Topological Varma superfluid in optical lattices

Abstract

Topological states of matter are peculiar quantum phases showing different edge and bulk transport properties connected by the bulk-boundary correspondence. While non-interacting fermionic topological insulators are well established by now and have been classified according to a ten-fold scheme, the possible realisation of topological states for bosons has not been much explored yet. Furthermore, the role of interactions is far from being understood. Here, we show that a topological state of matter exclusively driven by interactions may occur in the p-band of a Lieb optical lattice filled with ultracold bosons. The single-particle spectrum of the system displays a remarkable parabolic band-touching point, with both bands exhibiting non-negative curvature. Although the system is neither topological at the single-particle level, nor for the interacting ground state, on-site interactions induce an anomalous Hall effect for the excitations, carrying a non-zero Chern number. Our work introduces an experimentally realistic strategy for the formation of interaction-driven topological states of bosons.

6+6 pages

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Cited by in corpus (41)

• Topological Photonics
• Experimental realization and characterization of an electronic Lieb lattice
• Interacting topological insulators: a review
• Exciton Polaritons in a Two-Dimensional Lieb Lattice with Spin-Orbit Coupling
• Tilted and type-III Dirac cones emerging from flat bands in photonic orbital graphene
• Orbital edge states in a photonic honeycomb lattice
• Chirality of topological gap solitons in bosonic dimer chains
• Symmetry-Breaking Topological Insulators in the ${\mathbb{Z}}_2$ Bose-Hubbard Model
• Quantum Valley Hall Effect and Perfect Valley Filter Based on Photonic Analogs of Transitional Metal Dichalcogenides
• Photonic Versus Electronic Quantum Anomalous Hall Effect
• Altermagnetic phase transition in a Lieb metal
• Detecting One-Dimensional Dipolar Bosonic Crystal Orders via Full Distribution Functions
• Observation of brane parity order in programmable optical lattices
• Dirac surface states in magnonic analogs of topological crystalline insulators
• Quantum degenerate Fermi gas in an orbital optical lattice
• Thouless pumping in a driven-dissipative Kerr resonator array
• Topological Classification of Excitations in Quadratic Bosonic Systems
• Rotation-symmetry-enforced coupling of spin and angular momentum for p-orbital bosons
• Orbital many-body dynamics of bosons in the second Bloch band of an optical lattice
• Interaction induced topological Bogoliubov excitations in a spin-orbit coupled Bose-Einstein condensate
• Enhanced repulsively bound atom pairs in topological optical lattice ladders
• Squeezing-induced Topological Gap Opening on Bosonic Bogoliubov Excitations
• Bosonic Topological Excitations from the Instability of a Quadratic Band Crossing
• Chiral orbital order of interacting bosons without higher bands
• Dynamics of Bose-Einstein Recondensation in Higher Bands
• Hubbard models and state preparation in an optical Lieb lattice
• Surge of power transmission in flat and nearly flat band lattices
• Selective population of a large-angular-momentum state in an optical lattice
• Topological Bogoliubov quasiparticles from Bose-Einstein condensate in a flat band system
• Quantum geometry of bosonic Bogoliubov quasiparticles
• Pseudo-time-reversal-symmetry-protected topological Bogoliubov excitations of Bose-Einstein condensates in optical lattices
• Excitation spectra of strongly interacting bosons in the flat-band Lieb lattice
• Orbital order in a bosonic $p$-band triangular lattice
• Intrinsic anomalous Hall effect across the magnetic phase transition of a spin-orbit-coupled Bose-Einstein condensate
• Collective P-Wave Orbital Dynamics of Ultracold Fermions
• Simulating the Palmer-Chalker state in an orbital superfluid
• Topological bosonic Bogoliubov excitations with sublattice symmetry
• Topological Higgs Amplitude Modes in Strongly Interacting Superfluids
• Bosonic Weyl excitations induced by $p$-orbital interactions in a cubic optical lattice
• Vortex bound states in dimerized $\pi$-flux optical lattices: characterization, state preparation and current measurement
• Orbital Optical Raman Lattice