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

• URL: http://arxiv.org/abs/2510.26468v1
• Date: Thu, 30 Oct 2025 13:13:47 GMT
• Title: Spin-orbit coupled spin-boson model : A variational analysis
• Authors: Sudip Sinha, S. Sinha, S. Dattagupta,
• Abstract summary: We explore the dissipative effects on a one-dimensional spin-orbit coupled particle in the presence of a sub-ohmic bath.<n>We extend the well-known variational polaron approach, revealing a localization transition accompanied by an intriguing change in the spectrum.<n>In both the scenarios, the entanglement entropy of the spin-sector can serve as a marker for these transitions.
• Score: 0.3823356975862005
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: 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.

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