Hybrid Semiclassical Theory of Quantum Quenches in One-Dimensional Systems

Cătălin Paşcu Moca, Márton Kormos, and Gergely Zaránd
Phys. Rev. Lett. 119, 100603 – Published 8 September 2017
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Abstract

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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  • Received 20 September 2016

DOI:https://doi.org/10.1103/PhysRevLett.119.100603

© 2017 American Physical Society

Physics Subject Headings (PhySH)

Statistical Physics & Thermodynamics

Authors & Affiliations

Cătălin Paşcu Moca1,2, Márton Kormos3, and Gergely Zaránd1

  • 1BME-MTA Exotic Quantum Phase Group, Institute of Physics, Budapest University of Technology and Economics, H-1111 Budapest, Hungary
  • 2Department of Physics, University of Oradea, 410087 Oradea, Romania
  • 3BME-MTA Statistical Field Theory Research Group, Institute of Physics, Budapest University of Technology and Economics, H-1111 Budapest, Hungary

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Issue

Vol. 119, Iss. 10 — 8 September 2017

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