Quantum Simulations of Lattice Gauge Theories using Ultracold Atoms in Optical Lattices

Abstract

Can high energy physics be simulated by low-energy, non-relativistic, many-body systems, such as ultracold atoms? Such ultracold atomic systems lack the type of symmetries and dynamical properties of high energy physics models: in particular, they manifest neither local gauge invariance nor Lorentz invariance, which are crucial properties of the quantum field theories which are the building blocks of the standard model of elementary particles. However, it turns out, surprisingly, that there are ways to configure atomic system to manifest both local gauge invariance and Lorentz invariance. In particular, local gauge invariance can arise either as an effective, low energy, symmetry, or as an "exact" symmetry, following from the conservation laws in atomic interactions. Hence, one could hope that such quantum simulators may lead to new type of (table-top) experiments, that shall be used to study various QCD phenomena, as the confinement of dynamical quarks, phase transitions, and other effects, which are inaccessible using the currently known computational methods. In this report, we review the Hamiltonian formulation of lattice gauge theories, and then describe our recent progress in constructing quantum simulation of Abelian and non-Abelian lattice gauge theories in 1+1 and 2+1 dimensions using ultracold atoms in optical lattices.

A review; 55 pages, 14 figures

References in corpus (50)

• Many-Body Physics with Ultracold Gases
• 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
• Computational complexity and fundamental limitations to fermionic quantum Monte Carlo simulations
• Single-Spin Addressing in an Atomic Mott Insulator
• Pyrochlore Photons: The U(1) Spin Liquid in a S=1/2 Three-Dimensional Frustrated Magnet
• Non-Abelian gauge potentials for ultra-cold atoms with degenerate dark states
• The `Higgs' Amplitude Mode at the Two-Dimensional Superfluid-Mott Insulator Transition
• Site-resolved Imaging of Fermionic Lithium-6 in an Optical Lattice
• Dirac Equation and Quantum Relativistic Effects in a Single Trapped Ion
• Atomic Quantum Simulation of U(N) and SU(N) Non-Abelian Lattice Gauge Theories
• A cold-atom quantum simulator for SU(2) Yang-Mills lattice gauge theory
• Implementation of Spin Hamiltonians in Optical Lattices
• Observing Zitterbewegung in Ultracold Atoms
• A Formulation of Lattice Gauge Theories for Quantum Simulations
• Quantum simulation of the Klein paradox with trapped ions
• Experimental demonstration of single-site addressability in a two-dimensional optical lattice
• Atomic quantum simulator for lattice gauge theories and ring exchange models
• Optical Abelian Lattice Gauge Theories
• Quantum simulation of cosmic inflation in two-component Bose-Einstein condensates
• Wilson Fermions and Axion Electrodynamics in Optical Lattices
• Cold atom simulation of interacting relativistic quantum field theories
• Simulating 2+1d Lattice QED with dynamical matter using ultracold atoms
• Gauging quantum states: from global to local symmetries in many-body systems
• Tensor Networks for Lattice Gauge Theories with continuous groups
• Dirac Equation For Cold Atoms In Artificial Curved Spacetimes
• Two-dimensional Lattice Gauge Theories with Superconducting Quantum Circuits
• Quantum simulation of the Schwinger model: A study of feasibility
• Non-Abelian string breaking phenomena with Matrix Product States
• Ultracold atomic gases in non-Abelian gauge potentials: The case of constant Wilson loop
• Lattice Gauge Tensor Networks
• Ultracold atomic gas in non-Abelian "magnetic" fields: the quantum Hall effect supremacy
• Thermal evolution of the Schwinger model with Matrix Product Operators
• Detection of acceleration radiation in a Bose-Einstein condensate
