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We study the properties of a refined weak coupling limit that preserves complete positivity in order to describe non-Markovian dynamics in the spin-boson model. With this tool, we show the system presents a rich and new non-Markovian…

Quantum Physics · Physics 2017-04-10 Ángel Rivas

We present an application of the Extended Stochastic Liouville-von Neumann equations (ESLN) method introduced earlier [PRB 95, 125124 (2017); PRB 97, 224310 (2018)] which describes the dynamics of an exactly thermalised open quantum system…

Quantum Physics · Physics 2020-07-01 M. A. Lane , D. Matos , I. J. Ford , L. Kantorovich

We derive and solve analytically the non-Markovian master equation for harmonic quantum Brownian motion proving that, for weak system-reservoir couplings and high temperatures, it can be recast in the form of the master equation for a…

Quantum Physics · Physics 2015-05-13 Sabrina Maniscalco , Jyrki Piilo , Kalle-Antti Suominen

We investigate the dynamics of a two-qubit open quantum system, in particular the two-qubit spin-boson model in the strong coupling regime, coupled to two thermal bosonic baths under non-Markovian and non-equilibrium conditions. Two…

Quantum Physics · Physics 2026-01-22 Hasan Mehdi Rizvi , Devvrat Tiwari , Subhashish Banerjee

The spin-boson model describes a qubit coupled to a bosonic bath in thermal equilibrium, and is applicable to a wide range of physical contexts. We show that two weak conditions for the qubit evolution to be Markovian (decreasing system…

Quantum Physics · Physics 2017-07-12 Li Li , Michael J. W. Hall

We outline a non-perturbative approach for simulating the behavior of open quantum systems interacting with a bosonic environment defined by a generalized spectral density function. The method is based on replacing the environment by a set…

Quantum Physics · Physics 2021-08-13 Graeme Pleasance , Francesco Petruccione

In order to model realistic quantum devices it is necessary to simulate quantum systems strongly coupled to their environment. To date, most understanding of open quantum systems is restricted either to weak system-bath couplings, or to…

Quantum Physics · Physics 2018-09-25 Aidan Strathearn , Peter Kirton , Dainius Kilda , Jonathan Keeling , Brendon W. Lovett

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 derive a time-convolutionless master equation for the spin-boson model in the weak coupling limit. The temporarily negative decay rates in the master equation indicate short time memory effects in the dynamics which is explicitly…

Quantum Physics · Physics 2015-05-14 E. -M. Laine

Non-Markovian open quantum systems represent the most general dynamics when the quantum system is coupled with a bath environment. The quantum dynamics arising from many important applications are non-Markovian. Although for special cases,…

Quantum Physics · Physics 2023-03-01 Xiantao Li , Chunhao Wang

We investigate the spin-boson model's dynamical and thermodynamic features in the weak coupling regime using the weak coupling spin-boson (WCSB) and phase covariant (PC) master equations. Both unital (pure dephasing) and non-unital…

Quantum Physics · Physics 2025-12-01 Mahima Yadav , Devvrat Tiwari , Subhashish Banerjee

We study quantum dissipative dynamics of entanglement in the spin-boson model, described by the generalized master equation. We consider the two opposite limits of pure-dephasing and relaxation models, measuring the degree of entanglement…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Jong Soo Lim , Mahn-Soo Choi , M. Y. Choi

We consider the evolution of open quantum systems coupled to one or more Gaussian environments. We demonstrate that such systems can be described by a Markovian quantum master equation (MQME) up to a correction that decreases exponentially…

Quantum Physics · Physics 2026-03-06 Johannes Agerskov , Frederik Nathan

Dissipative processes in non-equilibrium many-body systems are fundamentally different than their equilibrium counterparts. Such processes are of great importance for the understanding of relaxation in single molecule devices. As a detailed…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Dvira Segal , David R. Reichman , Andrew J. Millis

We introduce and apply a numerically exact method for investigating the real-time dissipative dynamics of quantum impurities embedded in a macroscopic environment beyond the weak-coupling limit. We focus on the spin-boson Hamiltonian that…

Strongly Correlated Electrons · Physics 2013-02-04 Peter P. Orth , Adilet Imambekov , Karyn Le Hur

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

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

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

Accurate and efficient simulation of open quantum systems remains a significant challenge, particularly for Non-Markovian dynamics. We demonstrate the profound utility of expressing the environmental correlation function as a sum of damped…

Quantum Physics · Physics 2025-07-22 Gerardo Suárez , Michał Horodecki

Using a recently proposed measure for divisibility of a dynamical map, we study the non-Markovian character of a quantum evolution of a driven spin-$S$ system weakly coupled to a bosonic bath. The complete tomographic knowledge about the…

Quantum Physics · Physics 2012-08-09 Xiang Hao , Xuefen Xu , Xiaoqun Wang
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