Half-Vortex Unbinding and Ising Transition in Constrained Superfluids

Abstract

We analyze the thermodynamics of the atomic and (nematic) pair superfluids appearing in the attractive two-dimensional Bose-Hubbard model with a three-body hard-core constraint that has been derived as an effective model for cold atoms subject to strong three-body losses in optical lattices. We show that the thermal disintegration of the pair superfluidity is governed by the proliferation of fractional half-vortices leading to a Berezinskii-Kosterlitz-Thousless transition with unusual jump in the helicity modulus. In addition to the (conventional) Berezinskii-Kosterlitz-Thousless transition out of the atomic superfluid, we furthermore identify a direct thermal phase transition separating the pair and the atomic superfluid phases, and show that this transition is continuous with critical scaling exponents consistent with those of the two-dimensional Ising universality class. We exhibit a direct connection between the partial loss of quasi long-range order at the Ising transition between the two superfluids and the parity selection in the atomic winding number fluctuations that distinguish the atomic from the pair superfluid.

15 pages, 9 figures

References in corpus (15)

• Many-Body Physics with Ultracold Gases
• Atomic three-body loss as a dynamical three-body interaction
• Generalized Directed Loop Method for Quantum Monte Carlo Simulations
• Half-vortices in polariton condensates
• Half-quantum vortex state in a spin-orbit coupled Bose-Einstein condensate
• Emerging Bosons with Three-Body Interactions from Spin-1 Atoms in Optical Lattices
• Superfluidity and phase transitions in a resonant Bose gas
• Preparation and spectroscopy of a metastable Mott insulator state with attractive interactions
• Pair Superfluidity of Three-Body Constrained Bosons in Two Dimensions
• New ordered phases in a class of generalized XY models
• Boson pairing and unusual criticality in a generalized XY model
• Single-particle versus pair condensation of hard-core bosons with correlated hopping
• Nematic and chiral orders for planar spins on triangular lattice
• Superfluid-Insulator Transitions in Attractive Bose-Hubbard Model with Three-Body Constraint
• Thermal Phase transitions in attractive extended Bose-Hubbard Model with three-body constraint

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