• Discrete Abelian Gauge Theories for Quantum Simulations of QED
• Emerging Bosons with Three-Body Interactions from Spin-1 Atoms in Optical Lattices
• Simulating Wess-Zumino Supersymmetry Model in Optical Lattices
• Spin dynamics for bosons in an optical lattice
• Disorder versus the Mermin-Wagner-Hohenberg effect: From classical spin systems to ultracold atomic gases
• Minimum instances of topological matter in an optical plaquette
• Quantum simulation of non-trivial topology
• Double and negative reflection of cold atoms in non-Abelian gauge potentials
• Supersymmetry and Goldstino-like Mode in Bose-Fermi Mixtures
• Fermionic Projected Entangled Pair States and Local U(1) Gauge Theories
• Real time dynamics and proposal for feasible experiments of lattice gauge-Higgs model simulated by cold atoms
• Loop Approach to Lattice Gauge Theories
• Emergence of Artificial Photons in an Optical Lattice
• The "Majoranon" and how to realize it in a tabletop experiment
• Topological Wilson-loop area law manifested using a superposition of loops
• Simulation of gauge transformations on systems of ultracold atoms

Cited by in corpus (319)

• Real-time dynamics of lattice gauge theories with a few-qubit quantum computer
• Simulating Lattice Gauge Theories within Quantum Technologies
• Measuring the scrambling of quantum information
• Tools for quantum simulation with ultracold atoms in optical lattices
• Quantum-Classical Computation of Schwinger Model Dynamics using Quantum Computers
• Floquet approach to ${\mathbb{Z}}_2$ lattice gauge theories with ultracold atoms in optical lattices
• Observation of gauge invariance in a 71-site Bose-Hubbard quantum simulator
• Realization of density-dependent Peierls phases to engineer quantized gauge fields coupled to ultracold matter
• Simulating quantum many-body dynamics on a current digital quantum computer
• Lattice gauge theories and string dynamics in Rydberg atom quantum simulators
• Lattice gauge theories simulations in the quantum information era
• SU(2) non-Abelian gauge field theory in one dimension on digital quantum computers
• Realizing a scalable building block of a U(1) gauge theory with cold atomic mixtures
• Artificial gauge fields in materials and engineered systems
• A Trailhead for Quantum Simulation of SU(3) Yang-Mills Lattice Gauge Theory in the Local Multiplet Basis
• Vortex solitons: Old results and new perspectives
• Quantum Computing for High-Energy Physics: State of the Art and Challenges. Summary of the QC4HEP Working Group
• Tailoring quantum gases by Floquet engineering
• U(1) Wilson lattice gauge theories in digital quantum simulators
• Genuine quantum correlations in quantum many-body systems: a review of recent progress
• Digitization of Scalar Fields for Quantum Computing
• General Methods for Digital Quantum Simulation of Gauge Theories
• Real-time Dynamics in U(1) Lattice Gauge Theories with Tensor Networks
• Digital lattice gauge theories
• Hardware efficient quantum simulation of non-abelian gauge theories with qudits on Rydberg platforms
• Search for Efficient Formulations for Hamiltonian Simulation of non-Abelian Lattice Gauge Theories
• SU(2) hadrons on a quantum computer
• Quantum Simulating Nature's Fundamental Fields
• Towards analog quantum simulations of lattice gauge theories with trapped ions
• Digital Quantum Simulation of the Schwinger Model and Symmetry Protection with Trapped Ions
• Multidimensional solitons: Well-established results and novel findings
• Gluon Field Digitization for Quantum Computers
• Real Time Dynamics and Confinement in the ${\mathbb{Z}}_n$ Schwinger-Weyl lattice model for 1+1 QED
• Observation of Four-body Ring-exchange Interactions and Anyonic Fractional Statistics
• Creating and probing the Sachdev-Ye-Kitaev model with ultracold gases: Towards experimental studies of quantum gravity
