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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.…

量子物理 · 物理学 2011-01-26 Rocco Martinazzo , Bassano Vacchini , Keith H. Hughes , Irene Burghardt

The question, whether an open system dynamics is Markovian or non-Markovian can be answered by studying the direction of the information flow in the dynamics. In Markovian dynamics, information must always flow from the system to the…

We present several exact solutions to the coupled nonlinear Gross-Pitaevskii equations which describe the motion of the one-dimensional spin-2 Bose-Einstein condensates. The nonlinear density-density interactions are decoupled by making use…

量子气体 · 物理学 2015-06-11 Zhi-Hai Zhang , Yong-Kai Liu , Shi-Jie Yang

We address the real-time dynamics of lattice quantum spin models coupled to single or multiple Markovian dissipative reservoirs using the method of closed hierarchies of correlation functions. This approach allows us to solve a number of…

量子物理 · 物理学 2017-08-09 D. Mesterházy , F. Hebenstreit

We discuss the theory of spin waves in non-degenerate ultra-cold gases, and compare various methods which can be used to obtain appropriate kinetic equations. We then study non-hydrodynamic situations, where the amplitude of spin waves is…

统计力学 · 物理学 2009-11-10 J. N. Fuchs , D. M. Gangardt , F. Laloe

We study the decoherence of a central spin 1/2 induced by a spin bath with intrabath interactions. Since we are interested in the cumulative effect of interaction and disorder, we study baths comprising Ising spins with random ferro- and…

介观与纳米尺度物理 · 物理学 2015-06-25 S. Camalet , R. Chitra

Non-Markovian reduced dynamics of an open system is investigated. In the case the initial state of the reservoir is the vacuum state, an approximation is introduced which makes possible to construct a reduced dynamics which is completely…

量子物理 · 物理学 2017-08-23 Andrzej Kossakowski , Rolando Rebolledo

We develop a semi-analytical approach beyond the Born-Markov approximation to study the quench dynamics of the spin-boson model in the strong-coupling regime ($\alpha\leq1/2$) for the Ohmic bath. The basic idea in our approach is to write…

量子物理 · 物理学 2016-07-15 Hassan Shapourian

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,…

量子物理 · 物理学 2023-03-01 Xiantao Li , Chunhao Wang

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…

量子物理 · 物理学 2007-05-23 Heinz-Peter Breuer

We derive a kinetic theory for a spin-1/2 Bose-condensed gas of two-level atoms at finite temperatures. The condensate dynamics is described by a generalized Gross-Pitaevskii equation for the two-component spinor order parameter, which…

统计力学 · 物理学 2007-05-23 T. Nikuni , J. E. Williams

The active driving of the electron spin of a color center is known as a method for the hyperpolarization of the surrounding nuclear spin bath and to initialize a system with large number of spins. Here, we investigate the efficiency of this…

量子物理 · 物理学 2023-08-15 F. T. Tabesh , M. Fani , J. S. Pedernales , M. B. Plenio , M. Abdi

The equations of perfect spin hydrodynamics are solved for the first time using a realistic (3+1)-dimensional hydrodynamic background, calibrated to reproduce a comprehensive set of hadronic observables, including rapidity distributions,…

高能物理 - 唯象学 · 物理学 2025-02-19 Sushant K. Singh , Radoslaw Ryblewski , Wojciech Florkowski

A direct numerical algorithm for solving the time-nonlocal non-Markovian master equation in the second Born approximation is introduced and the range of utility of this approximation, and of the Markov approximation, is analyzed for the…

化学物理 · 物理学 2011-06-30 Navinder Singh , Paul Brumer

We explore the nonunital non-Markovian dynamics of a qubit immersed in a spin bath. The nonunital environmental effects on the precisions of quantum parameter estimation are investigated. The time-dependent transfer matrix and inhomogeneity…

量子物理 · 物理学 2013-11-26 Xiang Hao , Wenjiong Wu , Shiqun Zhu

We calculate exactly the time-dependent reduced density matrix for the central spin in the central-spin model with homogeneous Heisenberg couplings. Therefrom, the dynamics and the entanglement entropy of the central spin are obtained. A…

统计力学 · 物理学 2009-11-11 Michael Bortz , Joachim Stolze

Spin Hamiltonians, like the Heisenberg model, are used to describe magnetic properties of exchange-coupled molecules and solids. For finite clusters, physical quantities such as heat capacities, magnetic susceptibilities or…

强关联电子 · 物理学 2025-06-24 Shadan Ghassemi Tabrizi , Thomas D. Kühne

We study the reduced dynamics of open quantum spin chains of arbitrary length $N$ with nearest neighbour $XX$ interactions, immersed within an external constant magnetic field along the $z$ direction, whose end spins are weakly coupled to…

量子物理 · 物理学 2021-09-22 Fabio Benatti , Roberto Floreanini , Laleh Memarzadeh

The reaction coordinate (RC) technique is emerging as a significant tool in the study of quantum dissipative dynamics and quantum thermodynamics. With the objective to further establish this tool, here we explore to what extent the method…

量子物理 · 物理学 2021-12-08 Nicholas Anto-Sztrikacs , Dvira Segal

We present a new approach to calculate real-time quantum dynamics in complex systems. The formalism is based on the partitioning of a system's environment into "core" and "reservoir" modes, with the former to be treated quantum mechanically…

统计力学 · 物理学 2015-05-30 Timothy C. Berkelbach , David R. Reichman , Thomas E. Markland