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The energy of the bosonic bath and the flow of quantum information are analyzed over short and long times in local dephasing channels for special correlated or factorized initial conditions, respectively, which involve thermal states. The…

Quantum Physics · Physics 2018-12-26 Filippo Giraldi

An explicit demonstration is given of a harmonic oscillator in equilibrium approaching the equilibrium of a corresponding interacting system by coupling it to a thermal bath consisting of a continuum of harmonic oscillators.

Quantum Physics · Physics 2007-06-27 Vinay Ambegaokar

We consider a discrete quantum system coupled to a finite bath, which may consist of only one particle, in contrast to the standard baths which usually consist of continua of oscillators, spins, etc. We find that such finite baths may…

Quantum Physics · Physics 2007-05-23 Jochen Gemmer , Mathias Michel

Wilson's momentum shell renormalization group method is used to solve for the dynamics of the dissipative two--state system. We utilize the mapping of the spin--boson model onto the anisotropic Kondo model (AKM) and solve for the dynamics…

Condensed Matter · Physics 2009-10-28 T. A. Costi , C. Kieffer

A new approach to dissipative quantum systems modelled by a system plus environment Hamiltonian is presented. Using a continuous sequence of infinitesimal unitary transformations the small quantum system is decoupled from its…

Statistical Mechanics · Physics 2009-10-30 Stefan Kehrein , Andreas Mielke

We solve for the decoherence dynamics of two models in which a simple qubit or Central Spin couples to a bath of spins; the bath is made from a chain of spins. In model 1, the bath spins are Ising spins; in Model 2, they are coupled by…

Quantum Physics · Physics 2024-05-08 P. C. E. Stamp Zhen Zhu

Dephasing in quantum systems is typically the result of its interaction with environmental degrees of freedom. We investigate within a spin-boson model the influence of a super-Ohmic environment on the dynamics of a quantum two-state…

Quantum Physics · Physics 2023-07-12 Philipp Nacke , Florian Otterpohl , Michael Thorwart , Peter Nalbach

Spin-boson models are the canonical benchmark for quantum dissipation. We show the symmetry structure of general spin-boson Hamiltonians and obtain their spectra explicitly by exploiting the symmetry. As an illustration of the general case,…

Quantum Physics · Physics 2026-03-04 Yifan Sun , Lian-Ao Wu

It is shown that a spin system is equivalent to a set of constrained harmonic oscillators. For finite, but large, systems, a continuous approximation to the density of states can be used, and the oscillator frequencies can be exactly…

Materials Science · Physics 2023-05-19 Gabriel Gil , Augusto Gonzalez

The entanglement dynamics in a bipartite system consisting of a qubit and a harmonic oscillator interacting only through their coupling with the same bath is studied. The considered model assumes that the qubit is coupled to the bath via…

Quantum Physics · Physics 2020-05-11 Revanth Badveli , Vinayak Jagadish , S. Akshaya , R. Srikanth , Francesco Petruccione

Spin-boson Hamiltonians are an effective description for numerous quantum many-body systems such as atoms coupled to cavity modes, quantum electrodynamics in circuits and trapped ion systems. While reaching the limit of strong coupling is…

Statistical Mechanics · Physics 2020-03-04 Eliana Fiorelli , Pietro Rotondo , Federico Carollo , Matteo Marcuzzi , Igor Lesanovsky

A low temperature model system consisting of a central spin coupled to a spin-bath is studied to determine whether interaction among bath spins has an effect on central spin dynamics. In the absence of intra-environmental coupling,…

Quantum Physics · Physics 2007-05-23 L. Tessieri , J. Wilkie

We introduce an exactly solvable model to study decoherence of a central spin interacting with a spin bath where the coupling is mediated by phonons which we assume to be in a coherent state or thermal distribution. For the coherent state…

Quantum Physics · Physics 2010-12-02 O. Bozat , Z. Gedik

As a paradigmatic model of open quantum system, the spin-boson model is widely used in theoretical and experimental investigations. Beyond the weak coupling limit, the spin dynamics can be described by a time-nonlocal generalized master…

Statistical Mechanics · Physics 2018-08-10 L. Magazzù , S. Denisov , P. Hänggi

We present a combination of analytic calculations and a powerful numerical method for large spin baths in the low-field limit. The hyperfine interaction between the central spin and the bath is fully captured by the density matrix…

Mesoscale and Nanoscale Physics · Physics 2013-10-10 Daniel Stanek , Carsten Raas , Götz S. Uhrig

We study the non-adiabatic dynamics of a two-state subsystem in a bath of independent spins using the non-interacting blip approximation, and derive an exact analytic expression for the relevant memory kernel. We show that in the…

Mesoscale and Nanoscale Physics · Physics 2014-07-23 Dvira Segal

Quantum information processing has greatly increased interest in the phenomenon of environmentally-induced decoherence. The spin boson model is widely used to study the interaction between a spin-modelling a quantum particle moving in a…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Nicholas Wynn Watkins , David Waxman

We propose a method to simulate the dynamics of spin-boson models with small crystals of trapped ions where the electronic degree of freedom of one ion is used to encode the spin while the collective vibrational degrees of freedom are…

We consider composite quantum-dynamical systems that can be partitioned into weakly interacting subsystems, similar to system-bath type situations. Using a factorized wave function ansatz, we mathematically characterize dynamical scale…

Analysis of PDEs · Mathematics 2023-12-04 Irene Burghardt , Rémi Carles , Clotilde Fermanian Kammerer , Benjamin Lasorne , Caroline Lasser

We solve for the dynamics of a pair of spins, coupled to each other and also to an environmental sea of oscillators. The environment mediates an indirect interaction between the spins, causing both mutual coherence effects and dissipation.…

Condensed Matter · Physics 2015-06-25 M. Dube , P. C. E. Stamp