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We analyze the effect of a bath of spins interacting with a spin system in terms of the equation of motion technique. We show that this formalism can be used with general spin systems and baths, and discuss the concrete case of a Quantum…

Strongly Correlated Electrons · Physics 2019-09-23 Álvaro Gómez-León , Tim Cox , Philip Stamp

By employing the spin-boson model in a dense limit of environmental modes, quantum entanglement and correlation of sub-Ohmic and Ohmic baths for dissipative quantum phase transitions are numerically investigated based on the variational…

Quantum Physics · Physics 2022-02-08 Xiaohui Qian , Zhe Sun , Nengji Zhou

We consider dissipative periodically forced systems and investigate cases in which having information as to how the system behaves for constant dissipation may be used when dissipation varies in time before settling at a constant final…

Dynamical Systems · Mathematics 2015-06-29 James A. Wright , Jonathan H. B. Deane , Michele Bartuccelli , Guido Gentile

We consider the quantum dynamics of two spin-1/2 systems, each coupled to a bath of oscillators, so that a bath-mediated coupling is generated between the spins. We find that the interactions destroys any coherent motion of the 2 spins,…

Condensed Matter · Physics 2007-05-23 M. Dube , P. C. E. Stamp

We propose an extension of the Plefka expansion, which is well known for the dynamics of discrete spins, to stochastic differential equations with continuous degrees of freedom and exhibiting generic nonlinearities. The scenario is…

Disordered Systems and Neural Networks · Physics 2017-06-23 Barbara Bravi , Peter Sollich , Manfred Opper

The dynamics of a simple spin chain (2 spins) coupled to bosonic baths at different temperatures is studied. The analytical solution for the reduced density matrix of the system is found. The dynamics and temperature dependence of spin-spin…

Quantum Physics · Physics 2009-05-05 Ilya Sinaysky , Francesco Petruccione , Daniel Burgarth

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…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 S. Camalet , R. Chitra

Here, we develop the exact dynamics of the central spin model, modeling a finite-bath open quantum system. Particularly, two different types of interactions are investigated between the system and the bath: Heisenberg interaction with…

Quantum Physics · Physics 2025-11-11 Devvrat Tiwari , Subhashish Banerjee

We study the dissipative dynamics of a harmonic oscillator which couples linearly through its position and its momentum to two independent heat baths at the same temperature. We argue that this model describes a large spin in a ferromagnet.…

Statistical Mechanics · Physics 2009-11-11 Heiner Kohler , Fernando Sols

We study the dynamical stability of the entanglement between the two spin ensembles in the presence of an environment. For a comparative study, we consider the two cases: a single spin ensemble, and two ensembles linearly coupled to a bath,…

Quantum Physics · Physics 2015-05-13 H. T. Ng , S. Bose

We study the evolution of entanglement of a pair of coupled, non-resonant harmonic oscillators in contact with an environment. For both the cases of a common bath and of two separate baths for each of the oscillators, a full master equation…

Quantum Physics · Physics 2018-04-06 Fernando Galve , Gian Luca Giorgi , Roberta Zambrini

This thesis deals with the study of dynamical properties of out-of-equilibrium quantum systems. We introduce in particular a general class of Spin-Boson models, which describe for example light-matter interaction or dissipative phenomena.…

Mesoscale and Nanoscale Physics · Physics 2018-04-17 Loïc Henriet

We study an extended central spin model with an isotropic nearest-neighbour spin-exchange interaction among the bath spins. The system is controllable by external magnetic fields applied on the central spin and the bath, respectively. We…

Strongly Correlated Electrons · Physics 2020-07-08 Pengcheng Lu , Hai-Long Shi , Like Cao , Xiao-Hui Wang , Tao Yang , Junpeng Cao , Wen-Li Yang

Understanding the dynamics of dissipative quantum systems, particularly beyond the weak coupling approximation, is central to various quantum applications. While numerically exact methods provide accurate solutions, they often lack the…

Quantum Physics · Physics 2024-06-26 Marlon Brenes , Brett Min , Nicholas Anto-Sztrikacs , Nir Bar-Gill , Dvira Segal

This paper deals with the mathematical modelling of large strain magneto-viscoelastic deformations. Energy dissipation is assumed to occur both due to the mechanical viscoelastic effects as well as the resistance offered by the material to…

Classical Physics · Physics 2015-02-10 Prashant Saxena , Mokarram Hossain , Paul Steinmann

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

The spin-boson model, involving spins interacting with a bath of quantum harmonic oscillators, is a widely used representation of open quantum systems. Trapped ions present a natural platform for simulating the quantum dynamics of such…

Dynamics of the (sub-)Ohmic spin-boson model under various bath initial conditions is investigated by employing the Dirac-Frenkel time-dependent variational approach with the multiple Davydov $\mathrm{D_1}$ ansatz in the interaction…

Chemical Physics · Physics 2023-03-22 Lipeng Chen , Yiying Yan , Maxim F. Gelin , Zhiguo Lü

We revisit the problem of the decoherence and relaxation of a central spin coupled to a bath of conduction electrons. We consider both metallic and semiconducting baths to study the effect of a gap in the bath density of states (DOS) on the…

Mesoscale and Nanoscale Physics · Physics 2013-04-16 Juliana Restrepo , R. Chitra , S. Camalet , Emilie Dupont

The one-dimensional Ising model is easily generalized to a \textit{genuinely nonequilibrium} system by coupling alternating spins to two thermal baths at different temperatures. Here, we investigate the full time dependence of this system.…

Statistical Mechanics · Physics 2007-05-23 M. Mobilia , R. K. P. Zia , B. Schmittmann