Engineering interactions and anyon statistics by multicolor lattice-depth modulations

Abstract

We show that a multicolor modulation of the depth of an optical lattice allows for a flexible independent control of correlated hopping, occupation-dependent gauge fields, effective on-site interactions without Feshbach resonances, and nearest-neighbor interactions. As a result, the lattice-depth modulation opens the possibility of engineering with minimal experimental complexity a broad class of lattice models in current experiments with ultra-cold atoms, including Hubbard models with correlated hopping, peculiar extended models, and two-component anyon-Hubbard models.

arXiv comment5 pages, 4 figures

References in corpus (47)

• The density-matrix renormalization group in the age of matrix product states
• Entanglement Entropy and Quantum Field Theory
• Entanglement in quantum critical phenomena
• Experimental realisation of the topological Haldane model
• Realization of the Hofstadter Hamiltonian with ultracold atoms in optical lattices
• Realizing the Harper Hamiltonian with Laser-Assisted Tunneling in Optical Lattices
• Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms
• Classical simulation of infinite-size quantum lattice systems in one spatial dimension
• Periodically-driven quantum systems: Effective Hamiltonians and engineered gauge fields
• Observation of chiral edge states with neutral fermions in synthetic Hall ribbons
• Quantum simulation of frustrated magnetism in triangular optical lattices
• Dynamical control of matter-wave tunneling in periodic potentials
• Visualizing edge states with an atomic Bose gas in the quantum Hall regime
• Tunable gauge potential for neutral and spinless particles in driven lattices
• Superfluid-insulator transition in a periodically driven optical lattice
• Ultracold Quantum Gases and Lattice Systems: Quantum Simulation of Lattice Gauge Theories
• Ultracold Fermi Gases with Emergent SU(N) Symmetry
• Coherent control of dressed matter waves
• Single Particle Tunneling in Strongly Driven Double Well Potentials
• In situ observation of strongly interacting ferromagnetic domains in a shaken optical lattice
• Statistically induced Phase Transitions and Anyons in 1D Optical Lattices
• Floquet engineering of correlated tunneling in the Bose-Hubbard model with ultracold atoms
• Observation of an orbital interaction-induced Feshbach resonance in 173-Yb
• Photon-Assisted Tunneling in a Biased Strongly Correlated Bose Gas
• Many-Body Coherent Destruction of Tunneling
• The Anyon Hubbard Model in One-Dimensional Optical Lattices
• Phase diagram of the one-dimensional half-filled extended Hubbard model
• Ultracold Lattice Gases with Periodically Modulated Interactions
• Fermionization and bosonization of expanding 1D anyonic fluids
• Simulating an interacting gauge theory with ultracold Bose gases
• Density-Dependent Synthetic Gauge Fields Using Periodically Modulated Interactions
• Triplet superconductivity in quasi one-dimensional systems
• Quantum simulation of correlated-hopping models with fermions in optical lattices
• Effective three-body interactions via photon-assisted tunneling in an optical lattice
• Ground-state properties of hard-core anyons in one-dimensional optical lattices
• Ground-State Phase Diagram of the 1D t-J model
• Exploring Unconventional Hubbard Models with Doubly Modulated Lattice Gases
• Anomalous flux quantization in a Hubbard ring with correlated hopping
• Dynamical properties of hard-core anyons in one-dimensional optical lattices
• Phase Diagrams from Topological Transitions: The Hubbard Chain with Correlated Hopping
• Compactons in Nonlinear Schrödinger Lattices with Strong Nonlinearity Management
• Interaction-Dependent Photon-Assisted Tunneling in Optical Lattices: A Quantum Simulator of Strongly-Correlated Electrons and Dynamical Gauge Fields
• Ground-state properties of anyons in a one-dimensional lattice
• Quantum Walks of Two Interacting Anyons in 1D Optical Lattices
• A new class of exactly solvable interacting fermion models in one dimension
• Density-dependent synthetic magnetism for ultracold atoms in optical lattices
• Bethe Ansatz solution of a new class of Hubbard-type models

Cited by in corpus (36)

• Atomic quantum gases in periodically driven optical lattices
• 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
• Symmetry-broken states in a system of interacting bosons on a two-leg ladder with a uniform Abelian gauge field
• 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
• Suppressing dissipation in a Floquet-Hubbard system
• Phases of Attractive Fermi Gases in Synthetic Dimensions
• Ground State Properties of the One-Dimensional Unconstrained Pseudo-Anyon Hubbard Model
• 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
• Large time and long distance asymptotics of the thermal correlators of the impenetrable anyonic lattice gas
• Engineered Nearest-Neighbour Interactions with Doubly Modulated Optical Lattices
• Three-body interaction effects on the ground state of one-dimensional anyons
• Generation of atypical hopping and interactions by kinetic driving
• Non-equilibrium dynamics of the anyonic Tonks-Girardeau gas at finite temperature
• Statistically induced topological phase transitions in a one-dimensional superlattice anyon-Hubbard model
• Modeling free anyons at the bosonic and fermionic ends
• Quantum computation from fermionic anyons on a 1D lattice
• Quantum walk of two anyons across a statistical boundary
• Exact spectral function of the Tonks-Girardeau gas at finite temperature
• Statistics-tuned phases of pseudofermions in one dimension
• Modulation-induced long-range magnon bound states in one-dimensional optical lattices
• Tunneling Spectroscopy in Superconducting Circuit Lattices
• Bosonization study of a generalized statistics model with four Fermi points
• Anderson-Mott transition in a disordered Hubbard model with correlated hopping
• Exact spectral function and nonequilibrium dynamics of the strongly interacting Hubbard model
• Chirally-protected state manipulation by tuning one-dimensional statistics
• Gauge transformations and Galilean covariance in nonlinear gauge-coupled quantum fluids
• Fermionic anyons: entanglement and quantum computation from a resource-theoretic perspective
• Nonequilibrium dynamics in one-dimensional strongly interacting two-component gases
• Manipulating multimer propagation using lattice modulation
• Quench Dynamics of Anyon Tonks-Girardeau Gases
• Effect of phase string on single-hole dynamics in the two-leg Hubbard ladder