Multi-flavor bosonic Hubbard models in the first excited Bloch band of an optical lattice

Abstract

We propose that by exciting ultra cold atoms from the zeroth to the first Bloch band in an optical lattice, novel multi-flavor bosonic Hubbard Hamiltonians can be realized in a new way. In these systems, each flavor hops in a separate direction and on-site exchange terms allow pairwise conversion between different flavors. Using band structure calculations, we determine the parameters entering these Hamiltonians and derive the mean field ground state phase diagram for two effective Hamiltonians (2D, two-flavors and 3D, three flavors). Further, we estimate the stability of atoms in the first band using second order perturbation theory and find lifetimes that can be considerable (10-100 times) longer than the relevant time scale associated with inter-site hopping dynamics, suggesting that quasi-equilibrium can be achieved in these meta-stable states.

26 pages, 18 figures

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Cited by in corpus (126)

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• Non-standard Hubbard models in optical lattices: a review
• Orbital superfluidity in the $P$-band of a bipartite optical square lattice
• The $p_{x,y}$-orbital counterpart of graphene: cold atoms in the honeycomb optical lattice
• State preparation and dynamics of ultracold atoms in higher lattice orbitals
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• Unconventional states of bosons with synthetic spin-orbit coupling
• Atomic matter of non-zero momentum Bose-Einstein condensation and orbital current order
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• Orbital ordering and frustration of $p$-band Mott-insulators
• Gapless Bosonic Excitation without symmetry breaking: Novel Algebraic Spin liquid with soft Gravitons
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• Unconventional Bose-Einstein Condensations Beyond the "No-node" Theorem
• Unconventional superfluid order in the $F$-band of a bipartite optical square lattice
• Orbital order in Mott insulators of spinless p-band fermions
• Proposed realization of itinerant ferromagnetism in optical lattices
• Searching for a Supersolid in Cold Atom Optical Lattices
• Prediction of quantum stripe ordering in optical lattices
• Extended Bose Hubbard model of interacting bosonic atoms in optical lattices: from superfluidity to density waves
• XYZ quantum Heisenberg models with p-orbital bosons
• Bond algebraic liquid phase in strongly correlated multiflavor cold atom systems
• Commensurate mixtures of ultra-cold atoms in one dimension
• Quantum anomalous Hall states in the $p$-orbital honeycomb optical lattices
• Incommensurate superfluidity of bosons in a double-well optical lattice
• Topologically induced avoided band crossing in an optical chequerboard lattice
• Interaction-induced chiral p_x \pm i p_y superfluid order of bosons in an optical lattice
• Multiband bosons in optical lattices
• Interaction Quench Induced Multimode Dynamics of Finite Atomic Ensembles
• Stable Fulde-Ferrell-Larkin-Ovchinnikov pairing states in 2D and 3D optical lattices
• Exact Results on Itinerant Ferromagnetism in Multi-orbital Systems on Square and Cubic Lattices
• Time reversal symmetry breaking of $p$-orbital bosons in a one-dimensional optical lattice
• Floquet Engineering of Haldane Chern Insulators and Chiral bosonic phase transitions
• Orbital optical lattices with bosons
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• Multi-band and nonlinear hopping corrections to the 3D Bose-Fermi Hubbard model
• Complex and real unconventional Bose-Einstein condensations in high orbital bands
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• How to estimate the differential acceleration in a two-species atom interferometer to test the equivalence principle
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• Modulated pair condensate of p-orbital ultracold fermions
• Creation on demand of higher orbital states in a vibrating optical lattice
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• Loss of superfluidity by fermions in the boson Hubbard model on an optical lattice
• Optimal time-dependent lattice models for nonequilibrium dynamics
• Condensates induced by interband coupling in a double-well lattice
• Bath-induced band decay of a Hubbard lattice gas
• Macroscopic superposition states of ultracold bosons in a double-well potential
• Confined p-band Bose-Einstein condensates
• Effective action approach to the p-band Mott insulator and superfluid transition
• p-Wave Optical Feshbach Resonances in Yb-171
• Exotic phases of interacting p-band bosons
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• Formation and detection of a chiral orbital Bose liquid in an optical lattice
• Tunneling-Induced Restoration of the Degeneracy and the Time-Reversal Symmetry Breaking in Optical Lattices
• Orbital ice: an exact Coulomb phase on the diamond lattice
• Frustrated Cooper pairing and the $f$-wave supersolidity
• Multi-orbital bosons in bipartite optical lattices
• Topological Kondo insulators in one dimension: Continuous Haldane-type ground-state evolution from the strongly-interacting to the non-interacting limit
• Interaction-induced excited-band condensate in a double-well optical lattice
• Fermions in optical lattices near a Feshbach resonance: from band insulator to Mott insulator
• Dispersive spectrum and orbital order of spinless p-band fermions in an optical lattice
• Dynamical instability and loss of p-band bosons in optical lattices
• Effects of a dilute gas of fermions on the superfluid-insulator phase diagram of the Bose-Hubbard model
• Phase diagram of the Bose Kondo-Hubbard model
• Phase diagram of the asymmetric Hubbard model and an entropic chromatographic method for cooling cold fermions in optical lattices
• Global phase diagram of the spin-1 antiferromagnet with uniaxial anisotropy on the kagome lattice
• Orbital-driven melting of a bosonic Mott insulator in a shaken optical lattice
• Atom-Orbital Qubits under Holonomic Quantum Control
• Superfluid phases of fermions with hybridized $s$ and $p$ orbitals
• The impact of spatial correlation on the tunneling dynamics of few-boson mixtures in a combined triple well and harmonic trap
• Orbital many-body dynamics of bosons in the second Bloch band of an optical lattice
• Chern Kondo Insulator in an Optical Lattice
• Orbital order of spinless fermions near an optical Feshbach resonance
• Sign problem free quantum Monte-Carlo study on thermodynamic properties and magnetic phase transitions in orbital-active itinerant ferromagnets
• Frustrated Bose-Einstein condensates with non-collinear orbital ordering
• Phase-Sensitive Detection for Unconventional Bose-Einstein Condensations
• P-band in a rotating optical lattice
• Phases of Bosons or Fermions in confined optical lattices
• Quantum magnetism with ultracold bosons carrying orbital angular momentum
• Renormalization group analysis of $p$-orbital Bose-Einstein condensates in a square optical lattice
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• Optimal lattice depth on lifetime of D-band ultracold atoms in a triangular optical lattice
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• Crystalline Splitting of $d$ Orbitals in Regular Optical Lattices
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• Unconventional Bose-Einstein Condensation in a System of Two-species Bosons in the $p$-orbital Bands of a Bipartite Lattice
• Tricriticality in Crossed Ising Chains
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• Engineering Frequency-dependent Superfluidity in Bose-Fermi Mixtures
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• Bose-Einstein condensation in a frustrated triangular optical lattice
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