Dynamical phase diagram of a one-dimensional Bose gas in a box with a tunable weak link: From Bose-Josephson oscillations to shock waves

Abhik Kumar Saha; Romain Dubessy

doi:10.1103/PhysRevA.104.023316

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Dynamical phase diagram of a one-dimensional Bose gas in a box with a tunable weak link: From Bose-Josephson oscillations to shock waves

Abhik Kumar Saha, Romain Dubessy

DOI 10.1103/PhysRevA.104.023316 · Physical Review A

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Abstract

We study the dynamics of one-dimensional bosons trapped in a box potential in the presence of a barrier creating a tunable weak link, thus realizing a one-dimensional Bose-Josephson junction. By varying the initial population imbalance and the barrier height, we evidence different dynamical regimes. In particular, we show that at large barriers a two-mode model captures accurately the dynamics, while for low barriers the dynamics involves dispersive shock waves and solitons. We study a quench protocol that can be readily implemented in experiments and show that self-trapping resonances can occur. This phenomenon can be understood qualitatively within the two-mode model.