Expansion dynamics in a one-dimensional hard-core boson model with three-body interactions

TL;DR

This study uses numerical simulations to analyze how bosons expand in a one-dimensional model with three-body interactions, revealing that expansion speed decreases with stronger interactions and can indicate phase transitions.

Contribution

It provides the first detailed numerical analysis of expansion dynamics in a 1D hard-core boson model with three-body interactions, highlighting the interaction-dependent expansion velocity.

Findings

Bosons expand ballistically at weak interactions.

Expansion velocity decreases as three-body interactions strengthen.

Ballistic expansion persists in the gapless phase, aiding phase transition detection.

Abstract

Using the adaptive time-dependent density matrix renormalization group method, we numerically investigate the expansion dynamics of bosons in a one-dimensional hard-core boson model with three-body interactions. It is found that the bosons expand ballistically with weak interaction, which are obtained by local density and the radius $R_n$. It is shown that the expansion velocity $V$, obtained from $R_n=Vt$, is dependent on the number of bosons. As a prominent result, the expansion velocity decreases with the enhancement of three-body interaction. We further study the dynamics of the system, which quenches from the ground state with two-thirds filling, the results indicate the expansion is also ballistic in the gapless phase regime. It could help us detect the phase transition in the system.