Laser assisted tunneling in a Tonks-Girardeau gas

TL;DR

This paper demonstrates that laser assisted tunneling can effectively simulate the ground state of strongly interacting one-dimensional Bose gases in optical lattices, enabling exploration of novel quantum phases.

Contribution

It shows that laser assisted tunneling can be used to realize and study the ground states of Tonks-Girardeau gases in optical lattices with nontrivial hopping phases.

Findings

Stroboscopic dynamics match ground state properties of discrete lattice models.

Laser assisted tunneling accurately reproduces momentum distribution and natural orbital occupancies.

Technique is viable for creating and exploring new quantum phases in strongly interacting bosonic systems.

Abstract

We investigate the applicability of laser assisted tunneling in a strongly interacting one-dimensional Bose gas (the Tonks-Girardeau gas) in optical lattices. We find that the stroboscopic dynamics of the Tonks-Girardeau gas in a continuous Wannier-Stark-ladder potential, supplemented with laser assisted tunneling, effectively realizes the ground state of one-dimensional hard-core bosons in a discrete lattice with nontrivial hopping phases. We compare observables that are affected by the interactions, such as the momentum distribution, natural orbitals and their occupancies, in the time-dependent continuous system, to those of the ground state of the discrete system. Stroboscopically, we find an excellent agreement, indicating that laser assisted tunneling is a viable technique for realizing novel ground states and phases with hard-core one-dimensional Bose gases.