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  • Letter
  • Open Access

Collisionless drag for a one-dimensional two-component Bose-Hubbard model

Daniele Contessi1, Donato Romito2,3, Matteo Rizzi4,5, and Alessio Recati2,1

  • 1Dipartimento di Fisica, Università di Trento, 38123 Povo, Italy
  • 2INO-CNR BEC Center, 38123 Povo, Italy
  • 3Mathematical Sciences, University of Southampton, Highfield, Southampton SO17 1BJ, United Kingdom
  • 4Forschungszentrum Jülich, Institute of Quantum Control, Peter Grünberg Institut (PGI-8), 52425 Jülich, Germany
  • 5Institute for Theoretical Physics, University of Cologne, D-50937 Köln, Germany

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Phys. Rev. Research 3, L022017 – Published 28 May, 2021

DOI: https://doi.org/10.1103/PhysRevResearch.3.L022017

Abstract

We theoretically investigate the elusive Andreev-Bashkin collisionless drag for a two-component one-dimensional Bose-Hubbard model on a ring. By means of tensor network algorithms, we calculate the superfluid stiffness matrix as a function of intra- and interspecies interactions and of the lattice filling. We then focus on the most promising region close to the so-called pair-superfluid phase, where we observe that the drag can become comparable with the total superfluid density. We elucidate the importance of the drag in determining the long-range behavior of the correlation functions and the spin speed of sound. In this way, we are able to provide an expression for the spin Luttinger parameter KS in terms of drag and the spin susceptibility. Our results are promising in view of implementing the system by using ultracold Bose mixtures trapped in deep optical lattices, where the size of the sample is of the same order of the number of particles we simulate. Importantly, the mesoscopicity of the system, far from being detrimental, appears to favor a large drag, avoiding the Berezinskii-Kosterlitz-Thouless jump at the transition to the pair-superfluid phase which would reduce the region where a large drag can be observed.

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References (42)

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Outline

Information

Phys. Rev. Research 3, L022017– Published 28 May, 2021
  • Received 29 September 2020
  • Revised 20 February 2021
  • Accepted 31 March 2021
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

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