamics of such…

We solve the long-standing central spin problem for a general set of inhomogeneous bath couplings and a large class of initial bath states. We compute the time evolution of the coherence of a central spin coupled to a spin bath by resumming…

Mesoscale and Nanoscale Physics · Physics 2012-10-09 Edwin Barnes , Łukasz Cywiński , S. Das Sarma

We present numerically exact inchworm quantum Monte Carlo results for the real-time dynamics of the spin polarization in the sub-Ohmic spin-boson model at finite temperature. We focus in particular on the localization and coherence behavior…

Strongly Correlated Electrons · Physics 2026-03-31 Olga Goulko , Hsing-Ta Chen , Moshe Goldstein , Guy Cohen

In recent years, there has been tremendous focus on identifying whether effective descriptions of open quantum systems such as master equations, can accurately describe the dynamics of open quantum systems. One particular question is…

Quantum Physics · Physics 2025-01-23 Gerardo Suárez , Marcin Łobejko , Michał Horodecki