Southwest Quantum Information and Technology

Extreme parametric sensitivity in bath-mediated transport due to avoided level crossings: The dissipative quantum Rabi model and others

Presenting Author: Arjendu Pattanayak, Carleton College
Contributing Author(s): Chern Chuang (University of Toronto), Arie Kapulkin (Carleton College), Paul Brumer (University of Toronto)

We show that non-equilibrium steady states (NESS) of the quantum Rabi model subject to two dissipative interactions have transport properties that are enhanced as spikes over narrow parameter windows, with a lineshape that depends on details of the model for the system and the dissipation. We also find similar results for related models of quantum transport and light-matter interactions including the Holstein and Dicke Hamiltonians. We show that this phenomenon is due to low-energy avoided crossings in the corresponding closed system. In particular the transport spikes are correlated with spikes in the entanglement entropy of key energy eigenstates of the closed system, a signature of strong mixing and resonance among system degrees of freedom. Further, by comparing the Quantum Rabi model with the Jaynes-Cummings model we show that this phenomenon is related to quantum integrability. The results seem generically relevant and widely applicable, from analyses of chemical reaction dynamics in the condensed phase to the scrambling of information in well-controlled quantum devices.

(Session 9c : Friday from 4:45 pm - 5:15 pm)