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The reduced dynamics of a central spin coupled to a bath of N spin-1/2 particles arranged in a spin star configuration is investigated. The exact time evolution of the reduced density operator is derived, and an analytical solution is…

Quantum Physics · Physics 2007-05-23 Heinz-Peter Breuer , Daniel Burgarth , Francesco Petruccione

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 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

Decoherence of a central spin coupled to an interacting spin bath via inhomogeneous Heisenberg coupling is studied by two different approaches, namely an exact equations of motion (EOMs) method and a Chebyshev expansion technique (CET). By…

Mesoscale and Nanoscale Physics · Physics 2016-01-20 Ning Wu , Nina Fröhling , Xi Xing , Johannes Hackmann , Arun Nanduri , Frithjof B. Anders , Herschel Rabitz

We obtain the analytical expression for the Kraus decomposition of the quantum map of an environment modeled by an arbitrary quadratic fermionic Hamiltonian acting on one or two qubits, and derive simple functions to check the…

A quantum two-level system immersed in a sub-Ohmic bath experiences enhanced low-frequency quantum statistical fluctuations which render the nonequilibrium quantum dynamics highly non-Markovian. Upon using the numerically exact…

Statistical Mechanics · Physics 2022-09-20 Florian Otterpohl , Peter Nalbach , Michael Thorwart

We have studied, in a fully non-perturbative calculation, a dilute system of spin 1/2 interacting fermions, characterized by an infinite scattering length at finite temperatures. Various thermodynamic properties and the condensate fraction…

Statistical Mechanics · Physics 2014-10-13 Aurel Bulgac , Joaquin E. Drut , Piotr Magierski

The dynamics of entanglement and fidelity for a subsystem of two separate spin-1/2 qubits prepared in Bell states is investigated. One of the subsystem qubit labelled $A$ is under the influence of a Heisenberg XY spin-bath, while another…

Quantum Physics · Physics 2009-11-13 Jun Jing , Zhi-guo Lü , Guo-hong Yang

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

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

We study thermalization in a one-dimensional quantum system consisting of a noninteracting fermionic chain with each site of the chain coupled to an additional bath site. Using a density matrix renormalization group algorithm we investigate…

Statistical Mechanics · Physics 2013-03-14 N. Sedlmayr , J. Ren , F. Gebhard , J. Sirker

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

We consider a macroscopic quantum system such as a qubit, interacting with a bath of fermions as in the Fr\"ohlich polaron model. The interaction Hamiltonian is thus linear in the macroscopic system variable, and bilinear in the fermions.…

Quantum Physics · Physics 2020-07-16 Erik Aurell , Jan Tuziemski

We present low-temperature dynamic properties of the quantum two-dimensional antiferromagnetic Heisenberg model with spin S=1/2. The calculation of the dynamic correlation function is performed by combining a projection operator formalism…

Strongly Correlated Electrons · Physics 2009-11-11 A. F. Albuquerque , A. S. T. Pires , M. E. Gouvea

We consider a model of quantum dynamical semigroup on a finite dimensional fermionic space, obtained as the continuous-time limit of a repeated interactions model between a system and several thermal baths, with a dynamic driven by…

Mathematical Physics · Physics 2019-10-04 Andreys Simon

We study analytically and numerically a couple of paradigmatic spin models, each described in terms of two sets of variables attached to two different thermal baths with characteristic timescales $T$ and $\tau$ and inverse temperatures $B$…

Statistical Mechanics · Physics 2023-05-18 Giovanni Battista Carollo , Federico Corberi , Giuseppe Gonnella

We propose a new approach to simulate the decoherence of a central spin coupled to an interacting dissipative spin bath with cluster-correlation expansion techniques. We benchmark the approach on generic 1D and 2D spin baths and find…

Quantum Physics · Physics 2023-12-05 Mykyta Onizhuk , Yu-Xin Wang , Jonah Nagura , Aashish A. Clerk , Giulia Galli

The dynamics of simple qubit systems in a chain configuration coupled at both ends to separate bosonic baths at different temperatures is studied. An exact analytical solution of the master equation in the Born-Markov approximation for the…

Quantum Physics · Physics 2014-01-13 I. Sinayskiy , N. Pumulo , F. Petruccione

The microscopic control available over cold atoms in optical lattices has opened new opportunities to study the properties of quantum spin models. While a lot of attention is focussed on experimentally realizing ground or thermal states via…

We investigate the exact evolution of the reduced dynamics of a one qubit system as central spin coupled to a femionic layered environment with unlimited number of layers. Also, we study the decoherence induced on central spin by analysis…

Quantum Physics · Physics 2013-04-23 Mahmoud Mahdian , Hadi Mehrabpour
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