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Faithfully simulating the dynamics of open quantum systems requires efficiently addressing the challenge of an infinite Hilbert space. Inspired by the shifted boson operator technique used in ground-state studies of the spin-boson model…

Quantum Physics · Physics 2025-08-27 Yang Zhao , Lipeng Chen

We propose a general extended coherent state approach to the qubit (or fermion) and multi-mode boson coupling systems. The application to the spin-boson model with the discretization of a bosonic bath with arbitrary continuous spectral…

Quantum Gases · Physics 2015-05-14 Yu-Yu Zhang , Qing-Hu Chen , Ke-Lin Wang

Using a variational approach we investigate the delocalized to localized crossover in the ground state of an Ohmic two-impurity spin-boson model, describing two otherwise non-interacting spins coupled to a common bosonic environment. We…

Mesoscale and Nanoscale Physics · Physics 2015-03-13 Dara P. S. McCutcheon , Ahsan Nazir , Sougato Bose , Andrew J. Fisher

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 revisit the critical behavior of the sub-ohmic spin-boson model. Analysis of both the leading and subleading terms in the temperature dependence of the inverse static local spin susceptibility at the quantum critical point, calculated…

Strongly Correlated Electrons · Physics 2012-02-14 Stefan Kirchner , Kevin Ingersent , Qimiao Si

We use the "generalized hierarchical equation of motion" proposed in Paper I to study decoherence in a system coupled to a spin bath. The present methodology allows a systematic incorporation of higher order anharmonic effects of the bath…

Chemical Physics · Physics 2018-01-17 Chang-Yu Hsieh , Jianshu Cao

Exact diagonalization of finite spin-1/2 chains with periodic boundary conditions is applied to the ground state (gs) of chains with ferromagnetic (F) exchange $J_1 < 0$between first neighbors, antiferromagnetic (AF) exchange $J_2 = \alpha…

Strongly Correlated Electrons · Physics 2012-05-15 Manoranjan Kumar , Zoltán G. Soos

We consider the parity transformation and the consequences of parity invariance on the $n$-point correlation function of the cosmic shear, or any other polar (or `spin-2') field. The decomposition of the shear field into E- and B-modes then…

Astrophysics · Physics 2009-11-07 Peter Schneider

We show that the low-frequency modes of a sub-Ohmic bosonic heat bath generate an effective dynamical asymmetry for an intrinsically symmetric quantum spin -1/2. An initially fully polarized spin first decays towards a quasiequilibrium…

Statistical Mechanics · Physics 2015-03-13 P. Nalbach , M. Thorwart

The class of two-interacting-impurity spin-boson models with vanishing transverse fields on the spin-pair is studied. The model can be exactly mapped into two independent standard single-impurity spin-boson models where the role of the…

The dynamics of a spin-1/2 particle coupled to a nuclear spin bath through an isotropic Heisenberg interaction is studied, as a model for the spin decoherence in quantum dots. The time-dependent polarization of the central spin is…

Quantum Physics · Physics 2007-06-28 D. D. Bhaktavatsala Rao , V. Ravishankar , V. Subrahmanyam

The transition from weakly damped coherent motion to localization in the context of the spin-boson model has been the subject of numerous studies with distinct behavior depending on the form of the phonon-bath spectral density,…

Strongly Correlated Electrons · Physics 2015-12-09 Eli Y. Wilner , Haobin Wang , Michael Thoss , Eran Rabani

We investigate quantum objectivity in the boson-spin model, where a central harmonic oscillator interacts with a thermal bath of spin-1/2 systems. We analyze how information about a continuous position variable can be encoded into discrete,…

Quantum Physics · Physics 2024-05-07 Tae-Hun Lee , Jarosław K. Korbicz

The loss of coherence of quantum oscillations is of fundamental interest as well as of practical importance in quantum computing. In solid-state experiments the oscillations show, next to the familiar exponential decay on time scales…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Frank K. Wilhelm

Maintaining coherence of a qubit is of vital importance for realizing a large-scale quantum computer in practice. In this work, we study the central spin decoherence problem in the $XXX$ central spin model (CSM) and focus on the quantum…

Quantum Physics · Physics 2020-11-10 Qing-Kun Wan , Hai-Long Shi , Xu Zhou , Xiao-Hui Wang , Wen-Li Yang

We investigate a spin-boson model with two boson baths that are coupled to two perpendicular components of the spin by employing the density matrix renormalization group method with an optimized boson basis. It is revealed that in the deep…

Quantum Physics · Physics 2014-04-30 Yang Zhao , Yao Yao , Vladimir Chernyak , Yang Zhao

The Mott insulating state of the Hubbard model at half-filling could be depicted as a spin liquid of singly occupied sites with holon-doublon quantum fluctuations localized in pairs. In one dimension the behavior is captured by a finite…

Strongly Correlated Electrons · Physics 2016-08-18 Cristian Degli Esposti Boschi , Arianna Montorsi , Marco Roncaglia

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…

The spin-boson model (or the dissipative two-state system) is a model for the study of dissipation and decoherence in quantum mechanics. The spin-boson model with Ohmic dissipation is an integrable theory, related to several other…

Strongly Correlated Electrons · Physics 2016-04-20 Sergei L. Lukyanov

We present an analysis of a variational coherent-squeezed state that has been discussed in the literature as a potential ground state for the spin-boson model. We show that when the system-size scaling of the spin-bath coupling is included…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 A. W. Chin