• Digital quantum simulation of ${\mathbb{Z}}_2$ lattice gauge theories with dynamical fermionic matter
• Emerging 2D Gauge theories in Rydberg configurable arrays
• Neutral Atom Quantum Computing Hardware: Performance and End-User Perspective
• Charged fermions coupled to ${\mathbb{Z}}_2$ gauge fields: Superfluidity, confinement and emergent Dirac fermions
• Density Induced Phase Transitions in the Schwinger Model: A Study with Matrix Product States
• Quantum Simulation of Quantum Field Theory in the Light-Front Formulation
• Quantum Simulation of Lattice Gauge Theories in more than One Space Dimension -- Requirements, Challenges, Methods
• Dynamical topological transitions in the massive Schwinger model with a θ-term
• Efficient Basis Formulation for (1+1)-Dimensional SU(2) Lattice Gauge Theory: Spectral calculations with matrix product states
• Quantum simulation of the universal features of the Polyakov loop
• Preparations for Quantum Simulations of Quantum Chromodynamics in 1+1 Dimensions: (I) Axial Gauge
• Implementing quantum electrodynamics with ultracold atomic systems
• Fermionic quantum processing with programmable neutral atom arrays
• Chiral condensate in the Schwinger model with Matrix Product Operators
• Solving Gauss's Law on Digital Quantum Computers with Loop-String-Hadron Digitization
• Confined phases of one-dimensional spinless fermions coupled to $Z_2$ gauge theory
• Hamiltonian simulation of the Schwinger model at finite temperature
• Reliability of lattice gauge theories
• Realizing a 1D topological gauge theory in an optically dressed BEC
• Analog Quantum Simulation of (1+1)D Lattice QED with Trapped Ions
• Oracles for Gauss's law on digital quantum computers
• Lattice Quantum Electrodynamics in (3+1)-dimensions at finite density with Tensor Networks
• Quantum Simulation of the Abelian-Higgs Lattice Gauge Theory with Ultracold Atoms
• Tensor lattice field theory with applications to the renormalization group and quantum computing
• Phase Transitions in $Z_n$ Gauge Models: Towards Quantum Simulations of the Schwinger-Weyl QED
• Real-time chiral dynamics from a digital quantum simulation
• Confinement and Entanglement Dynamics on a Digital Quantum Computer
• Preparation of the SU(3) Lattice Yang-Mills Vacuum with Variational Quantum Methods
• Finite-density phase diagram of a (1+1)-d non-abelian lattice gauge theory with tensor networks
• Removing Staggered Fermionic Matter in $U(N)$ and $SU(N)$ Lattice Gauge Theories
• A simple fermionic model of deconfined phases and phase transitions
• Eliminating fermionic matter fields in lattice gauge theories
• Confinement and string breaking for QED${}_2$ in the Hamiltonian picture
• Single-particle digitization strategy for quantum computation of a ${\varphi }^4$ scalar field theory
• A gauge redundancy-free formulation of compact QED with dynamical matter for quantum and classical computations
• Dynamical quantum phase transitions in $U(1)$ quantum link models
• Quantum simulation of $(1+1)$-dimensional U(1) gauge-Higgs model on a lattice by cold Bose gases
• Tensor renormalization group study of the non-Abelian Higgs model in two dimensions
• Scattering of mesons in quantum simulators
• Realization of Qi-Wu-Zhang model in spin-orbit-coupled ultracold fermions
• Meissner-like effect for synthetic gauge field in multimode cavity QED
• Fermion-qudit quantum processors for simulating lattice gauge theories with matter
• Primitive Quantum Gates for an SU(2) Discrete Subgroup: BT
• Prethermalization in one-dimensional quantum many-body systems with confinement
• Toolbox for Abelian lattice gauge theories with synthetic matter
• A qubit regularization of the $O(3)$ sigma model
• Tuning the Topological $\theta$-Angle in Cold-Atom Quantum Simulators of Gauge Theories
