Dynamics of a finite-rate quantum quench in an ultra-cold atomic BCS superfluid

Bogdan Damski, Chih-Chun Chien

Joachim Brand, Andrey R. Kolovsky

Ryan M. Kalas, Eddy Timmermans

B. Ramachandhran, Satyan Bhongale, Han Pu

Trapped ultra-cold atom experiments provide a unique opportunity to understand Bose-Fermi superfluid mixtures occurring in contrasting areas of physics. At present there are several atom-trap experiments that could potentially explore this superfluid-mixture regime, thus warranting a detailed understanding of the occurrence and stability of various possible thermodynamic phases in the mixture. In the present work, we therefore construct the finite temperature phase diagram of an interacting atomic mixture of Bose and Fermi superfluids. Our study reveals a unique region of phase space, where the BCS instability of the Fermi surface coincides with dynamical instability of the homogeneous mixture towards phase separation through a first-order transition. We illustrate how this intriguing interplay manifests in a trapped configuration, thereby providing important constraints for observing superfluidity in experiments.

Chih-Chun Chien, Bogdan Damski

We study dynamics of an ultracold atomic BCS superfluid driven toward the BCS superfluid--Fermi-liquid quantum critical point by a gradual decrease of the pairing interaction. We analyze how the BCS superfluid falls out of equilibrium and show that the nonequilibrium gap and Cooper pair size reflect critical properties of the transition. We observe three stages of evolution: adiabatic where the Cooper pair size is inversely proportional to the equilibrium gap, weakly nonequilibrium where it is inversely proportional to the nonequilibrium gap, and strongly nonequilibrium where it decouples from both equilibrium and nonequilibrium gap. These phenomena should stimulate future experimental characterization of nonequilibrium ultracold atomic BCS superfluids.

Analabha Roy