Journal
PHYSICAL REVIEW LETTERS
Volume 119, Issue 10, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.119.100603
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Funding
- Hungarian research fund OTKA [K105149, SNN118028]
- Romanian UEFISCDI [PN-III-P4-ID-PCE-2016-0032]
- Janos Bolyai Scholarship
- Premium Postdoctoral Fellowship of the HAS
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We develop a hybrid semiclassical method to study the time evolution of one-dimensional quantum systems in and out of equilibrium. Our method handles internal degrees of freedom completely quantum mechanically by a modified time-evolving block decimation method while treating orbital quasiparticle motion classically. We can follow dynamics up to time scales well beyond the reach of standard numerical methods to observe the crossover between preequilibrated and locally phase equilibrated states. As an application, we investigate the quench dynamics and phase fluctuations of a pair of tunnel-coupled one-dimensional Bose condensates. We demonstrate the emergence of soliton-collision-induced phase propagation, soliton-entropy production, and multistep thermalization. Our method can be applied to a wide range of gapped one-dimensional systems.
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