Parametric hypersensitivity in many-body bath-mediated transport: The quantum Rabi model

TL;DR

This paper reveals that the dissipative Rabi model exhibits sharp transport rate spikes at specific parameters due to avoided energy level crossings, with similar phenomena in related models, linked to quantum resonance and integrability.

Contribution

It uncovers the parametric hypersensitivity in many-body bath-mediated transport within the dissipative Rabi model and related systems, connecting it to avoided crossings and quantum integrability.

Findings

Transport rate spikes occur at narrow parameter ranges.

Spikes correlate with avoided energy level crossings.

Behavior is linked to quantum integrability differences.

Abstract

We demonstrate that non-equilibrium steady states of the dissipative Rabi model show dramatic spikes in transport rates over narrow parameter ranges. Similar results are found for the Holstein and Dicke models. This is found to be due to avoided energy level crossings in the corresponding closed systems, and correlates with spikes in the entanglement entropy of key eigenstates, a signature of strong mixing and resonance among system degrees of freedom. Further, contrasting the Rabi model with the Jaynes-Cummings model reveals this behavior as being related to quantum integrability.