Tailoring Dynamical Fermionization: Delta kick cooling of a Tonks-Girardeau gas

TL;DR

This paper demonstrates how a generalized delta kick cooling protocol can tailor and reverse dynamical fermionization in a Tonks-Girardeau gas, enabling control over its momentum distribution for quantum microscopy.

Contribution

It introduces a novel protocol extending delta kick cooling to interacting systems, allowing manipulation of dynamical fermionization in one-dimensional quantum gases.

Findings

DF can be tailored and reversed using the proposed protocol.

The method applies to both expansion and compression dynamics.

The protocol enables microscopy of quantum correlations.

Abstract

In one spatial dimension, quantum exchange statistics and interactions are inextricably intertwined. As a manifestation, the expansion dynamics of a Tonks-Girardeau gas is characterized by dynamical fermionization (DF), whereby the momentum distribution approaches that of a spin-polarized Fermi gas. Using a phase-space analysis and the unitary evolution of the one-body reduced density matrix, we show that DF can be tailored and reversed, using a generalization of delta kick cooling (DKC) to interacting systems, establishing a simple protocol to rescale the initial momentum distribution. The protocol applies to both expansions and compressions and can be used for microscopy of quantum correlations.