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A formalism for studying the dynamics of quantum systems embedded in classical spin baths is introduced. The theory is based on generalized antisymmetric brackets and predicts the presence of open-path off-diagonal geometric phases in the…

Quantum Physics · Physics 2016-10-21 Alessandro Sergi

In this paper a formalism for studying the dynamics of quantum systems coupled to classical spin environments is reviewed. The theory is based on generalized antisymmetric brackets and naturally predicts open-path off-diagonal geometric…

Quantum Physics · Physics 2016-10-21 Alessandro Sergi

Motivated by various systems in which quantum effects occur in classical backgrounds, we consider the dynamics of a classical particle as described by a coherent state that is coupled to a quantum bath via bi-quadratic interactions. We…

High Energy Physics - Theory · Physics 2018-02-06 Tanmay Vachaspati

We discuss the semiclassical and classical character of the dynamics of a single spin 1/2 coupled to a bath of noninteracting spins 1/2. On the semiclassical level, we extend our previous approach presented in D. Stanek, C. Raas, and G. S.…

Mesoscale and Nanoscale Physics · Physics 2014-08-13 Daniel Stanek , Carsten Raas , Götz S. Uhrig

The key feature of a quantum spin coupled to a harmonic bath---a model dissipative quantum system---is competition between oscillator potential energy and spin tunneling rate. We show that these opposing tendencies cause environmental…

Quantum Physics · Physics 2014-03-21 Soumya Bera , Serge Florens , Harold U. Baranger , Nicolas Roch , Ahsan Nazir , Alex W. Chin

We investigate the dissipative dynamics of a quantum critical system in contact with a thermal bath. In analogy with the standard protocol employed to analyze aging, we study the response of a system to a sudden change of the bath…

Statistical Mechanics · Physics 2015-05-13 Dario Patanè , Alessandro Silva , Fernando Sols , Luigi Amico

Quantum to classical crossover is a fundamental question in dynamics of quantum many-body systems. In frustrated magnets, for example, it is highly non-trivial to describe the crossover from the classical spin liquid with a…

The dissipative dynamics of a quantum bistable system coupled to a Ohmic heat bath is investigated beyond the spin-boson approximation. Within the path-integral approach to quantum dissipation, we propose an approximation scheme which…

Statistical Mechanics · Physics 2017-09-19 Luca Magazzù , Davide Valenti , Bernardo Spagnolo , Milena Grifoni

The competition between Hamiltonian and Lindblad dynamics in quantum systems give rise to non-equillibrium phenomena with no counter part in conventional condensed matter physics. In this paper, we investigate this interplay of dynamics in…

Quantum Physics · Physics 2024-01-31 Irfan A Dar , Faisal Farooq , Junaid Majeed , Mehboob Rashid , Sheikh Irfan , Muzaffar Qadir Lone

We discuss the dynamics of a spin coupled to a damped harmonic oscillator. This system can be mapped to a spin-boson model with a structured bath, i.e. the spectral function of the bath has a resonance peak. We diagonalize the model by…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 Silvia Kleff , Stefan Kehrein , Jan von Delft

Dynamics of quantum entanglement shared between system spins which are connected to thermal equilibrium baths is studied. Central spin system comprises of the entangled spins, and is connected to baths and one of the bath has strong…

Quantum Physics · Physics 2013-10-18 Nageswaran Rajendran

Small spin systems at the interface between analytical studies and experimental application have been intensively studied in recent decades. The spin ring consisting of four spins with uniform antiferromagnetic Heisenberg interaction is an…

Statistical Mechanics · Physics 2023-04-19 Heinz-Jürgen Schmidt , Christian Schröder

The dynamics of hybrid systems -- i.e. ones in which classical and quantum degrees of freedom co-exist and interact -- feature both diffusion in the classical sector and decoherence in the quantum state. In this article, we will consider…

Quantum Physics · Physics 2025-10-10 Emanuele Panella

We solve the time-dependent Schrodinger equation for the combination of a spin system interacting with a spin bath environment. In particular, we focus on the time development of the reduced density matrix of the spin system. Under normal…

Quantum Physics · Physics 2010-03-30 Shengjun Yuan , Mikhail I. Katsnelson , Hans De Raedt

We implement continued-fraction techniques to solve exactly quantum master equations for a spin with arbitrary S coupled to a (bosonic) thermal bath. The full spin density matrix is obtained, so that along with relaxation and…

Statistical Mechanics · Physics 2009-11-11 J. L. Garcia-Palacios , D. Zueco

An exact reduced dynamical map along with its operator sum representation is derived for a central spin interacting with a thermal spin environment. The dynamics of the central spin shows high sustainability of quantum traits such as…

Quantum Physics · Physics 2017-11-23 Chiranjib Mukhopadhyay , Samyadeb Bhattacharya , Avijit Misra , Arun Kumar Pati

The quantum dynamics of two-level systems under classical oscillator heat bath is mapped to the classical one of a charged particle under harmonic oscillator potential plus a magnetic field in a plane. The behavior of eigenstates and…

Condensed Matter · Physics 2008-02-03 Mo-lin Ge , Lei Wang

In this review, we discuss the decoherence and thermalization of a quantum spin system interacting with a spin bath environment, by numerically solving the time-dependent Schr\"{o}dinger equation of the whole system. The effects of the…

Quantum Physics · Physics 2010-05-27 Shengjun Yuan

We present the quantum dynamics of a spin coupling to a bath of independent spins via the dissipaton equation of motion (DEOM) approach. The bath, characterized by a continuous spectral density function, is composed of spins that are…

Quantum Physics · Physics 2023-02-02 Wenxiang Ying , Yu Su , Zi-Hao Chen , Yao Wang , Pengfei Huo

The quantum dynamics of mesoscopic or macroscopic systems is always complicated by their coupling to many "environmental" modes.At low T these environmental effects are dominated by localised modes, such as nuclear and paramagnetic spins,…

Condensed Matter · Physics 2009-10-31 Nikolay Prokof'ev , Philip Stamp
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