Supercurrent survival under Rosen-Zener quench of hard core bosons

TL;DR

This paper analytically investigates the dynamics of supercurrent decay in impenetrable bosons subjected to a Rosen-Zener quench, revealing how the current evolves from rapid to slow quenches and identifying a cubic relation for small initial boosts.

Contribution

It provides an exact solution for supercurrent evolution under a Rosen-Zener quench in a hard-core boson system, covering arbitrary quench rates and analyzing decay and oscillations.

Findings

Current decay and oscillations are analytically derived.

Long-time supercurrent scales as the cube of initial boost for small boosts.

The evolution is exactly solvable for arbitrary quench rates.

Abstract

We study the survival of super-currents in a system of impenetrable bosons subject to a quantum quench from its critical superfluid phase to an insulating phase. We show that the evolution of the current when the quench follows a Rosen-Zener profile is exactly solvable. This allows us to analyze a quench of arbitrary rate, from a sudden destruction of the superfluid to a slow opening of a gap. The decay and oscillations of the current are analytically derived, and studied numerically along with the momentum distribution after the quench. In the case of small supercurrent boosts $\nu$, we find that the current surviving at long times is proportional to $\nu^3$.