Periodic dynamics of fermionic superfluids in the BCS regime

TL;DR

This paper investigates the non-equilibrium dynamics of fermionic superfluids under periodic driving, revealing how the pairing symmetry influences excitation distributions and emphasizing the importance of BCS self-consistency in long-term behavior.

Contribution

It provides an analytical framework for understanding the driven dynamics of fermionic superfluids, highlighting the role of pairing symmetry and BCS self-consistency in non-equilibrium states.

Findings

Fermion density and residual energy depend on drive frequency and period.

Momentum distribution reveals pairing symmetry, distinguishing s- and d-wave superfluids.

BCS self-consistency critically influences long-time dynamics.

Abstract

We study the zero temperature non-equilibrium dynamics of a fermionic superfluid in the BCS limit and in the presence of a drive leading to a time dependent chemical potential $\mu(t)$. We choose a periodic driving protocol characterized by a frequency $\omega$ and compute the fermion density, the wavefunction overlap, and the residual energy of the system at the end of $N$ periods of the drive. We demonstrate that the BCS self-consistency condition is crucial in shaping the long-time behaviour of the fermions subjected to the drive and provide an analytical understanding of the behaviour of the fermion density $n_{{\mathbf k}_F}$ (where ${\mathbf k}_F$ is the Fermi momentum vector) after a drive period and for large $\omega$. We also show that the momentum distribution of the excitations generated due to such a drive bears the signature of the pairing symmetry and can be used, for example, to distinguish between s- and d-wave superfluids. We propose experiments to test our theory.