Ultracold Dipolar Gases in Optical Lattices

Abstract

This tutorial is a theoretical work, in which we study the physics of ultra-cold dipolar bosonic gases in optical lattices. Such gases consist of bosonic atoms or molecules that interact via dipolar forces, and that are cooled below the quantum degeneracy temperature, typically in the nK range. When such a degenerate quantum gas is loaded into an optical lattice produced by standing waves of laser light, new kinds of physical phenomena occur. These systems realize then extended Hubbard-type models, and can be brought to a strongly correlated regime. The physical properties of such gases, dominated by the long-range, anisotropic dipole-dipole interactions, are discussed using the mean-field approximations, and exact Quantum Monte Carlo techniques (the Worm algorithm).

56 pages, 26 figures

References in corpus (30)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• A High Phase-Space-Density Gas of Polar Molecules
• Bose-Einstein condensation of chromium
• Strongly correlated 2D quantum phases with cold polar molecules: controlling the shape of the interaction potential
• Observation of dipole-dipole interaction in a degenerate quantum gas
• Stabilizing a purely dipolar quantum gas against collapse
• Orbital superfluidity in the $P$-band of a bipartite optical square lattice
• Ultracold dense gas of deeply bound heteronuclear molecules
• Quantum phase transition in a two-dimensional system of dipoles
• Supersolids versus phase separation in two-dimensional lattice bosons
• Quantum Monte Carlo simulations of confined bosonic atoms in optical lattices
• Metastable states of a gas of dipolar bosons in a 2D optical lattice
• Magneto-electrostatic trapping of ground state OH molecules
• Quantum fluids of self-assembled chains of polar molecules
• Heteronuclear molecules in an optical dipole trap
• Novel quantum phases of dipolar Bose gases in optical lattices
• Cold Atoms and Molecules in Self-Assembled Dipolar Lattices
• Density wave and supersolid phases of correlated bosons in an optical lattice
• Complete devil's staircase and crystal--superfluid transitions in a dipolar XXZ spin chain: A trapped ion quantum simulation
• OH hyperfine ground state: from precision measurement to molecular qubits
• Mott-insulator phases of non-locally coupled 1D dipolar Bose gases
• Quantum phase transitions of polar molecules in bilayer systems
• Spin relaxation and band excitation of a dipolar BEC in 2D optical lattices
• Resonant Einstein-de Haas effect in a rubidium condensate
• Creating a supersolid in one-dimensional Bose mixtures
• Ground state of low dimensional dipolar gases: linear and zigzag chains
• Vortices in Atomic Bose-Einstein Condensates in the Large Gas Parameter Region
• Weakly interacting two-dimensional system of dipoles: limitations of mean-field theory
• Equation of State and Phases of Polarized Unitary Fermi Gas

Cited by in corpus (106)