• Toward Quantum Computing Phase Diagrams of Gauge Theories with Thermal Pure Quantum States
• Universal features of the Abelian Polyakov loop in 1+1 dimension
• Simulating Hadronic Physics on NISQ devices using Basis Light-Front Quantization
• Classically emulated digital quantum simulation for screening and confinement in the Schwinger model with a topological term
• Primitive Quantum Gates for Dihedral Gauge Theories
• High-Energy Collision of Quarks and Mesons in the Schwinger Model: From Tensor Networks to Circuit QED
• Framework for simulating gauge theories with dipolar spin systems
• Two-dimensional quantum-link lattice Quantum Electrodynamics at finite density
• Improved Hamiltonians for Quantum Simulations
• Stabilizing lattice gauge theories through simplified local pseudo generators
• Toward Quantum Simulations of ${\mathbb{Z}}_2$ Gauge Theory Without State Preparation
• Polymer Physics by Quantum Computing
• Homogeneous Floquet time crystal protected by gauge invariance
• From Quantum Link Models to D-Theory: A Resource Efficient Framework for the Quantum Simulation and Computation of Gauge Theories
• Quantum simulation of quantum field theories as quantum chemistry
• SO(3) "Nuclear Physics" with ultracold Gases
• ${\mathbb{Z}}_2$ lattice gauge theories and Kitaev's toric code: A scheme for analog quantum simulation
• Local readout and control of current and kinetic energy operators in optical lattices
• A quantum cellular automaton for one-dimensional QED
• Loop-string-hadron formulation of an SU(3) gauge theory with dynamical quarks
• The nonlinear semiclassical dynamics of the unbalanced, open Dicke model
• Quantum Simulation of Light-Front Parton Correlators
• Dynamics of domain walls in a Bose-Einstein condensate driven by density-dependent gauge field
• Confinement and Mott transitions of dynamical charges in 1D lattice gauge theories
• Lattice Renormalization of Quantum Simulations
• ${\mathbb{Z}}_N$ gauge theories coupled to topological fermions: QED${}_2$ with a quantum-mechanical $\theta$ angle
• Enhancing disorder-free localization through dynamically emergent local symmetries
• CP(N-1) Quantum Field Theories with Alkaline-Earth Atoms in Optical Lattices
• Encoding a one-dimensional topological gauge theory in a Raman-coupled Bose-Einstein condensate
• Interrelated Thermalization and Quantum Criticality in a Lattice Gauge Simulator
• Photon-mediated Stroboscopic Quantum Simulation of a ${\mathbb{Z}}_2$ Lattice Gauge Theory
• Unruh effect for interacting particles with ultracold atoms
• Quantum Simulation of Chiral Phase Transitions
• An Algorithm for Quantum Computation of Particle Decays
• Towards the continuum limit of a $(1+1)$d quantum link Schwinger model
• Tunable Confinement-Deconfinement Transition in an Ultracold Atom Quantum Simulator
• Observing dynamical currents in a non-Hermitian momentum lattice
• Scattering wave packets of hadrons in gauge theories: Preparation on a quantum computer
• Cavity-enhanced optical lattices for scaling neutral atom quantum technologies to higher qubit numbers
• Gauge invariant quantum circuits for $U(1)$ and Yang-Mills lattice gauge theories
• Two-dimensional ${\mathbb{Z}}_2$ lattice gauge theory on a near-term quantum simulator: variational quantum optimization, confinement, and topological order
• Loops and Strings in a Superconducting Lattice Gauge Simulator
• Robust topological order in fermionic ${\mathbb{Z}}_2$ gauge theories: from Aharonov-Bohm instability to soliton-induced deconfinement
• Quantum algorithm for Feynman loop integrals
• From the Jaynes-Cummings model to non-Abelian gauge theories: a guided tour for the quantum engineer
• Experimental extraction of the quantum effective action for a non-equilibrium many-body system
