A bosonic topological phase in a paired superfluid

Abstract

We study an effective model of two interacting species of bosons in two dimensions, which is amenable to sign problem free Monte Carlo simulations. In addition to conventional ground states, we access a paired superfluid which is also a topological phase, protected by the remaining $U(1)\times {\mathbb{Z}}_2$ symmetry. This phase arises from the condensation of a composite object, the bound state of vortices and anti-vortices of one species, to a boson of the second species. We introduce a bulk response function, the Ising analog of the quantized Hall effect, to diagnose the topological phase. The interplay of broken symmetry and topology leads to interesting effects such as fractionally charged vortices in the paired superfluid. Possible extensions towards realistic models of cold atomic bosons are discussed.

6 pages, 4 figures

References in corpus (7)

• Many-Body Physics with Ultracold Gases
• Single-Atom Resolved Fluorescence Imaging of an Atomic Mott Insulator
• Bosonic Integer Quantum Hall effect in an interacting lattice model
• Pair Superfluidity of Three-Body Constrained Bosons in Two Dimensions
• Bosonic integer quantum Hall effect in optical flux lattices
• Simulating the All-Order Strong Coupling Expansion I: Ising Model Demo
• Microscopic Realization of 2-Dimensional Bosonic Topological Insulators

Cited by in corpus (3)

• Intrinsic sign problem in fermionic and bosonic chiral topological matter
• Intrinsic sign problems in topological quantum field theories
• Geometric and computational aspects of chiral topological quantum matter