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 (1) , Romain Dubessy (2)

1 IACS - Idian Association for the Cultivation of Science
2 LPL - Laboratoire de Physique des Lasers

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.

Domaines: Gaz Quantiques [cond-mat.quant-gas]

Abhik Kumar Saha, Romain Dubessy. Dynamical phase diagram of a one dimensional Bose gas in a box with a tunable weak-link: from Bose-Josephson oscillations to shock waves. Physical Review A : Atomic, molecular, and optical physics [1990-2015], 2021, 104, pp.023316. ⟨hal-03201469v2⟩