• Engineering a U(1) lattice gauge theory in classical electric circuits
• Quantum nonreciprocal interactions via dissipative gauge symmetry
• Quantum Simulation of Abelian Lattice Gauge Theories via State-Dependent Hopping
• A method to efficiently simulate the thermodynamical properties of the Fermi-Hubbard model on a quantum computer
• Real-time dynamics of Chern-Simons fluctuations near a critical point
• Observation of string breaking on a (2 + 1)D Rydberg quantum simulator
• Resource-Efficient Quantum Simulation of Lattice Gauge Theories in Arbitrary Dimensions: Solving for Gauss' Law and Fermion Elimination
• Variational quantum simulation of U(1) lattice gauge theories with qudit systems
• Lattice Gauge Theories and Spin Models
• Theoretical methods to design and test quantum simulators for the compact Abelian Higgs model
• Quantum sensors for the generating functional of interacting quantum field theories
• Digital quantum simulation of a (1+1)D SU(2) lattice gauge theory with ion qudits
• Simple Hamiltonian for Quantum Simulation of Strongly Coupled 2+1D SU(2) Lattice Gauge Theory on a Honeycomb Lattice
• Simulating Effective QED on Quantum Computers
• Visualizing Dynamics of Charges and Strings in (2+1)D Lattice Gauge Theories
• Finding the ground state of a lattice gauge theory with fermionic tensor networks: a $2+1d$ ${\mathbb{Z}}_2$ demonstration
• Mott transition in the $\pi$-flux SU($4$) Hubbard model on a square lattice
• Real-time dynamics in 2+1d compact QED using complex periodic Gaussian states
• Classification of Matrix Product States with a Local (Gauge) Symmetry
• Selected topics of quantum computing for nuclear physics
• Periodically driven Rydberg chains with staggered detuning
• Primitive Quantum Gates for an SU(3) Discrete Subgroup: $\Sigma (36\times 3)$
• Glassy Dynamics from Quark Confinement: Atomic Quantum Simulation of Gauge-Higgs Model on Lattice
• Diagnosis of information scrambling from Hamiltonian evolution under decoherence
• Strain and pseudo-magnetic fields in optical lattices from density-assisted tunneling
• Non-Fermi liquids from kinetic constraints in tilted optical lattices
• Perspective on new implementations of atomtronic circuits
• Canonical Momenta in Digitized SU(2) Lattice Gauge Theory: Definition and Free Theory
• Fractionalized Metal in a Falicov-Kimball Model
• Lattice gauge theories in the presence of a linear gauge-symmetry breaking
• Hidden order and symmetry protected topological states in quantum link ladders
• From asymptotic freedom to $\theta$ vacua: Qubit embeddings of the O(3) nonlinear $\sigma$ model
• A Cold-Atom Particle Collider
• Hamiltonians and gauge-invariant Hilbert space for lattice Yang-Mills-like theories with finite gauge group
• Robustness of gauge-invariant dynamics against defects in ultracold-atom gauge theories
• Loop-string-hadron approach to SU(3) lattice Yang-Mills theory: I. Hilbert space of a trivalent vertex
• Probing the conformal Calabrese-Cardy scaling with cold atoms
• Synthetic Flux Attachment
• Native three-body interaction in superconducting circuits
• Different models of gravitating Dirac fermions in optical lattices
• Gluon Digitization via Character Expansion for Quantum Computers
• Quantum simulator of link models using spinor dipolar ultracold atoms
• Hardware-efficient fermionic simulation with a cavity-QED system
• $Abinitio$ derivation of lattice gauge theory dynamics for cold gases in optical lattices
• Emergence of Gauss' Law in a $Z_2$ Lattice Gauge Theory
• Atomic quantum simulation of a three-dimensional U(1) gauge-Higgs model
• Detecting the critical point through entanglement in Schwinger model
• Two-dimensional Yukawa interaction driven by a nonlocal-Proca quantum electrodynamics
• Toward QCD on Quantum Computer: Orbifold Lattice Approach
