2018/09/18 by D. X. Horvath, I. Lovas, M. Kormos +2 · 1 citation
Physics and Astronomy · #cond-mat.quant-gas #cond-mat.stat-mech #hep-th
paper · pdf · doi:10.1103/physreva.100.013613
published as Phys. Rev. A 100, 013613 (2019) · 34 pages, 9 figures
arxiv created 2018/09/18 · arxiv updated 2019/07/17
We discuss the non-equilibrium time evolution of the phase field in the sine-Gordon model using two very different approaches: the truncated Wigner approximation and the truncated conformal space approach. We demonstrate that the two approaches agree for a period covering the first few oscillations, thereby giving a solid theoretical prediction in the framework of sine-Gordon model, which is thought to describe the dynamics of two bosonic condensates in quasi-one-dimensional traps coupled via a Josephson tunneling term. We conclude, however, that the recently observed phase-locking behavior cannot be explained in terms of homogeneous sine-Gordon dynamics, which hints at the role of other degrees of freedom or inhomogeneity in the experimental system.