Dark stationary matter-waves via parity-selective evaporation in a Tonks-Girardeau gas

TL;DR

This paper proposes a method to generate dark stationary waves in a Tonks-Girardeau gas by using parity-selective evaporation, creating excitations analogous to nondiffracting optical beams.

Contribution

It introduces a novel scheme for manipulating many-body quantum states in a TG gas through dynamic potential control, enabling the creation of stationary wave patterns.

Findings

Demonstrates the feasibility of parity-selective evaporation for state engineering.

Establishes a mapping between TG gas excitations and optical nondiffracting beams.

Provides a theoretical framework for experimental realization of dark stationary waves.

Abstract

We propose a scheme for observing dark stationary waves in a Tonks-Girardeau (TG) gas. The scheme is based on parity-selective dynamical "evaporation" of the gas via a time-dependent potential, which excites the gas from its ground state towards a desired specially-tailored many-body state. These excitations of the TG gas are analogous to linear partially coherent nondiffracting beams in optics, as evident from the mapping between the quantum dynamics of the TG gas and the propagation of incoherent light in one-dimensional linear photonic structures.