Scratched-XY Universality and Phase Diagram of Disordered 1D Bosons in Optical Lattice

ORAL

Abstract

The superfluid-insulator quantum phase transition in a 1D system with weak links belongs to the so-called scratched-XY universality class, provided the irrenormalizable exponent $\zeta$ characterizing the distribution of weak links is smaller than $2/3$. With a combination of worm-algorithm Monte Carlo simulations and asymptotically exact analytics, we accurately trace the position of the scratched-XY critical line on the ground-state phase diagram of bosonic Hubbard model at unity filling. In particular, we reveal the location of the tricritical point separating the scratched-XY criticality from the Giamarchi-Schulz one.

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Authors

  • Zhiyuan Yao

    Department of Physics, University of Massachusetts, Amherst, MA 01003, USA

  • Lode Pollet

    Department of Physics, Arnold Sommerfeld Center for Theoretical Physics and Center for NanoScience, University of Munich, Theresienstrasse 37, 80333 M, Ludwig Maximilian University of Munich, Department of Physics, Arnold Sommerfeld Center for Theoretical Physics and Center for NanoScience, Ludwig-Maximilians-University Munich

  • Nikolay Prokof'ev

    Department of Physics, University of Massachusetts, Amherst, MA 01003, USA, University of Massachusetts, University of Massachusetts, Amherst;Russian Research Center “Kurchatov Institute”, UMass Amherst, University of Massachusetts, Amherst; Russian Research Center ``Kurchatov Institute"

  • Boris Svistunov

    Department of Physics, University of Massachusetts, Amherst, MA 01003, USA, University of Massachusetts, University of Massachusetts Amherst, UMass Amherst, University of Massachusetts, Amherst; Russian Research Center ``Kurchatov Institute"