Eur. Phys. J. Special Topics 203, 207-216 (2012)
https://doi.org/10.1140/epjst/e2012-01544-0

Regular Article

Solvable model of dissipative dynamics in the deep strong coupling regime

¹ Dipartimento di Scienza e Alta Tecnologia, Università degli Studi dell’Insubria, via Valleggio 11, 22100 Como, Italy
² Departamento de Química Física, Universidad del País Vasco-Euskal Herriko Unibertsitatea, Apartado 644, 48080 Bilbao, Spain
³ Instituto de Física Fundamental, CSIC, Serrano 113-bis, 28006 Madrid, Spain
⁴ IKERBASQUE, Basque Foundation for Science, Alameda Urquijo 36, 48011 Bilbao, Spain

^a e-mail: matteo.bina@gmail.com

Received: 13 January 2012
Revised: 21 February 2012
Published online: 11 April 2012

Abstract

We describe the dynamics of a qubit interacting with a bosonic mode coupled to a zero-temperature bath in the deep strong coupling (DSC) regime. We provide an analytical solution for this open system dynamics in the off-resonance case of the qubit-mode interaction. Collapses and revivals of parity chain populations and the oscillatory behavior of the mean photon number are predicted. At the same time, photon number wave packets, propagating back and forth along parity chains, become incoherently mixed. Finally, we investigate numerically the effect of detuning on the validity of the analytical solution.