Atomic quantum simulator for lattice gauge theories and ring exchange models

Abstract

We present the design of a ring exchange interaction in cold atomic gases subjected to an optical lattice using well understood tools for manipulating and controlling such gases. The strength of this interaction can be tuned independently and describes the correlated hopping of two bosons. We discuss a setup where this coupling term may allows for the realization and observation of exotic quantum phases, including a deconfined insulator described by the Coulomb phase of a three-dimensional U(1) lattice gauge theory.

4 pages, 2 figures

References in corpus (16)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Cold bosonic atoms in optical lattices
• "Deconfined" quantum critical points
• Controlling Spin Exchange Interactions of Ultracold Atoms in Optical Lattices
• Transition from a strongly interacting 1D superfluid to a Mott insulator
• The cold atom Hubbard toolbox
• An RVB phase in the triangular lattice quantum dimer model
• Pyrochlore Photons: The U(1) Spin Liquid in a S=1/2 Three-Dimensional Frustrated Magnet
• Coherent transport of neutral atoms in spin-dependent optical lattice potentials
• Fractionalization in an Easy-axis Kagome Antiferromagnet
• Strongly inhibited transport of a 1D Bose gas in a lattice
• Atomic quantum gases in Kagomé lattices
• Ring exchange, the Bose metal, and bosonization in two dimensions
• Three dimensional resonating valence bond liquids and their excitations
• Exotic order in simple models of bosonic systems
• Striped phase in a quantum XY-model with ring exchange

Cited by in corpus (137)

