Extension of the Generalized Hydrodynamics to the Dimensional Crossover Regime

Year: 2021

Authors: Moller F., Li C.; Mazets I., Stimming H.-P., Zhou T., Zhu Z., Chen X., Schmiedmayer J.

Autors Affiliation: Vienna Center for Quantum Science and Technology (VCQ), Atominstitut, TU Wien, Vienna, Austria; School of Electronics Engineering and Computer Science, Peking University, Beijing, 100871, China; Research Platform MMM Mathematics-Magnetism-Materials, C/o Fakultdt f

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.


Volume: 126 (9)      Pages from: 090602-1  to: 090602-8

More Information: This work was supported by the Austrian Science Fund (FWF) via the SFB 1225 ISOQUANT (I 3010-N27). We further acknowledge financial support by the ESQ (Erwin Schrodinger Center for Quantum Science & Technology) Discovery programme, hosted by the Austrian Academy of Sciences (OAW). I. M. and H.-P. S. acknowledge the support by the Wiener Wissenschafts-und Technologiefonds (WWTF) via Grant No. MA16-066 (SEQUEX) and by the Austrian Science Fund (FWF) via Grant SFB F65 (Complexity in PDE systems). X. C. acknowledges the support from the National Natural Science Foundation of China (Grant No. 11920101004, 91736208). We thank Vincenzo Alba, Alvise Bastianello, Jean-Sebastien Caux, Marcos Rigol, David Weiss, Wei Xiong, Hepeng Yao, and Xiaoji Zhou for enlightening discussions.
KeyWords: Bose gases
DOI: 10.1103/PhysRevLett.126.090602