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Using a real-time renormalization group method we determine the complete dynamics of the spin-boson model with ohmic dissipation for coupling strengths $\alpha\lesssim 0.1-0.2$. We calculate the relaxation and dephasing time, the static…

Statistical Mechanics · Physics 2009-10-31 Markus Keil , Herbert Schoeller

We study asymptotic synchronization at the level of global attractors in a class of coupled second order in time models which arises in dissipative wave and elastic structure dynamics. Under some conditions we prove that this…

Dynamical Systems · Mathematics 2015-09-29 Igor Chueshov

In this paper, we consider stochastic master equations describing the evolution of quantum spin-1/2 systems interacting with electromagnetic fields undergoing continuous-time measurements. We suppose that the initial states and the exact…

Optimization and Control · Mathematics 2020-04-14 Weichao Liang , Nina H. Amini , Paolo Mason

We show that several models of interacting XXZ spin chains subject to boundary driving and dissipation possess a subtle kind of time-reversal symmetry, making their steady states exactly solvable. We focus on a model with a coherent…

Quantum Physics · Physics 2025-04-16 Mingxing Yao , Andrew Lingenfelter , Ron Belyansky , David Roberts , Aashish A. Clerk

An effective spin-orbit coupling can be generated in cold atom system by engineering atom-light interactions. In this letter we study spin-1/2 and spin-1 Bose-Einstein condensates with Rashba spin-orbit coupling, and find that the…

Quantum Gases · Physics 2010-10-27 Chunji Wang , Chao Gao , Chao-Ming Jian , Hui Zhai

Spin-phonon coupling is the main drive of spin relaxation and decoherence in solid-state semiconductors at finite temperature. Controlling this interaction is a central problem for many disciplines, ranging from magnetic resonance to…

Materials Science · Physics 2022-08-23 Alessandro Lunghi

We consider the out-of-equilibrium dynamics of the Heisenberg anisotropic quantum spin--$1/2$ chain threaded by a time-dependent magnetic flux. In the spirit of the recently developed generalized hydrodynamics (GHD), we exploit the…

Statistical Mechanics · Physics 2019-06-26 A. Bastianello , A. De Luca

We study the Hamiltonian dynamics of the spherical spin model with fully-connected two-body interactions drawn from a Gaussian probability distribution. In the statistical physics framework, the potential energy is of the so-called $p=2$…

Statistical Mechanics · Physics 2018-07-04 Leticia F. Cugliandolo , Gustavo S. Lozano , Nicolas Nessi , Marco Picco , Alessandro Tartaglia

An analytical formula is obtained to describe the evolution of the average populations of spin components of spin-1 atomic gases. The formula is derived from the exact time-dependent solution of the Hamiltonian $H_{S}=c mathbf{S}^{2}$…

Atomic and Molecular Clusters · Physics 2013-05-29 Ma Luo , Zhibing Li , Chengguang Bao

We study an open quantum spin chain with non-reciprocal dissipation using a theoretical approach known as time-dependent generalized Gibbs ensemble. In the regime of weak dissipation the system is fully characterized by its rapidity…

Quantum Physics · Physics 2026-01-14 Alice Marché , Hironobu Yoshida , Alberto Nardin , Hosho Katsura , Leonardo Mazza

We discuss a generalization of the dephasing-type spin-boson model in which N qubits are connected to K bosonic modes in an arbitrary way. The model can be solved exactly for any initial state and coupling type. We found that this leads to…

Quantum Physics · Physics 2019-11-22 Mariana Afeche Cipolla , Gabriel T. Landi

We investigate the decoherence of a spin 1/2 subsystem weakly coupled to an environment of many spins 1/2 with and without mutual coupling. The total system is closed, its state is pure and evolves under Schroedinger dynamics. Nevertheless,…

Quantum Physics · Physics 2009-11-11 Harry Schmidt , Guenter Mahler

We introduce a class of variational states to study ground state properties and real-time dynamics in (2+1)-dimensional compact QED. These are based on complex Gaussian states which are made periodic in order to account for the compact…

High Energy Physics - Theory · Physics 2020-11-19 Julian Bender , Patrick Emonts , Erez Zohar , J. Ignacio Cirac

We present an exact analytical solution of the fundamental systems of quasi-one-dimensional spin-1/2 fermions with infinite repulsion for arbitrary confining potential. The eigenfunctions are constructed by the combination of Gireardeau's…

Strongly Correlated Electrons · Physics 2009-04-22 Liming Guan , Shu Chen , Yupeng Wang , Zhong-Qi Ma

We consider the continuum Widom-Rowlinson model under independent spin-flip dynamics and investigate whether and when the time-evolved point process has an (almost) quasilocal specification (Gibbs-property of the time-evolved measure). Our…

Probability · Mathematics 2017-04-11 Benedikt Jahnel , Christof Kuelske

It was recently shown that, for central spin-1/2 and central spin-1, the XX central spin model is integrable in the presence of a magnetic field oriented perpendicular to the XY plane in which the coupling exists. In the spin-1/2 case, it…

Mesoscale and Nanoscale Physics · Physics 2024-07-04 Eric De Nadai , Nathan Maestracci , Alexandre Faribault

We investigate the equilibration of a Kondo model that is initially prepared in a non-equilibrium state towards its equilibrium behavior. Such initial non-equilibrium states can e.g. be realized in quantum dot experiments with…

Strongly Correlated Electrons · Physics 2010-03-22 D. Lobaskin , S. Kehrein

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…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Daniel Loss , David P. DiVincenzo

The real-time dynamics of equal-site correlation functions is studied for one-dimensional spin models with quenched disorder. Focusing on infinite temperature, we present a comparison between the dynamics of models with different quantum…

Statistical Mechanics · Physics 2020-02-07 Jonas Richter , Dennis Schubert , Robin Steinigeweg

Eigenvectors of the reduced Bardeen-Cooper-Schrieffer Hamiltonian, Richardson-Gaudin (RG) states, are used as a variational wavefunction Ansatz for strongly-correlated electronic systems. These states are geminal products whose coefficients…