• Quantum Simulation
• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• Quantum States and Phases in Driven Open Quantum Systems with Cold Atoms
• A toolbox for lattice spin models with polar molecules
• Quantum Algorithms for Quantum Field Theories
• Simulating Lattice Gauge Theories within Quantum Technologies
• Quantum Simulations of Lattice Gauge Theories using Ultracold Atoms in Optical Lattices
• Ultracold Quantum Gases and Lattice Systems: Quantum Simulation of Lattice Gauge Theories
• Atomic Quantum Simulation of Dynamical Gauge Fields coupled to Fermionic Matter: From String Breaking to Evolution after a Quench
• Atomic Quantum Simulation of U(N) and SU(N) Non-Abelian Lattice Gauge Theories
• Lattice gauge theories simulations in the quantum information era
• Simulating Compact Quantum Electrodynamics with ultracold atoms: Probing confinement and nonperturbative effects
• Simulating lattice gauge theories on a quantum computer
• Quantum Computing for High-Energy Physics: State of the Art and Challenges. Summary of the QC4HEP Working Group
• Optical Abelian Lattice Gauge Theories
• Confinement and lattice QED electric flux-tubes simulated with ultracold atoms
• Multi-flavor bosonic Hubbard models in the first excited Bloch band of an optical lattice
• Gauging quantum states: from global to local symmetries in many-body systems
• Staggered-Vortex Superfluid of Ultracold Bosons in an Optical Lattice
• Towards analog quantum simulations of lattice gauge theories with trapped ions
• Observation of Four-body Ring-exchange Interactions and Anyonic Fractional Statistics
• Towards Quantum Simulating QCD
• Two-dimensional Lattice Gauge Theories with Superconducting Quantum Circuits
• Creating and probing the Sachdev-Ye-Kitaev model with ultracold gases: Towards experimental studies of quantum gravity
• Deconfined criticality flow in the Heisenberg model with ring-exchange interactions
• Emerging 2D Gauge theories in Rydberg configurable arrays
• Many-Body Quantum Electrodynamics Networks: Non-Equilibrium Condensed Matter Physics with Light
• Deconfined criticality, runaway flow in the two-component scalar electrodynamics and weak first-order superfluid-solid transitions
• Quantum Simulation of Lattice Gauge Theories in more than One Space Dimension -- Requirements, Challenges, Methods
• Majorana edge states in two atomic wires coupled by pair-hopping
• d-wave resonating valence bond states of fermionic atoms in optical lattices
• Majorana modes and $p$-wave superfluids for fermionic atoms in optical lattices
• Fractonic Superfluids
• Emerging Bosons with Three-Body Interactions from Spin-1 Atoms in Optical Lattices
• Quantum Simulation of the Abelian-Higgs Lattice Gauge Theory with Ultracold Atoms
• Generation and Detection of Atomic Spin Entanglement in Optical Lattices
• The quantum sine-Gordon model with quantum circuits
• State-dependent, addressable subwavelength lattices with cold atoms
• Toward scalable simulations of Lattice Gauge Theories on quantum computers
• Minimum instances of topological matter in an optical plaquette
• Designing spin-1 lattice models using polar molecules
• Generic mixed columnar-plaquette phases in Rokhsar-Kivelson models
• Real time dynamics and proposal for feasible experiments of lattice gauge-Higgs model simulated by cold atoms
• The (2+1)-d U(1) Quantum Link Model Masquerading as Deconfined Criticality
• SU(N) quantum spin models: A variational wavefunction study
• Toolbox for Abelian lattice gauge theories with synthetic matter
• Atomic Quantum Simulation of Lattice Gauge-Higgs Model: Higgs Couplings and Emergence of Exact Local Gauge Symmetry
• Quantum dynamics in splitting a harmonically trapped Bose-Einstein condensate by an optical lattice: Truncated Wigner approximation
• From Quantum Link Models to D-Theory: A Resource Efficient Framework for the Quantum Simulation and Computation of Gauge Theories
• Interaction-Dependent Photon-Assisted Tunneling in Optical Lattices: A Quantum Simulator of Strongly-Correlated Electrons and Dynamical Gauge Fields
• Gross-Neveu-Wilson model and correlated symmetry-protected topological phases
• Interfaces, Strings, and a Soft Mode in the Square Lattice Quantum Dimer Model
• Bose Metals and Insulators on Multi-Leg Ladders with Ring Exchange
• Emergence of Artificial Photons in an Optical Lattice
• Quantum simulation of interacting high-dimensional systems: the influence of noise
• Ground state cooling of atoms in optical lattices
• Fractonic superfluids. (II). Condensing subdimensional particles
• ${\mathbb{Z}}_N$ gauge theories coupled to topological fermions: QED${}_2$ with a quantum-mechanical $\theta$ angle
• Scalable cold-atom quantum simulator for two-dimensional QED
• Encoding a one-dimensional topological gauge theory in a Raman-coupled Bose-Einstein condensate
• Tunable Confinement-Deconfinement Transition in an Ultracold Atom Quantum Simulator
• Anisotropic quantum quench in the presence of frustration or background gauge fields: A probe of bulk currents and topological chiral edge modes
• Emergent Gauge Theory in Rydberg Atom Arrays
• Robust topological order in fermionic ${\mathbb{Z}}_2$ gauge theories: from Aharonov-Bohm instability to soliton-induced deconfinement
• Quantum Electronic Circuit Simulation of Generalized sine-Gordon Models
• Quantum sensors for the generating functional of interacting quantum field theories
• Visualizing Dynamics of Charges and Strings in (2+1)D Lattice Gauge Theories
• Driven harmonic oscillator as a quantum simulator for open systems
• Selected topics of quantum computing for nuclear physics
