Extension of the Generalized Hydrodynamics to the Dimensional Crossover Regime

Frederik Møller, Chen Li, Igor Mazets, Hans-Peter Stimming, Tianwei Zhou, Zijie Zhu, Xuzong Chen, and Jörg Schmiedmayer
Phys. Rev. Lett. 126, 090602 – Published 5 March 2021
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Abstract

In an effort to address integrability breaking in cold gas experiments, we extend the integrable hydrodynamics of the Lieb-Liniger model with two additional components representing the population of atoms in the first and second transverse excited states, thus enabling a description of quasi-1D condensates. Collisions between different components are accounted for through the inclusion of a Boltzmann-type collision integral in the hydrodynamic equation. Contrary to standard generalized hydrodynamics, our extended model captures thermalization of the condensate at a rate consistent with experimental observations from a quantum Newton’s cradle setup.

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  • Received 25 June 2020
  • Revised 3 December 2020
  • Accepted 28 January 2021

DOI:https://doi.org/10.1103/PhysRevLett.126.090602

© 2021 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied PhysicsNonlinear DynamicsAtomic, Molecular & OpticalStatistical Physics & Thermodynamics

Authors & Affiliations

Frederik Møller1,*, Chen Li1,2, Igor Mazets1,3, Hans-Peter Stimming3, Tianwei Zhou2,4, Zijie Zhu5, Xuzong Chen2, and Jörg Schmiedmayer1

  • 1Vienna Center for Quantum Science and Technology (VCQ), Atominstitut, TU Wien, Vienna, Austria
  • 2School of Electronics Engineering and Computer Science, Peking University, Beijing 100871, China
  • 3Research Platform MMM “Mathematics—Magnetism—Materials,” c/o Fakultät für Mathematik, Universität Wien, 1090 Vienna, Austria
  • 4INO-CNR Istituto Nazionale di Ottica del CNR, Sezione di Sesto Fiorentino, I-50019 Sesto Fiorentino, Italy
  • 5Institute for Quantum Electronics, ETH Zurich, 8093 Zurich, Switzerland

  • *Corresponding author. frederik.moller@tuwien.ac.at

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Issue

Vol. 126, Iss. 9 — 5 March 2021

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