• Condensed Matter Theory of Dipolar Quantum Gases
• Ultracold dense samples of dipolar RbCs molecules in the rovibrational and hyperfine ground state
• Non-standard Hubbard models in optical lattices: a review
• Dipolar physics: A review of experiments with magnetic quantum gases
• Creation of an ultracold gas of ground-state ${}^{23}{\mathrm{Na}}^{87}\mathrm{Rb}$ molecules
• Spread of correlations in long-range interacting quantum systems
• Extended Bose-Hubbard Models with Ultracold Magnetic Atoms
• Long-range interacting quantum systems
• Manipulation of Molecules with Electromagnetic Fields
• Long-Lived Ultracold Molecules with Electric and Magnetic Dipole Moments
• Suppressing the loss of ultracold molecules via the continuous quantum Zeno effect
• Preparation of entangled and antiferromagnetic states by dissipative Rydberg pumping
• Topological phases in ultracold polar-molecule quantum magnets
• Far from equilibrium quantum magnetism with ultracold polar molecules
• Chiral Mott Insulators, Meissner Effect, and Laughlin States in Quantum Ladders
• Quantum Engineering of a Low-Entropy Gas of Heteronuclear Bosonic Molecules in an Optical Lattice
• Cluster Gutzwiller method for bosonic lattice systems
• Counterdiabatic Optimised Local Driving
• Many-body localization and quantum ergodicity in disordered long-range Ising models
• Kitaev honeycomb and other exotic spin models with polar molecules
• Doublon dynamics in the extended Fermi Hubbard model
• Extended Bose-Hubbard model with dipolar excitons
• Infrared-dressed entanglement of cold open-shell polar molecules for universal matchgate quantum computing
• Dipolar Collisions of Ultracold Ground-state Bosonic Molecules
• Universal dimerized quantum droplets in a one-dimensional lattice
• High-resolution Internal State Control of Ultracold ${}^{23}$Na${}^{87}$Rb Molecules
• Spontaneous Crystallization And Filamentation Of Solitons In Dipolar Condensates
• Mott insulator of strongly interacting two-dimensional excitons
• Observation of interspecies Feshbach resonances in an ultracold ${}^{39}$K-${}^{133}$Cs mixture and refinement of interaction potentials
• Quantum phases of tilted dipolar bosons in two-dimensional optical lattice
• Probing the interaction between Rydberg-dressed atoms through interference
• Non-adiabatic preparation of spin crystals with ultracold polar molecules
• Superfluid drag in the two-component Bose-Hubbard model
• Dipolar-Induced Resonance for Ultracold Bosons in a Quasi-1D Optical Lattice
• Modulational instabilities in lattices with power-law hoppings and interactions
• Activity-induced phase transition in a quantum many-body system
• Tuning the Quantum Phase Transition of Bosons in Optical Lattices via Periodic Modulation of s-Wave Scattering Length
• Quantum Phases of Dipolar Bosons in Bilayer Geometry
• Implementation of Z-vector method in the relativistic coupled cluster framework to calculate first order energy derivatives: Application to SrF molecule
• Ultralong-range order in the Fermi-Hubbard model with long-range interactions
• Singlet Pathway to the Ground State of Ultracold Polar Molecules
• Few-body bound states of two-dimensional bosons
• Mean-field phases of an ultracold gas in a quasicrystalline potential
• XXZ spin-1/2 representation of a finite-U Bose-Hubbard chain at half-integer filling
• Superfluidity and Density Order in a Bilayer Extended Hubbard Model
• Quantum phase transition of a two-dimensional quadrupolar system
• Polar bosons in one-dimensional disordered optical lattices
• Improved numerical methods for infinite spin chains with long-range interactions
• Interaction-induced coherence among polar bosons stored in triple-well potentials
• Recent progress on quantum simulations of non-standard Bose-Hubbard models
• Engineered Nearest-Neighbour Interactions with Doubly Modulated Optical Lattices
• Quantum Phases from Competing Van der Waals and Dipole-Dipole Interactions of Rydberg Atoms
• Permanent Electric Dipole Moments of Alkaline Earth Monofluorides: Interplay of Relativistic and Correlation Effects
• Many-site coherence revivals in the extended Bose-Hubbard model and the Gutzwiller approximation
• Spontaneous time-reversal symmetry breaking for spinless fermions on a triangular lattice
• Strongly dipolar gases in a one-dimensional lattice: Bloch oscillations and matter-wave localization
