Symmetry and Exact Solutions of General Spin-Boson Models

TL;DR

This paper explores the symmetry structures of general spin-boson models and derives their spectra explicitly, providing a method to obtain exact solutions, exemplified through a two-mode case.

Contribution

It reveals the symmetry properties of general spin-boson Hamiltonians and explicitly solves their spectra, advancing understanding of quantum dissipation models.

Findings

Explicit spectra derived for general spin-boson models

Symmetry structures identified and exploited

Numerical demonstration for two-mode case

Abstract

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, we numerically demonstrate the exact solution for the two-mode case.