The Anyon Hubbard Model in One-Dimensional Optical Lattices

Abstract

Raman-assisted hopping may be used to realize the anyon Hubbard model in one-dimensional optical lattices. We propose a feasible scenario that significantly improves the proposal of [T. Keilmann et al., Nature Commun. 2, 361 (2011)], allowing as well for an exact realization of the two-body hard-core constraint, and for controllable effective interactions without the need of Feshbach resonances. We show that the combination of anyonic statistics and two-body hard-core constraint leads to a rich ground state physics, including Mott insulators with attractive interactions, pair superfluids, dimer phases, and multicritical points. Moreover, the anyonic statistics results in a novel two-component superfluid of holon and doublon dimers, characterized by a large but finite compressibility and a multipeaked momentum distribution, which may be easily revealed experimentally.

5 pages, 4 figures

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Cited by in corpus (86)

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• Observation of density-dependent gauge fields in a Bose-Einstein condensate based on micromotion control in a shaken two-dimensional lattice
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• Realization of a density-dependent Peierls phase in a synthetic, spin-orbit coupled Rydberg system
• Realizing a 1D topological gauge theory in an optically dressed BEC
• Interaction-induced non-Hermitian topological phases from a dynamical gauge field
• Toolbox for Abelian lattice gauge theories with synthetic matter
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• Engineering interactions and anyon statistics by multicolor lattice-depth modulations
• Ground-state properties of anyons in a one-dimensional lattice
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• Quantum Simulation Meets Nonequilibrium Dynamical Mean Field Theory: Exploring the Periodically Driven, Strongly Correlated Fermi-Hubbard Model
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• Encoding a one-dimensional topological gauge theory in a Raman-coupled Bose-Einstein condensate
• Asymmetric Particle Transport and Light-Cone Dynamics Induced by Anyonic Statistics
• Anyonic tight-binding models of parafermions and of fractionalized fermions
• Different lattice geometries with synthetic dimension
• Density-dependent synthetic magnetism for ultracold atoms in optical lattices
• Critical points of the anyon-Hubbard model
• Universal duality transformations in interacting one-dimensional quantum systems
• Ground State Properties of the One-Dimensional Unconstrained Pseudo-Anyon Hubbard Model
• Anyonic Haldane insulator in one dimension
• Perfect spin filter by periodic drive of a ferromagnetic quantum barrier
• The Aharonov-Bohm effect in mesoscopic Bose-Einstein condensates
• One-particle density matrix of a trapped Lieb-Liniger anyonic gas
• One-body reduced density matrix of trapped impenetrable anyons in one dimension
• Topological Exchange Statistics in One Dimension
• Non-equilibrium Floquet steady states of time-periodic driven Luttinger liquids
• Probing the exchange statistics of one-dimensional anyon models
• Correlation functions of one-dimensional strongly interacting two-component gases
• Strongly repulsive anyons in one dimension
• Ground state properties of hard-core anyons in a harmonic potential
• Synthetic Flux Attachment
• Generalized lattice Wilson-Dirac fermions in (1+1) dimensions for atomic quantum simulation and topological phases
• Large time and long distance asymptotics of the thermal correlators of the impenetrable anyonic lattice gas
• Dynamical suppression of many-body non-Hermitian skin effect in Anyonic systems
• Topological Phases of Fermionic Ladders with Periodic Magnetic Fields
• Correlated Spin-Flip Tunneling in a Fermi Lattice Gas
• Coupling ultracold matter to dynamical gauge fields in optical lattices: From flux-attachment to Z2 lattice gauge theories
• Creating anyons from photons using a nonlinear resonator lattice subject to dynamic modulation
• Three-body interaction effects on the ground state of one-dimensional anyons
• Statistically related many-body localization in the one-dimensional anyon Hubbard model
• Floquet-Induced Superfluidity with Periodically Modulated Interactions of Two-Species Hardcore Bosons in a One-dimensional Optical Lattice
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• Inhomogeneous hard-core bosonic mixture with checkerboard supersolid phase: Quantum and thermal phase diagram
• Density-induced geometric frustration of ultra-cold bosons in optical lattices
• Statistically induced topological phase transitions in a one-dimensional superlattice anyon-Hubbard model
• Exact Dynamical Correlations of Hard-Core Anyons in One-Dimensional Lattices
• Topological phases of lattice bosons with a dynamical gauge field
• Statistics tuned entanglement of the boundary modes in coupled Su-Schrieffer-Heeger chains
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• Modeling free anyons at the bosonic and fermionic ends
• Anyon optics with time-of-flight two-particle interference of double-well-trapped interacting ultracold atoms
• Quantum computation from fermionic anyons on a 1D lattice
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• Exact spectral function of the Tonks-Girardeau gas at finite temperature
• Quantum walk of two anyons across a statistical boundary
• Statistics-tuned phases of pseudofermions in one dimension
• One-dimensional hard-core anyon gas in a harmonic trap at finite temperature
• Quasimomentum distribution and expansion of an anyonic gas
• Density dependent gauge field inducing emergent SSH physics, solitons and condensates in a discrete nonlinear Schrödinger equation
• Determinant formula for the field form factor in the anyonic Lieb-Liniger model
• Quantum Alchemy and Universal Orthogonality Catastrophe in One-Dimensional Anyons
• Classical Phase Space Crystals in an Open Environment
• Coherence Properties of the Repulsive Anyon-Hubbard Dimer
• Approaching off-diagonal long-range order for 1+1-dimensional relativistic anyons
• Beyond braid statistics: Constructing a lattice model for anyons with exchange statistics intrinsic to one dimension
• Bosonization study of a generalized statistics model with four Fermi points
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• Off-site trimer superfluid on a one-dimensional optical lattice
• Quantum phase diagram for two species hardcore bosons in one-dimensional optical lattices with the resonantly driven Rabi frequency
• Chirally-protected state manipulation by tuning one-dimensional statistics
• Gauge transformations and Galilean covariance in nonlinear gauge-coupled quantum fluids
• Manipulating the Mott lobes: optical lattice bosons coupled to an array of atomic quantum dots
• Universal properties and dynamical bosonization of strongly interacting one-dimensional anyons
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• Boson-Anyon-Fermion Mapping and Anyon Construction in One Dimension
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• One-dimensional anyons in relativistic field theory
• Encoding a topological gauge theory on a ring-shaped Raman-coupled Bose gas
• Tunable anyonic permeability across ${\mathbb{Z}}_2$ spin liquid junctions
• Necessity of orthogonal basis vectors for the two-anyon problem in one-dimensional lattice