• Emergent gauge symmetries -- making symmetry as well as breaking it
• Critical properties of the Néel/algebraic-spin-liquid transition
• Quantum variational approach to lattice gauge theory at nonzero density
• Gauss Law, Minimal Coupling and Fermionic PEPS for Lattice Gauge Theories
• Clock model interpolation and symmetry breaking in O(2) models
• Nonequilibrium phases of ultracold bosons with cavity-induced dynamic gauge fields
• Sampling Rare Conformational Transitions with a Quantum Computer
• Protecting local and global symmetries in simulating 1+1-D non-abelian gauge theories
• Loop-Free Tensor Networks for High-Energy Physics
• Ergodicity Breaking Under Confinement in Cold-Atom Quantum Simulators
• Design and construction of a quantum matter synthesizer
• Circuit-based digital adiabatic quantum simulation and pseudoquantum simulation as new approaches to lattice gauge theory
• Spin exchange-enabled quantum simulator for large-scale non-Abelian gauge theories
• Dynamical localization transition of string breaking in quantum spin chains
• An efficient finite-resource formulation of non-Abelian lattice gauge theories beyond one dimension
• Local Manipulation and Measurement of Nonlocal Many-Body Operators in Lattice Gauge Theory Quantum Simulators
• SimuQ: A Framework for Programming Quantum Hamiltonian Simulation with Analog Compilation
• A variational Monte Carlo algorithm for lattice gauge theories with continuous gauge groups: a study of (2+1)-dimensional compact QED with dynamical fermions at finite density
• Discrete-time quantum walks as fermions of lattice gauge theory
• Synthetic non-Abelian Electric Fields and Spin-Orbit Coupling in Photonic Synthetic Dimensions
• Reliability of lattice gauge theories in the thermodynamic limit
• Dynamical gauge fields with bosonic codes
• Vortices and composite order in $\mathrm{SU}(N)$ theories coupled to Abelian gauge field
• Thermalization of Yang-Mills theory in a $(3+1)$ dimensional small lattice system
• Production of lattice gauge-Higgs topological states in measurement-only quantum circuit
• Fermion production at the boundary of an expanding universe: a cold-atom gravitational analogue
• Ground state modulations in the $\mathbb{C}{P}^{N-1}$ model
• Quantum Many-Body Scarring in a Non-Abelian Lattice Gauge Theory
• Three-dimensional Abelian and non-Abelian gauge Higgs theories
• Synthetic ${\mathbb{Z}}_2$ gauge theories based on parametric excitations of trapped ions
• Dyonic zero-energy modes
• Finite Temperature Phase Transition in a Cross-Dimensional Triangular Lattice
• ${\mathbb{Z}}_N$ lattice gauge theory in a ladder geometry
• Fermionic wave packet scattering: a quantum computing approach
• Multiple Transitions of Coupled Atom-Molecule Bosonic Mixtures in Two Dimensions
• String tension and robustness of confinement properties of in the Schwinger-Thirring model
• Topological chiral currents in the Gross-Neveu model extension
• Randomized measurement protocols for lattice gauge theories
• Measurement-based quantum simulation of Abelian lattice gauge theories
• The phase diagram of quantum chromodynamics in one dimension on a quantum computer
• Multiparticle interactions for ultracold atoms in optical tweezers: Cyclic ring-exchange terms
• Reconstructing effective Hamiltonians from nonequilibrium (pre-)thermal steady states
• Large-Scale $2+1$D $\mathrm{U}(1)$ Gauge Theory with Dynamical Matter in a Cold-Atom Quantum Simulator
• Scalable, ab initio protocol for quantum simulating SU($N$)$\times$U(1) Lattice Gauge Theories
• Many-Body Localization from Dynamical Gauge Fields
• Solving the quantum dimer and six vertex models one electric field line at a time
• Novel Trotter formulas for digital quantum simulation
• Highly-symmetric random one-dimensional spin models
• Simulating quantum transport with ultracold atoms and interaction effects
