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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…

强关联电子 · 物理学 2013-02-04 Peter P. Orth , Adilet Imambekov , Karyn Le Hur

The dynamics of two spins coupled to bosonic baths at different temperatures is studied. The analytical solution for the reduced density matrix of the system in the Markovian and Post-Markovian case with exponential memory kernel is found.…

量子物理 · 物理学 2009-05-06 Ilya Sinayskiy , Francesco Petruccione

A finite-dimensional quantum system is coupled to a bath of oscillators in thermal equilibrium at temperature $T>0$. We show that for fixed, small values of the coupling constant $\lambda$, the true reduced dynamics of the system is…

量子物理 · 物理学 2022-01-05 Marco Merkli

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…

介观与纳米尺度物理 · 物理学 2007-05-23 Daniel Loss , David P. DiVincenzo

We present a combination of analytic calculations and a powerful numerical method for large spin baths in the low-field limit. The hyperfine interaction between the central spin and the bath is fully captured by the density matrix…

介观与纳米尺度物理 · 物理学 2013-10-10 Daniel Stanek , Carsten Raas , Götz S. Uhrig

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…

量子物理 · 物理学 2012-08-09 Xiang Hao , Xuefen Xu , Xiaoqun Wang

The quantum dynamics of a spin chain interacting with multiple bosonic baths is described in a mixed Wigner-Heisenberg representation. The formalism is illustrated by simulating the time evolution of the reduced density matrix of two…

量子物理 · 物理学 2010-02-07 Alessandro Sergi , Ilya Sinayskiy , Francesco Petruccione

We consider the problem of a central spin with arbitrary spin s that interacts pairwise and uniformly with a bath of N spins with s=1/2. We present two approaches for determining the exact spectrum of this model, one based on properties of…

量子物理 · 物理学 2018-11-14 Rafael I. Nepomechie , Xi-Wen Guan

We present a perturbative treatment of the subohmic spin-boson model which remedies a crucial flaw in previous treatments. The problem is traced back to the incorrect application of a Markov type approximation to specific terms in the…

介观与纳米尺度物理 · 物理学 2014-12-10 Kyung-Joo Noh , Uwe R. Fischer

We study the spin- and energy dynamics in one-dimensional spin-1/2 systems induced by local quantum quenches at finite temperatures using a time-dependent density matrix renormalization group method. System sizes are chosen large enough to…

强关联电子 · 物理学 2015-06-18 C. Karrasch , J. E. Moore , F. Heidrich-Meisner

The dynamics of atom lasers with a continuous output coupler based on two-photon Raman transitions is investigated. With the help of the time-convolutionless projection operator technique the quantum master equations for pulsed and…

量子物理 · 物理学 2009-10-31 H. P. Breuer , D. Faller , B. Kappler , F. Petruccione

We analyze the dynamics of a spin 1/2 subsystem coupled to a spin chain. We simulate numerically the full quantum many-body system for various sets of parameters and initial states of the chain, and characterize the divisibility of the…

量子物理 · 物理学 2020-04-22 J. Roos , J. I. Cirac , M. C. Bañuls

We use the "generalized hierarchical equation of motion" proposed in Paper I to study decoherence in a system coupled to a spin bath. The present methodology allows a systematic incorporation of higher order anharmonic effects of the bath…

化学物理 · 物理学 2018-01-17 Chang-Yu Hsieh , Jianshu Cao

We study the time evolution of the reduced density matrix of a system of spin-1/2 particles interacting with an environment of spin-1/2 particles. The initial state of the composite system is taken to be a product state of a pure state of…

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…

介观与纳米尺度物理 · 物理学 2012-10-09 Edwin Barnes , Łukasz Cywiński , S. Das Sarma

We investigate memory effects in the spin-boson model using a recently proposed measure for non-Markovian behavior based on the information exchange between an open system and its environment. Employing the numerical exact multilayer…

量子物理 · 物理学 2021-07-28 Sebastian Wenderoth , Heinz-Peter Breuer , Michael Thoss

We analyze a model of a nonlinear bath consisting of a single two-level system coupled to a linear bath (a classical noise force in the limit considered here). This allows us to study the effects of a nonlinear, non-Markoffian bath in a…

介观与纳米尺度物理 · 物理学 2009-11-07 Hanno Gassmann , Florian Marquardt , C. Bruder

By means of the inverse techniques we analyse the evolution of purely spin-1/2 systems in homogeneous magnetic fields as well as the generation of exact solutions. Some ``evolution loops'', dynamical processes for which any state evolves…

量子物理 · 物理学 2008-10-13 David J. Fernandez C. , Oscar Rosas-Ortiz

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…

量子物理 · 物理学 2009-11-13 Denis Lacroix

We derive from first principles the experimentally observed effective dynamics of a spinor Bose gas initially prepared as a Bose-Einstein condensate and then left free to expand ballistically. In spinor condensates, which represent one of…

数学物理 · 物理学 2018-09-26 Alessandro Michelangeli , Alessandro Olgiati