Super-Tonks-Girardeau Quench in the Extended Bose-Hubbard Model

• URL: http://arxiv.org/abs/2306.10910v3
• Date: Tue, 19 Sep 2023 06:49:23 GMT
• Title: Super-Tonks-Girardeau Quench in the Extended Bose-Hubbard Model
• Abstract summary: We investigate the effect of a quench from a one-dimensional gas with strong and repulsive local interactions to a strongly attractive one, known as the super-Tonks-Girardeau effect. Our study employs the extended Bose-Hubbard model across various system sizes. Consistently, our findings unveil a region where the initially self-bound structure expands due to the super-Tonks-Girardeau quench.
• Score: 0.37282630026096597
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We investigate the effect of a quench from a one-dimensional gas with strong and repulsive local interactions to a strongly attractive one, known as the super-Tonks-Girardeau effect. By incorporating both an optical lattice and non-local interactions (specifically nearest-neighbor), we discover a previously unexplored phenomenon: the disruption of the state during the quench, but within a specific range of interactions. Our study employs the extended Bose-Hubbard model across various system sizes, starting with analytical results for two atoms and progressing to few-body systems using exact diagonalization, DMRG and TDVP methods. Finally, we use a numerical implementation of the local density approximation for a macroscopic number of atoms. Consistently, our findings unveil a region where the initially self-bound structure expands due to the super-Tonks-Girardeau quench. The fast evaporation provides a tool to characterize the phase diagram in state-of-art experiments exploring the physics of the extended Bose-Hubbard model.

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