Floquet realization and signatures of one-dimensional anyons in an optical lattice

Abstract

We propose a simple scheme for realizing the physics of 1D anyons with ultracold bosonic atoms in an optical lattice. It relies on lattice-shaking-induced resonant tunneling against potential off-sets created by a combination of a lattice tilt and strong on-site interactions. No lasers additional to those used for the creation of the optical lattice are required. We also discuss experimental signatures of the continuous interpolation between bosons and fermions when the statistical angle $\theta$ is varied from 0 to $\pi$. Since the anyonic momentum distribution is not measurable in the bosonic representation of the anyon model, we propose to use Friedel oscillations in small systems as an alternative probe.

7 pages, 5 figures

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• Exploring Unconventional Hubbard Models with Doubly Modulated Lattice Gases

Cited by in corpus (67)

• Atomic quantum gases in periodically driven optical lattices
• Floquet approach to ${\mathbb{Z}}_2$ lattice gauge theories with ultracold atoms in optical lattices
• Topological quantum matter with cold atoms
• Realization of density-dependent Peierls phases to engineer quantized gauge fields coupled to ultracold matter
• Tailoring quantum gases by Floquet engineering
• Observation of density-dependent gauge fields in a Bose-Einstein condensate based on micromotion control in a shaken two-dimensional lattice
• Realizing a 1D topological gauge theory in an optically dressed BEC
• Controlling the Floquet state population and observing micromotion in a periodically driven two-body quantum system
• Exact dynamics following an interaction quench in a one-dimensional anyonic gas
• Bosonic continuum theory of one-dimensional lattice anyons
• Quantum Simulation Meets Nonequilibrium Dynamical Mean Field Theory: Exploring the Periodically Driven, Strongly Correlated Fermi-Hubbard Model
• 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
• Ground State Properties of the One-Dimensional Unconstrained Pseudo-Anyon Hubbard Model
• Anyonic Haldane insulator in one dimension
• Anyons from Three-Body Hard-Core Interactions in One Dimension
• One-particle density matrix of a trapped Lieb-Liniger anyonic gas
• Topological Exchange Statistics in One Dimension
• Non-equilibrium Floquet steady states of time-periodic driven Luttinger liquids
• Strain and pseudo-magnetic fields in optical lattices from density-assisted tunneling
• Probing the exchange statistics of one-dimensional anyon models
• Correlation functions of one-dimensional strongly interacting two-component gases
• Second quantization of Leinaas-Myrheim anyons in one dimension and their relation to the Lieb-Liniger model
• Strongly repulsive anyons in one dimension
• Large time and long distance asymptotics of the thermal correlators of the impenetrable anyonic lattice gas
• Synthetic Flux Attachment
• Floquet Topological Polaritons in Semiconductor Microcavities
• Dynamical suppression of many-body non-Hermitian skin effect in Anyonic systems
• Engineered Nearest-Neighbour Interactions with Doubly Modulated Optical Lattices
• Creating anyons from photons using a nonlinear resonator lattice subject to dynamic modulation
• Unified Light-Matter Floquet Theory and its Application to Quantum Communication
• Coupling ultracold matter to dynamical gauge fields in optical lattices: From flux-attachment to Z2 lattice gauge theories
• Three-body interaction effects on the ground state of one-dimensional anyons
• Statistically related many-body localization in the one-dimensional anyon Hubbard model
• Generation of atypical hopping and interactions by kinetic driving
• Non-equilibrium dynamics of the anyonic Tonks-Girardeau gas at finite temperature
• Floquet-Induced Superfluidity with Periodically Modulated Interactions of Two-Species Hardcore Bosons in a One-dimensional Optical Lattice
• Inhomogeneous hard-core bosonic mixture with checkerboard supersolid phase: Quantum and thermal phase diagram
• Novel quantum phases of two-component bosons with pair hopping in synthetic dimension
• Statistically induced topological phase transitions in a one-dimensional superlattice anyon-Hubbard model
• Exact Dynamical Correlations of Hard-Core Anyons in One-Dimensional Lattices
• Rapidly-oscillating scatteringless non-Hermitian potentials and the absence of Kapitza stabilization
• Anyon optics with time-of-flight two-particle interference of double-well-trapped interacting ultracold atoms
• Modeling free anyons at the bosonic and fermionic ends
• ${\mathbb{Z}}_2$ phases and Majorana spectroscopy in paired Bose-Hubbard chains
• Quantum computation from fermionic anyons on a 1D lattice
• Statistics-tuned phases of pseudofermions in one dimension
• Anyonic phase transitions in the 1D extended Hubbard model with fractional statistics
• One-dimensional hard-core anyon gas in a harmonic trap at finite temperature
• Driven Bose-Hubbard Model with a Parametrically Modulated Harmonic Trap
• Quasimomentum distribution and expansion of an anyonic gas
• Exact spectral function of the Tonks-Girardeau gas at finite temperature
• Quantum walk of two anyons across a statistical boundary
• Coherence Properties of the Repulsive Anyon-Hubbard Dimer
• Determinant formula for the field form factor in the anyonic Lieb-Liniger model
• Quantum Alchemy and Universal Orthogonality Catastrophe in One-Dimensional Anyons
• Emergence of anyonic correlations from spin and charge dynamics in one dimension
• Approaching off-diagonal long-range order for 1+1-dimensional relativistic anyons
• Two-site anyonic Josephson junction
• 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
• Chirally-protected state manipulation by tuning one-dimensional statistics
• Quantum phase diagram for two species hardcore bosons in one-dimensional optical lattices with the resonantly driven Rabi frequency
• Gauge transformations and Galilean covariance in nonlinear gauge-coupled quantum fluids
• One-dimensional anyons in relativistic field theory
• Quench Dynamics of Anyon Tonks-Girardeau Gases
• Encoding a topological gauge theory on a ring-shaped Raman-coupled Bose gas