Simulating 2+1d Lattice QED with dynamical matter using ultracold atoms

Abstract

We suggest a method to simulate lattice compact Quantum Electrodynamics (cQED) using ultracold atoms in optical lattices, which includes dynamical Dirac fermions in 2+1 dimensions. This allows to test dynamical effects of confinement as well as 2d flux loops deformations and breaking, and to observe Wilson-loop area-law.

Includes supplementary material. Added references, minor modifications

References in corpus (16)

• A quantum gas microscope - detecting single atoms in a Hubbard regime optical lattice
• Computational complexity and fundamental limitations to fermionic quantum Monte Carlo simulations
• Single-Spin Addressing in an Atomic Mott Insulator
• Influence of nearly resonant light on the scattering length in low-temperature atomic gases
• Atomic Quantum Simulation of Dynamical Gauge Fields coupled to Fermionic Matter: From String Breaking to Evolution after a Quench
• Quantum Link Models: A Discrete Approach to Gauge Theories
• Simulating Compact Quantum Electrodynamics with ultracold atoms: Probing confinement and nonperturbative effects
• Wilson Fermions and Axion Electrodynamics in Optical Lattices
• Cold atom simulation of interacting relativistic quantum field theories
• Confinement and lattice QED electric flux-tubes simulated with ultracold atoms
• An Optical-Lattice-Based Quantum Simulator For Relativistic Field Theories and Topological Insulators
• Dirac Equation For Cold Atoms In Artificial Curved Spacetimes
• Detection of vacuum entanglement in a linear ion trap
• Emerging Bosons with Three-Body Interactions from Spin-1 Atoms in Optical Lattices
• Optical Lattice Hamiltonians for Relativistic Quantum Electrodynamics
• Gauge fields emerging from time reversal symmetry breaking for spin-5/2 fermions in a honeycomb lattice

Cited by in corpus (111)

