Lieb-Liniger Bosons in a Shallow Quasiperiodic Potential: Bose Glass Phase and Fractal Mott Lobes

Hepeng Yao, Thierry Giamarchi, and Laurent Sanchez-Palencia
Phys. Rev. Lett. 125, 060401 – Published 3 August 2020
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Abstract

The emergence of a compressible insulator phase, known as the Bose glass, is characteristic of the interplay of interactions and disorder in correlated Bose fluids. While widely studied in tight-binding models, its observation remains elusive owing to stringent temperature effects. Here we show that this issue may be overcome by using Lieb-Liniger bosons in shallow quasiperiodic potentials. A Bose glass, surrounded by superfluid and Mott phases, is found above a critical potential and for finite interactions. At finite temperature, we show that the melting of the Mott lobes is characteristic of a fractal structure and find that the Bose glass is robust against thermal fluctuations up to temperatures accessible in quantum gases. Our results raise questions about the universality of the Bose glass transition in such shallow quasiperiodic potentials.

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  • Received 16 February 2020
  • Accepted 13 July 2020

DOI:https://doi.org/10.1103/PhysRevLett.125.060401

© 2020 American Physical Society

Physics Subject Headings (PhySH)

General Physics

Authors & Affiliations

Hepeng Yao1, Thierry Giamarchi2, and Laurent Sanchez-Palencia1

  • 1CPHT, CNRS, Institut Polytechnique de Paris, Route de Saclay 91128 Palaiseau, France
  • 2Department of Quantum Matter Physics, University of Geneva, 24 Quai Ernest-Ansermet, CH-1211 Geneva, Switzerland

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Issue

Vol. 125, Iss. 6 — 7 August 2020

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