Twisted complex superfluids in optical lattices

Abstract

We show that correlated pair tunneling drives a phase transition to a twisted superfluid with a complex order parameter. This unconventional superfluid phase spontaneously breaks the time-reversal symmetry and is characterized by a twisting of the complex phase angle between adjacent lattice sites. We discuss the entire phase diagram of the extended Bose--Hubbard model for a honeycomb optical lattice showing a multitude of quantum phases including twisted superfluids, pair superfluids, supersolids and twisted supersolids. Furthermore, we show that the nearest-neighbor interactions lead to a spontaneous breaking of the inversion symmetry of the lattice and give rise to dimerized density-wave insulators, where particles are delocalized on dimers. For two components, we find twisted superfluid phases with strong correlations between the species already for surprisingly small pair-tunneling amplitudes. Interestingly, this ground state shows an infinite degeneracy ranging continuously from a supersolid to a twisted superfluid.

References in corpus (18)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Non-standard Hubbard models in optical lattices: a review
• The Order Parameter for the Superconducting Phases of UPt${}_3$
• Electronic structure of the iron-based superconductor LaOFeP
• Observation of broken time-reversal symmetry in the heavy fermion superconductor UPt${}_3$
• Supersolids versus phase separation in two-dimensional lattice bosons
• Expansion of a quantum gas released from an optical lattice
• Unconventional Bose-Einstein Condensations Beyond the "No-node" Theorem
• Extended Bose Hubbard model of interacting bosonic atoms in optical lattices: from superfluidity to density waves
• Quantum phases of bosons in double-well optical lattices
• Fractional-filling loophole insulator domains for ultracold bosons in optical superlattices
• Phase Diagram of Interacting Bosons on the Honeycomb Lattice
• Creating a supersolid in one-dimensional Bose mixtures
• Cell strong coupling perturbative approach to the phase diagram of ultracold bosons in optical superlattices
• Fractional-filling Mott domains in two dimensional optical superlattices
• Extended Bose-Hubbard model with pair tunneling: spontaneous symmetry breaking, effective ground state and fragmentation
• Beyond mean-field study of a binary bosonic mixture in a state-dependent honeycomb lattice
• Dimerized Mott insulators in hexagonal optical lattices

Cited by in corpus (20)

• Staggered superfluid phases of dipolar bosons in two-dimensional square lattices
• Competing quantum phases of hard-core boson with tilted dipole-dipole interaction
• Breaking inversion symmetry in a state-dependent honeycomb lattice: Artificial graphene with tunable band gap
• Superfluid phases induced by the dipolar interactions
• Characteristic temperature for the immiscible-miscible transition of binary condensates in optical lattices
• Floquet-engineered nonlinearities and controllable pair-hopping processes: From optical Kerr cavities to correlated quantum matter
• Floquet engineering of optical nonlinearities: a quantum many-body approach
• Optimal and near-optimal probe states for quantum metrology of number conserving two-mode bosonic Hamiltonians
• Twisted superfluid phase in the extended one-dimensional Bose-Hubbard model
• Quantum phases of dipolar bosons in one-dimensional optical lattices
• Two supersolid phases in hard-core extended Bose-Hubbard model
• Generating accessible entanglement in bosons via pair-correlated tunneling
• Staggered Ground States in an Optical Lattice
• Novel quantum phases of two-component bosons with pair hopping in synthetic dimension
• Symmetry-broken momentum distributions induced by matter-wave diffraction during time-of-flight expansion of ultracold atoms
• Staggered quantum phases of dipolar bosons at finite temperatures
• Signatures of spatial inversion asymmetry of an optical lattice observed in matter-wave diffraction
• Competing order in two-band Bose-Hubbard chains with extended-range interactions
• Twisted superfluid and supersolid phases of triplons in bilayer honeycomb magnets
• Miscibility-Immiscibility transition of strongly interacting bosonic mixtures in optical lattices