Abstract

Topological superfluidity is an important concept in electronic materials as well as ultracold atomic gases1. However, although progress has been made by hybridizing superconductors with topological substrates, the search for a material—natural or artificial—that intrinsically exhibits topological superfluidity has been ongoing since the discovery of the superfluid 3He-A phase2. Here we report evidence for a globally chiral atomic superfluid, induced by interaction-driven time-reversal symmetry breaking in the second Bloch band of an optical lattice with hexagonal boron nitride geometry. This realizes a long-lived Bose–Einstein condensate of 87Rb atoms beyond present limits to orbitally featureless scenarios in the lowest Bloch band. Time-of-flight and band mapping measurements reveal that the local phases and orbital rotations of atoms are spontaneously ordered into a vortex array, showing evidence of the emergence of global angular momentum across the entire lattice. A phenomenological effective model is used to capture the dynamics of Bogoliubov quasi-particle excitations above the ground state, which are shown to exhibit a topological band structure. The observed bosonic phase is expected to exhibit phenomena that are conceptually distinct from, but related to, the quantum anomalous Hall effect3–7 in electronic condensed matter.

Highlights

  • We take a step in this direction by demonstrating interactioninduced, spontaneous time-reversal symmetry (TRS) breaking and formation of a chiral atomic superfluid in an orbital optical lattice with global angular momentum and topological excitations and edge states

  • The system is expected to exhibit the bosonic counterpart of the quantum anomalous Hall effect[3,4,5,6,7]; not as a result of an engineered band structure, as in the famous Haldane model[27]

  • As shown by theoretical considerations (Supplementary Information), it is the contact interaction between degenerate p orbitals that leads to a spontaneous breaking of TRS, the formation of global angular momentum, a topologically non-trivial excitation band structure and the existence of topological edge states

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Summary

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Xiao-Qiong Wang[1,2,7], Guang-Quan Luo[1,2,7], Jin-Yu Liu[1,2], W. An alternative approach towards optical lattice simulators beyond conventional s-band Hubbard physics is the implementation of orbital degrees of freedom by making use of higher Bloch bands[20,21,22,23,24] This recent direction has led to interesting new multi-orbital quantum phases, including examples that have local angular momentum. We take a step in this direction by demonstrating interactioninduced, spontaneous time-reversal symmetry (TRS) breaking and formation of a chiral atomic superfluid in an orbital optical lattice with global angular momentum and topological excitations and edge states. This metastable state exhibits remarkable robustness with a lifetime of hundreds of milliseconds.

Energy ky KΔ kx KΔ
Bc s b
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