Physics of higher orbital bands in optical lattices: a review

Abstract

Orbital degree of freedom plays a fundamental role in understanding the unconventional properties in solid state materials. Experimental progress in quantum atomic gases has demonstrated that high orbitals in optical lattices can be used to construct quantum emulators of exotic models beyond natural crystals, where novel many-body states such as complex Bose-Einstein condensation and topological semimetals emerge. A brief introduction of orbital degree of freedom in optical lattices is given and a summary of exotic orbital models and resulting many-body phases is provided. Experimental consequences of the novel phases are also discussed.

49 pages, 18 figures, updated references, invited review for Rep. Prog. Phys

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Cited by in corpus (82)

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• Topological edge states with ultracold atoms carrying orbital angular momentum in a diamond chain
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• Evidence of Potts-Nematic Superfluidity in a Hexagonal $s{p}^2$ Optical Lattice
• A Wavefunction Microscope for Ultracold Atoms
• Second-order topological corner states with ultracold atoms carrying orbital angular momentum in optical lattices
• Topological edge states and Aharanov-Bohm caging with ultracold atoms carrying orbital angular momentum
• Observation of a dynamical sliding phase superfluid with P-band bosons
• Interaction-induced topological properties of two bosons in flat-band systems
• Experimental observation of inter-orbital coupling
• Observation of unitary p-wave interactions between fermions in an optical lattice
• Topological and flat bands states induced by hybridized interactions in one-dimensional photonic lattices
• Precise Programmable Quantum Simulations with Optical Lattices
• Decoding flat bands from compact localized states
• Quantum degenerate Fermi gas in an orbital optical lattice
• Six-dimensional time-space crystalline structures
• Many-body Aharonov-Bohm caging in a lattice of rings
• Geometry-dependent skin effect and anisotropic Bloch oscillations in a non-Hermitian optical lattice
• Recent progress on quantum simulations of non-standard Bose-Hubbard models
• Floquet engineering of optical nonlinearities: a quantum many-body approach
• Perfect localization on flat band binary one-dimensional photonic lattices
• Floquet-engineered nonlinearities and controllable pair-hopping processes: From optical Kerr cavities to correlated quantum matter
• Ultracold Feshbach molecules in an orbital optical lattice
• Atom-Orbital Qubits under Holonomic Quantum Control
• 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
• Intrinsic Anomalous Hall Effect in a Bosonic Chiral Superfluid
• Finite Temperature Phase Transition in a Cross-Dimensional Triangular Lattice
• Quantum Information Scrambling Through a High-Complexity Operator Mapping
• Theory of interacting fermions in shaken square optical lattice
• Generating and detecting topological phases with higher Chern number
• Experimental realization of a high precision tunable hexagonal optical lattice
• Quantum magnetism with ultracold bosons carrying orbital angular momentum
• Chiral orbital magnetism of $p$-orbital bosons in optical lattices
• Optimal lattice depth on lifetime of D-band ultracold atoms in a triangular optical lattice
• Evidence for Quantum Stripe Ordering in a Triangular Optical Lattice
• Chiral orbital order of interacting bosons without higher bands
• The dominant scattering channel induced by two-body collision of D-band atoms in triangular optical lattice
• Quantum computation toolbox for decoherence-free qubits using multi-band alkali atoms
• Selective population of a large-angular-momentum state in an optical lattice
• Transport of ultracold atoms in superpositions of S- and D-band states in a moving optical lattice
• Orbital degree of freedom in artificial electron lattices on metal surface
• Topological phonons in arrays of ultracold dipolar particles
• Spin-Induced Orbital Frustration in a Hexagonal Optical Lattice
• A mono-atomic orbital-based 1D topological crystalline insulator
• Metastable order protected by destructive many-body interference
• Nonlinear Switch and Spatial Lattice Solitons of Photonic s-p Orbitals
• Programmable Hamiltonian engineering with quadratic quantum Fourier transform
• Intertwined Space-Time Symmetry, Orbital Magnetism and Dynamical Berry Curvature in a Circularly Shaken Optical Lattice
• Quantum Adiabatic Doping with Incommensurate Optical Lattices
• Crystalline Splitting of $d$ Orbitals in Regular Optical Lattices
• Emergent $s$-wave interactions in orbitally active quasi-two-dimensional Fermi gases
• 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
• Tailoring higher-order topological phases via orbital hybridization
• Controlling higher-orbital quantum phases of ultracold atoms via coupling to optical cavities
• Emergence of the Unconventional Type-II Nambu-Goldstone Modes with Topological Origin in Bose Superfluids
• Collective P-Wave Orbital Dynamics of Ultracold Fermions
• Atomic Ramsey interferometry with S- and D-band in a triangular optical lattice
• Bosons condensed in two modes with flavour-changing interaction
• Competing order in two-band Bose-Hubbard chains with extended-range interactions
• Topological phases of spinless $p$-orbital fermions in zigzag optical lattices
• Magnetic effects on Chern Kondo insulator
• Fast and selective inter-band transfer of ultracold atoms in bichromatic lattices permitting Dirac points
• Direct Visualization of a Disorder Driven Electronic Smectic Phase in Nonsymmorphic Square-Net Semimetal GdSbTe
• Third-order Orbital Corner State and its Realization in Acoustic Crystals
• Simulating the Palmer-Chalker state in an orbital superfluid
• Making artificial ${\text{p}}_{x,y}$-orbital honeycomb electron lattice on metal surface
• Many-body phases from effective geometrical frustration and long-range interactions in a subwavelength lattice
• Quantum Adiabatic Doping for Atomic Fermi-Hubbard Quantum Simulations
• Bosonic Weyl excitations induced by $p$-orbital interactions in a cubic optical lattice
• Bound states in two-dimensional Fermi systems with quadratic band touching
• Condensed matter physics in big discrete time crystals
• Generating scalable entanglement of ultracold bosons in superlattices through resonant shaking
• Mapping atomic trapping in an optical superlattice onto the libration of a planar rotor in electric fields
• Vortex bound states in dimerized $\pi$-flux optical lattices: characterization, state preparation and current measurement
• Chiral Spin Condensation in a One-Dimensional Optical Lattice
• Orbital Optical Raman Lattice
• Collisional scattering of strongly interacting D-band Feshbach molecules in optical lattices
• Efficient shortcuts-to-adiabaticity for loading an ultracold Fermi gas into higher orbital bands of one-dimensional optical lattice
• Suppression of scattering from slow to fast subsystems and application to resonantly Floquet-driven impurities in strongly interacting systems