• Toward hybrid quantum simulations with qubits and qumodes on trapped-ion platforms
• Loop Feynman integration on a quantum computer
• Robustness of quantum correlation in quantum energy teleportation
• Stochastic dynamics of a few sodium atoms in a cold potassium cloud
• Tunable photon-mediated interactions between spin-1 systems
• Wilson Loops and Area Laws in Lattice Gauge Theory Tensor Networks
• Anomaly inflow, dualities, and quantum simulation of abelian lattice gauge theories induced by measurements
• Non-thermal dynamics in a spin-1/2 lattice Schwinger model
• State preparation of lattice field theories using quantum optimal control
• Real-time correlators in 3+1D thermal lattice gauge theory
• Quantum simulation of lattice gauge theories via deterministic duality transformations assisted by measurements
• Instabilities of interacting matter waves in optical lattices with Floquet driving
• Quantum mean estimation for lattice field theory
• Lattice regularizations of $\theta$ vacua: Anomalies and qubit models
• Orthogonal metal in the Hubbard model with liberated slave spins
• Dynamically Generated Synthetic Electric Fields for Photons
• Scattering-based geometric shaping of photon-photon interactions
• Superfluid transition temperature and fluctuation theory of spin-orbit and Rabi-coupled fermions with tunable interactions
• Many-Body Non-Hermitian Skin Effect with Exact Steady States in the Dissipative Quantum Link Model
• A Multi-Purpose Platform for Analog Quantum Simulation
• From the Quantum Breakdown Model to the Lattice Gauge Theory
• Doubled Lattice Chern-Simons-Yang-Mills Theories with Discrete Gauge Group
• Emergent SU(N) symmetry in disordered SO(N) spin chains
• Quantum Simulation of non-Abelian Lattice Gauge Theories: a variational approach to ${\mathbb{D}}_8$
• Simulating Quantum Mechanics with a $\theta$-term and an 't Hooft Anomaly on a Synthetic Dimension
• Discrete Abelian lattice gauge theories on a ladder and their dualities with quantum clock models
• Testing CPT violation, entanglement and gravitational interactions in particle mixing with trapped ions
• Non-cancellation of the parity anomaly in the strong-field regime of QED${}_{2+1}$
• Quantum Hall effect induced by electron-phonon interaction
• Dynamics of a Lattice Gauge Theory with Fermionic Matter -- Minimal Quantum Simulator with Time-Dependent Impurities in Ultracold Gases
• Laser-painted cavity-mediated interactions in a quantum gas
• 3+1 Dimension Schwinger Pair Production with Quantum Computers
• The rotor Jackiw-Rebbi model: a cold-atom approach to chiral symmetry restoration and quark confinement
• Quantum sampling for the Euclidean path integral of lattice gauge theory
• Gauge-Symmetry Protection Using Single-Body Terms
• Observing quantum many-body scars in random quantum circuits
• Effective multi-body SU($N$)-symmetric interactions of ultracold fermionic atoms on a 3-D lattice
• Topological phase and lattice structures in spin chain models
• Topological pump of $SU(Q)$ quantum chain and Diophantine equation
• Quantum Simulation of the First-Quantized Pauli-Fierz Hamiltonian
• Individually tunable tunnelling coefficients in optical lattices using local periodic driving
• The Casimir effect for nonlinear sigma models and the Mermin-Wagner-Hohenberg-Coleman theorem
• A single-particle framework for unitary lattice gauge theory in discrete time
• Local vs non-local dynamics in cavity-coupled Rydberg atom arrays
• Kibble-Zurek mechanism in quantum link model
• Approaching off-diagonal long-range order for 1+1-dimensional relativistic anyons
• Towards Quantum Simulating Non-Abelian Gauge Theories
• Large-$S$ and tensor-network methods for strongly-interacting topological insulators
• Digital quantum simulation and Pseudoquantum Simulation of ${\mathbb{Z}}_2$ Gauge Higgs Model