• Preparation of Decoherence Free Cluster States with Optical Superlattices
• Light scattering detection of quantum phases of ultracold atoms in optical lattices
• Strain and pseudo-magnetic fields in optical lattices from density-assisted tunneling
• Dynamic Kosterlitz-Thouless transition in 2D Bose mixtures of ultra-cold atoms
• Quantum spin liquid in a kagome lattice spin-1/2 XY model with four-site exchange
• Canonical Momenta in Digitized SU(2) Lattice Gauge Theory: Definition and Free Theory
• Characterization of Bose-Hubbard Models with Quantum Non-demolition Measurements
• Chiral phases of two-dimensional hard-core bosons with frustrated ring-exchange
• Hidden order and symmetry protected topological states in quantum link ladders
• Tunable Polarons in Bose-Einstein Condensates
• Quantum Simulation of Tunneling in Small Systems
• Doped Singlet-Pair Crystal in the Hubbard model on the checkerboard lattice
• Different models of gravitating Dirac fermions in optical lattices
• Atomic quantum simulation of a three-dimensional U(1) gauge-Higgs model
• Cooling toolbox for atoms in optical lattices
• Duality, Magnetic space group and their applications to quantum phases and phase transitions on bipartite lattices in several experimental systems
• Engineering exotic phases for topologically-protected quantum computation by emulating quantum dimer models
• Exciting a d-density wave in an optical lattice with driven tunneling
• Experimental Demonstration of Quantum Tunneling in IBM Quantum Computer
• Quantum algorithms for scientific computing
• Atomic Quantum Technologies for Quantum Matter and Fundamental Physics Applications
• Exotic paired phases in ladders with spin-dependent hopping
• Extended Coulomb liquid of paired hardcore boson model on a pyrochlore lattice
• Optical Bragg, atom Bragg and cavity QED detections of quantum phases and excitation spectra of ultracold atoms in bipartite and frustrated optical lattices
• Quantum optics and frontiers of physics: The third quantum revolution
• Quantum Simulation of Klein Gordon Equation and Observation of Klein Paradox in IBM Quantum Computer
• Renormalization, duality, and phase transitions in two- and three-dimensional quantum dimer models
• Circuit-based digital adiabatic quantum simulation and pseudoquantum simulation as new approaches to lattice gauge theory
• Impact of the transverse direction on the many-body tunneling dynamics in a two-dimensional bosonic Josephson junction
• Lieb Schultz Mattis-Type Theorems and Other Non-perturbative Results for Strongly Correlated Systems with Conserved Dipole Moments
• Finite temperature quantum simulation of stabilizer Hamiltonians
• Genetic braid optimization: A heuristic approach to compute quasiparticle braids
• Synthetic ${\mathbb{Z}}_2$ gauge theories based on parametric excitations of trapped ions
• Periodic driving induced helical Floquet channels with ultracold atoms in momentum space
• Spin-1 Haldane phase in a chain of Rydberg atoms
• Topological matter with collective encoding and Rydberg blockade
• Superfluid and supersolid phases of lattice bosons with ring-exchange interaction
• Multiparticle interactions for ultracold atoms in optical tweezers: Cyclic ring-exchange terms
• Large-Scale $2+1$D $\mathrm{U}(1)$ Gauge Theory with Dynamical Matter in a Cold-Atom Quantum Simulator
• Exotic Mott phases of the extended t--J model on the checkerboard lattice at commensurate densities
• Quantum phases, Supersolids and quantum phase transitions of interacting bosons in frustrated lattices
• Hierarchical Proliferation of Higher-Rank Symmetry Defects in Fractonic Superfluids
• Engineering Quantum Spin Liquids and Many-Body Majorana States with a Driven Superconducting Box Circuit
• Characterizing symmetry breaking patterns in a lattice by dual vortex degree of freedoms
• Quantum metrology with precision reaching beyond-$1/N$ scaling through $N$-probe entanglement generating interactions
• Ramping fermions in optical lattices across a Feshbach resonance
• D-wave superconductivity in boson+fermion dimer models
• Exact solution of an su(n) spin torus
• Ising Meson Spectroscopy on a Noisy Digital Quantum Simulator
• Near-threshold bound states of the dipole-dipole interaction
• Fractional Excitations in Cold Atomic Gases
• Quantum Electronic Circuits for Multicritical Ising Models
• Collective modes in a Dirac insulator with short range interactions
• Quantum algorithm for the Laughlin wave function
• Control of spontaneous emission of qubits from weak to strong coupling
• Circulating Current States in Bilayer Fermionic and Bosonic Systems
• Cold atoms meet lattice gauge theory
• Long-range Ising interactions mediated by $\lambda {\varphi }^4$ fields: probing the renormalisation of sound in crystals of trapped ions
• Emulating Non-Abelian Topological Matter in Cold Atom Optical Lattices
• Spacetime Supersymmetry in the Truncated Lattice Schwinger Model
• Fluctuation-Driven Vortex Fractionalization in Topologically Ordered Superfluids of Cold Atoms
• First-principle construction of U(1) symmetric matrix product states
• Magnetic Flux Tuning of Spin Chirality in Mott Insulators with Ring Exchanges
• The Bose-Hubbard model on a triangular lattice with diamond ring-exchange
• Quantum simulation of fermionic non-Abelian lattice gauge theories in $(2+1)$D with built-in gauge protection
• Topological crystals and soliton lattices in a Gross-Neveu model with Hilbert-space fragmentation
• Quantum Simulation of Non-Abelian Lattice Gauge Theories
• Ground-state phase diagram of quantum link electrodynamics in $(2+1)$-d