• Light-induced gauge fields for ultracold atoms
• Quantum Simulations of Lattice Gauge Theories using Ultracold Atoms in Optical Lattices
• Ultracold Quantum Gases and Lattice Systems: Quantum Simulation of Lattice Gauge Theories
• Quantum Simulation for High Energy Physics
• 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
• Lattice gauge theories simulations in the quantum information era
• Simulations of non-Abelian gauge theories with optical lattices
• Thermalization dynamics of a gauge theory on a quantum simulator
• Quantum Computing for High-Energy Physics: State of the Art and Challenges. Summary of the QC4HEP Working Group
• A Formulation of Lattice Gauge Theories for Quantum Simulations
• Quantum simulations of gauge theories with ultracold atoms: local gauge invariance from angular momentum conservation
• Review on novel methods for lattice gauge theories
• Standard Model Physics and the Digital Quantum Revolution: Thoughts about the Interface
• Quantum simulation of a lattice Schwinger model in a chain of trapped ions
• Real-time Dynamics in U(1) Lattice Gauge Theories with Tensor Networks
• Digital lattice gauge theories
• Superconducting Circuits for Quantum Simulation of Dynamical Gauge Fields
• Towards simulating 2D effects in lattice gauge theories on a quantum computer
• Towards analog quantum simulations of lattice gauge theories with trapped ions
• Towards Quantum Simulating QCD
• Observation of density-dependent gauge fields in a Bose-Einstein condensate based on micromotion control in a shaken two-dimensional lattice
• Two-dimensional Lattice Gauge Theories with Superconducting Quantum Circuits
• Digital quantum simulation of ${\mathbb{Z}}_2$ lattice gauge theories with dynamical fermionic matter
• Non-Abelian $SU(2)$ Lattice Gauge Theories in Superconducting Circuits
• Digital quantum simulation of lattice gauge theories in three spatial dimensions
• Non-Abelian string breaking phenomena with Matrix Product States
• Quantum Simulation of Lattice Gauge Theories in more than One Space Dimension -- Requirements, Challenges, Methods
• Density-Dependent Synthetic Gauge Fields Using Periodically Modulated Interactions
• Efficient Basis Formulation for (1+1)-Dimensional SU(2) Lattice Gauge Theory: Spectral calculations with matrix product states
• Quantum simulation of lattice gauge theories using Wilson fermions
• Preparations for Quantum Simulations of Quantum Chromodynamics in 1+1 Dimensions: (I) Axial Gauge
• Hamiltonian simulation of the Schwinger model at finite temperature
• Quantum Simulation of the Abelian-Higgs Lattice Gauge Theory with Ultracold Atoms
• Preparations for Quantum Simulations of Quantum Chromodynamics in 1+1 Dimensions: (II) Single-Baryon $\beta$-Decay in Real Time
• Confinement and string breaking for QED${}_2$ in the Hamiltonian picture
• Gauge protection in non-Abelian lattice gauge theories
• Meissner-like effect for synthetic gauge field in multimode cavity QED
• Basic Elements for Simulations of Standard Model Physics with Quantum Annealers: Multigrid and Clock States
• 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
• Building Projected Entangled Pair States with a Local Gauge Symmetry
• Toolbox for Abelian lattice gauge theories with synthetic matter
• Toward Quantum Computing Phase Diagrams of Gauge Theories with Thermal Pure Quantum States
• Real-time-dynamics quantum simulation of (1+1)-D lattice QED with Rydberg atoms
• Atomic Quantum Simulation of Lattice Gauge-Higgs Model: Higgs Couplings and Emergence of Exact Local Gauge Symmetry
• Stabilizing lattice gauge theories through simplified local pseudo generators
• Classical Dynamical Gauge Fields in Optomechanics
• 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
• Quantum Simulation of Light-Front Parton Correlators
• Probing confinement in a ${\mathbb{Z}}_2$ lattice gauge theory on a quantum computer
• Modulational instability and soliton generation in chiral Bose-Einstein condensates with zero-energy nonlinearity
• ${\mathbb{Z}}_N$ gauge theories coupled to topological fermions: QED${}_2$ with a quantum-mechanical $\theta$ angle
• Enhancing disorder-free localization through dynamically emergent local symmetries
• Photon-mediated Stroboscopic Quantum Simulation of a ${\mathbb{Z}}_2$ Lattice Gauge Theory
• Scattering wave packets of hadrons in gauge theories: Preparation on a quantum computer
• Tunable Confinement-Deconfinement Transition in an Ultracold Atom Quantum Simulator
• Loops and Strings in a Superconducting Lattice Gauge Simulator
• Different lattice geometries with synthetic dimension
• From the Jaynes-Cummings model to non-Abelian gauge theories: a guided tour for the quantum engineer
• Strategies for the Determination of the Running Coupling of $(2+1)$-dimensional QED with Quantum Computing
• Density-dependent synthetic magnetism for ultracold atoms in optical lattices
• Quantum sensors for the generating functional of interacting quantum field theories
• Simple Hamiltonian for Quantum Simulation of Strongly Coupled 2+1D SU(2) Lattice Gauge Theory on a Honeycomb Lattice
• The Casimir effect and deconfinement phase transition
• Selected topics of quantum computing for nuclear physics
• Liouvillian Dynamics of the Open Schwinger Model: String Breaking and Kinetic Dissipation in a Thermal Medium
• Glassy Dynamics from Quark Confinement: Atomic Quantum Simulation of Gauge-Higgs Model on Lattice
• Hidden order and symmetry protected topological states in quantum link ladders
• Canonical Momenta in Digitized SU(2) Lattice Gauge Theory: Definition and Free Theory
• Loop-string-hadron approach to SU(3) lattice Yang-Mills theory: I. Hilbert space of a trivalent vertex
• Atomic quantum simulation of a three-dimensional U(1) gauge-Higgs model
• Topological Wilson-loop area law manifested using a superposition of loops
• Disorder-free localization with Stark gauge protection
• The Heisenberg XX spin chain and low-energy QCD
• Critical properties of the Néel/algebraic-spin-liquid transition
• State Preparation in the Heisenberg Model through Adiabatic Spiraling
• Deconfining disordered phase in two-dimensional quantum link models
• Circuit-based digital adiabatic quantum simulation and pseudoquantum simulation as new approaches to lattice gauge theory
• Preparation for Quantum Simulation of the 1+1D O(3) Non-linear σ-Model using Cold Atoms
• Local Manipulation and Measurement of Nonlocal Many-Body Operators in Lattice Gauge Theory Quantum Simulators
• Trapped Bose-Einstein condensates in the presence of a current nonlinearity
• 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
• Semimetal-superfluid quantum phase transitions in 2D and 3D lattices with Dirac points
• Synthetic ${\mathbb{Z}}_2$ gauge theories based on parametric excitations of trapped ions
• Quantum thermodynamics of nonequilibrium processes in lattice gauge theories
• Randomized measurement protocols for lattice gauge theories
• Spin liquid phases of alkaline-earth-metal atoms at finite temperature
• SU(3) Quantum Spin Ladders as a Regularization of the CP(2) Model at Non-Zero Density: From Classical to Quantum Simulation
• Large-Scale $2+1$D $\mathrm{U}(1)$ Gauge Theory with Dynamical Matter in a Cold-Atom Quantum Simulator
• Measurement-based quantum simulation of Abelian lattice gauge theories
• Partonic distribution functions and amplitudes using tensor network methods
• A solenoidal synthetic field and the non-Abelian Aharonov-Bohm effects in neutral atoms
• Quantum Simulation of Two-Dimensional $\mathrm{U}(1)$ Gauge Theory in Rydberg and Rydberg-Dressed Atom Arrays
• Simulation of two-flavors symmetry-locking phases in ultracold fermionic mixtures
• Chern-Simons theory encoded on a spin chain
• Quantum simulation of lattice gauge theories via deterministic duality transformations assisted by measurements
• Collective modes in a Dirac insulator with short range interactions
• Gauge-Symmetry Protection Using Single-Body Terms
• Hidden vortices and Feynman rule in Bose-Einstein condensates with density-dependent gauge potential
• Phase diagram and non-Abelian symmetry locking for fermionic mixtures with unequal interactions
• Toward simulating quantum field theories with controlled phonon-ion dynamics: A hybrid analog-digital approach
• Achieving the quantum field theory limit in far-from-equilibrium quantum link models
• Partial confinement in a quantum-link simulator
• Quantum Error Correction Codes for Truncated SU(2) Lattice Gauge Theories
• Prolegomena to a hybrid classical/Rydberg simulator for hadronization (QuPyth)
• Ground-state phase diagram of quantum link electrodynamics in $(2+1)$-d
• Quantum Simulation of Non-Abelian Lattice Gauge Theories
• Planar generalized electrodynamics for one-loop amplitude in the Heisenberg picture
• Phase structure of the one-dimensional ${\mathbb{Z}}_2$ lattice gauge theory with second nearest-neighbor interactions