Higher spin Richardson-Gaudin model with time-dependent coupling: Exact dynamics
quant-ph, cond-mat.quant-gas, cond-mat.stat-mech, cond-mat.supr-con, math-ph, math.MP
Submitted: 2025-07-14
Updated: 2025-07-14
Comments: 28 pages, 18 figures
Journal ref: Phys. Rev. B 113, 195147 (2026)
DOI: 10.1103/c8vm-hz26
License: http://creativecommons.org/licenses/by/4.0/
The gist: We determine the exact asymptotic many-body wavefunction of a spin- s Richardson-Gaudin model with a coupling inversely proportional to time, for time evolution starting from the ground state at t =
Terminology
Abstract
We determine the exact asymptotic many-body wavefunction of a spin- s Richardson-Gaudin model with a coupling inversely proportional to time, for time evolution starting from the ground state at t = 0+ and for arbitrary s. Contrary to common belief, the resulting wavefunction cannot be derived from the spin- 1/2 case by merging spins, but instead requires independent treatment for each spin size. The steady state is non-thermal and, in contrast to the spin- 1/2 case, does not conform to a natural Generalized Gibbs Ensemble. We show that mean-field theory is exact for any product of a finite number of spin operators on different sites. We discuss how these findings can be probed in cavity QED and trapped ion experiments.
Sources
- A Brief History of Time Crystals
- Competing Bosonic Reactions: Insight from Exactly Solvable Time-Dependent Models
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