• Permanent Electric Dipole Moment of Strontium Monofluoride as a Test of the Accuracy of a Relativistic Coupled Cluster Method
• Defect-Driven Superfluid Crossover for Two-Dimensional Dipolar Excitons Trapped at Thermodynamic Equilibrium
• A new setup for experiments with ultracold Dysprosium atoms
• Interaction-driven Lifshitz transition with dipolar fermions in optical lattices
• Population imbalance in the extended Fermi-Hubbard model
• Observation of Algebraic Time Order for Two-Dimensional Dipolar Excitons
• Staggered Ground States in an Optical Lattice
• Novel quantum phases of two-component bosons with pair hopping in synthetic dimension
• Ab initio calculation of Hubbard parameters for Rydberg-dressed atoms in an one-dimensional optical lattice
• Berry Curvature of interacting bosons in a honeycomb lattice
• Unconventional symmetries of Fermi liquid and Cooper pairing properties with electric and magnetic dipolar fermions
• Interaction between polar molecules subject to a far-off-resonant optical field: Entangled dipoles up- or down-holding each other
• Effect of optical lattice potentials on the vortices in rotating dipolar Bose-Einstein condensates
• Dynamically induced doublon repulsion in the Fermi-Hubbard model probed by a single-particle density of states
• Low-energy doublons in the ac-driven two-species Hubbard model
• Potential energy curves for the interaction of Ag(5s) and Ag(5p) with noble gas atoms
• Ab initio calculations of permanent dipole moments and dipole polarizabilities of alkaline-earth monofluorides
• Quantum phases of bosonic chiral molecules in helicity lattices
• Realizing multiband states with ultracold dipolar quantum simulators
• Ground state properties of a multi-component bosonic mixture: a Gutzwiller mean-field study
• Phase diagram of two-component dipolar fermions in one-dimensional optical lattices
• Superfluidity of a dipolar Fermi gas in 2D optical lattices bilayer
• Anomalous supersolidity in a weakly interacting dipolar Bose mixture on a square lattice
• Many-body dynamical localization and thermalization
• Phase transition of ultracold atoms immersed in a BEC vortex lattice
• Unveiling Eigenstate Thermalization for Non-Hermitian systems
• Bound states and Cooper pairs of molecules in 2D optical lattices bilayer
• Characterization of the lowest excited-state ro-vibrational level of ${}^{23}$Na${}^{87}$Rb
• Many-body localization in a quantum gas with long-range interactions and linear external potential
• Density-dependent hopping for ultracold atoms immersed in a Bose-Einstein-condensate vortex lattice
• Identifying strongly correlated supersolid states on the optical lattice by quench-induced π-states
• Dipolar Bose-Hubbard Model in finite-size real-space cylindrical lattices
• A Comparative Analysis of Non-relativistic and Relativistic Calculations of Electric Dipole Moments and Polarizabilities of Heteronuclear Alkali Dimers
• Electric Dipole Moments and Static Dipole Polarizabilities of Alkali--Alkaline-Earth Molecules: Non-relativistic versus relativistic coupled-cluster theory analyses
• Competing order in two-band Bose-Hubbard chains with extended-range interactions
• Thermally induced localization of dopants in a magnetic spin ladder
• Relativistic calculations of molecular electric dipole moments of singly charged aluminium monohalides
• Generalized effective-potential Landau theory for the two-dimensional extended Bose-Hubbard model
• Revealing the topological nature of the bond order wave in a strongly correlated quantum system
• Topological order-by-disorder in orbitally degenerate dipolar bosons in zig-zag lattice
• $Z_2\times Z_2$ symmetry and $Z_4$ Berry phase of bosonic ladder
• Vortices in fermion droplets with repulsive dipole-dipole interactions
• Half-integer Mott-insulator phases in the imbalanced honeycomb lattice
• Connecting Topological Anderson and Mott Insulators in Disordered Interacting Fermionic Systems
• Few-body bound states of bosonic mixtures in two-dimensional optical lattices
• Excitation spectrum and momentum distribution of the ionic Bose-Hubbard model
• Emergent supercounterfluid and quantum phase diagram of two-component interacting bosons in one-dimensional optical lattice
• Asymptotic behavior of correlation functions of one-dimensional polar-molecules on optical lattices
• Extended Bose-Hubbard Model on Small Grids: Exact Diagonalization and Monte Carlo Studies
• Local Hamiltonians for one-dimensional critical models