Spin-orbit coupled spin-boson model : A variational analysis

Fuente: arXiv
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Auteurs principaux: Sinha, Sudip, Sinha, Subhasis, Dattagupta, Sushanta
Format: Preprint
Publié: 2025
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author Sinha, Sudip
Sinha, Subhasis
Dattagupta, Sushanta
author_facet Sinha, Sudip
Sinha, Subhasis
Dattagupta, Sushanta
contents The spin-boson (SB) model is a standard prototype for quantum dissipation, which we generalize in this work, to explore the dissipative effects on a one-dimensional spin-orbit (SO) coupled particle in the presence of a sub-ohmic bath. We analyze this model by extending the well-known variational polaron approach, revealing a localization transition accompanied by an intriguing change in the spectrum, for which the doubly degenerate minima evolves to a single minimum at zero momentum as the system-bath coupling increases. For translational invariant system with conserved momentum, a continuous magnetization transition occurs, whereas the ground state changes discontinuously. We further investigate the transition of the ground state in the presence of harmonic confinement, which effectively models a quantum dot-like nanostructure under the influence of the environment. In both the scenarios, the entanglement entropy of the spin-sector can serve as a marker for these transitions. Interestingly, for the trapped system, a cat-like superposition state corresponds to maximum entanglement entropy below the transition, highlighting the relevance of the present model for studying the effect of decoherence on intra-particle entanglement in the context of quantum information processing.
format Preprint
id arxiv_https___arxiv_org_abs_2510_26468
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Spin-orbit coupled spin-boson model : A variational analysis
Sinha, Sudip
Sinha, Subhasis
Dattagupta, Sushanta
Statistical Mechanics
Quantum Gases
Quantum Physics
The spin-boson (SB) model is a standard prototype for quantum dissipation, which we generalize in this work, to explore the dissipative effects on a one-dimensional spin-orbit (SO) coupled particle in the presence of a sub-ohmic bath. We analyze this model by extending the well-known variational polaron approach, revealing a localization transition accompanied by an intriguing change in the spectrum, for which the doubly degenerate minima evolves to a single minimum at zero momentum as the system-bath coupling increases. For translational invariant system with conserved momentum, a continuous magnetization transition occurs, whereas the ground state changes discontinuously. We further investigate the transition of the ground state in the presence of harmonic confinement, which effectively models a quantum dot-like nanostructure under the influence of the environment. In both the scenarios, the entanglement entropy of the spin-sector can serve as a marker for these transitions. Interestingly, for the trapped system, a cat-like superposition state corresponds to maximum entanglement entropy below the transition, highlighting the relevance of the present model for studying the effect of decoherence on intra-particle entanglement in the context of quantum information processing.
title Spin-orbit coupled spin-boson model : A variational analysis
topic Statistical Mechanics
Quantum Gases
Quantum Physics
url https://arxiv.org/abs/2510.26468