• Quantum Simulation with Gauge Fixing: from Ising Lattice Gauge Theory to Dynamical Flux Model
• Experimental Realization of Special-Unitary Operations in Classical Mechanics by Nonadiabatic Evolutions
• "Charged" phonons in an external field: a QED analog with Bose-Einstein condensates
• Dirac particle dynamics of a superconducting circuit
• Cold atoms meet lattice gauge theory
• Quantum simulation of quantum mechanical system with spatial noncommutativity
• Emerging (2+1)D massive graviton in graphene-like systems
• Negative string tension of higher-charge Schwinger model via digital quantum simulation
• Dynamical Generation of Synthetic Electric Fields for Photons in the Quantum Regime
• Quantum phase diagram for two species hardcore bosons in one-dimensional optical lattices with the resonantly driven Rabi frequency
• Quantum clustering and jet reconstruction at the LHC
• Controlling Collective Phenomena Via the Quantum State of Interaction-Mediators: Changing the Criticality of Photon-Mediated Superconductivity Via Fock States of Light
• Mass-Assisted Local Deconfinement in a Confined ${\mathbb{Z}}_2$ Lattice Gauge Theory
• Quantum many-body simulation of finite-temperature systems with sampling a series expansion of a quantum imaginary-time evolution
• Quantum Simulation of QED in Coulomb Gauge
• Renormalized dual basis for scalable simulations of 2+1D compact quantum electrodynamics
• Bosons on a rotating ring with free boundary conditions
• Critical exponents for the valence-bond-solid transition in lattice quantum electrodynamics
• Achieving the quantum field theory limit in far-from-equilibrium quantum link models
• Digital Quantum Simulation of Hadronization in Yang-Mills Theory
• Tuning long-range fermion-mediated interactions in cold-atom quantum simulators
• Thermal masses and trapped-ion quantum spin models: a self-consistent approach to Yukawa-type interactions in the $\lambda {\varphi }^4$ model
• Density-and-phase domain walls in a condensate with dynamical gauge potentials
• Spatiotemporal Quenches in Long-Range Hamiltonians
• One-dimensional $Z_2$ lattice gauge theory in periodic Gauss-law sectors
• Quantum simulation of fermionic non-Abelian lattice gauge theories in $(2+1)$D with built-in gauge protection
• Partial confinement in a quantum-link simulator
• Engineering a Josephson junction chain for the simulation of the clock model
• Stability of the symmetry-protected topological phase and Ising transitions in a disordered U(1) quantum link model on a ladder
• Ultracold atomic lattice systems for simulating topological phases: A review
• Reformulation of gauge theories in terms of gauge invariant fields
• Robust quantum many-body scars in lattice gauge theories
• Nonperturbative signatures of fractons in the twisted multiflavor Schwinger Model
• Gapless deconfined phase in a ${\mathbb{Z}}_N$ symmetric Hamiltonian created in a cold-atom setup
• Ground-state phase diagram of quantum link electrodynamics in $(2+1)$-d
• Miscibility-Immiscibility transition of strongly interacting bosonic mixtures in optical lattices
• Real-space blocking of qubit variables on parallel lattice gauge theory links for quantum simulation
• Mean Field Approaches to Lattice Gauge Theories: A Review
• High-Precision Phase Control of an Optical Lattice with up to 50 dB Noise Suppression
• Matrix Product State on a Quantum Computer
• Topological crystals and soliton lattices in a Gross-Neveu model with Hilbert-space fragmentation
• Topological quantum electrodynamics in synthetic non-Abelian gauge fields
• Effect of mediated interactions on a Hubbard chain in mixed-dimensional fermionic cold atoms
• Phase structure of the one-dimensional ${\mathbb{Z}}_2$ lattice gauge theory with second nearest-neighbor interactions