The dynamics of Tonks-Girardeau gas excited by a pulse drive

TL;DR

This paper investigates the non-equilibrium dynamics of Tonks-Girardeau gases in a harmonic trap under Gaussian pulse excitation, revealing stable states and frequency-dependent population behaviors.

Contribution

It introduces a detailed analysis of TG gas dynamics under pulse drive using Bose-Fermi mapping and numerical methods, highlighting new insights into excitation and relaxation processes.

Findings

System reaches a stable state after pulse drive

High-frequency pulses return the system to ground state

Low-frequency pulses cause population inversion and high-level occupation

Abstract

In this paper we study the dynamics of Tonks-Girardeau (TG) gases in a harmonic potential driven by Gaussian pulse, which is a correspondence of the excitation dynamics of electrons in matters driven by ultrashort laser pulse. The evolving dynamics of TG gas are obtained with Bose-Fermi mapping method combined with the numerical techniques. We calculate the evolving dynamics of occupation distribution of single-particle energy levels, density distribution and momentum distribution of the system. It is shown that the system arrived at a dynamically stable state at the end of driving. At high-frequency regime TG gases return back to ground state while at low-frequency regime the population inversion exhibits and all atoms occupy high levels.