Real-time-dynamics quantum simulation of (1+1)-D lattice QED with Rydberg atoms

Abstract

We show how to implement a Rydberg-atom quantum simulator to study the non-equilibrium dynamics of an Abelian (1+1)-D lattice gauge theory. The implementation locally codifies the degrees of freedom of a ${\mathbf{Z}}_3$ gauge field, once the matter field is integrated out by means of the Gauss' local symmetries. The quantum simulator scheme is based on current available technology and scalable to considerable lattice sizes. It allows, within experimentally reachable regimes, to explore different string dynamics and to infer information about the Schwinger $U(1)$ model.

arXiv comment9 pages, 5 figures

References in corpus (50)

• The density-matrix renormalization group in the age of matrix product states
• Probing many-body dynamics on a 51-atom quantum simulator
• Efficient simulation of one-dimensional quantum many-body systems
• A Rydberg Quantum Simulator
• Observation of collective excitation of two individual atoms in the Rydberg blockade regime
• Real-time dynamics of lattice gauge theories with a few-qubit quantum computer
• Realizing quantum Ising models in tunable two-dimensional arrays of single Rydberg atoms
• Natural and artificial atoms for quantum computation
• Generation and manipulation of Schrödinger cat states in Rydberg atom arrays
• Self-Verifying Variational Quantum Simulation of the Lattice Schwinger Model
• Synthetic three-dimensional atomic structures assembled atom by atom
• Observation of mesoscopic crystalline structures in a two-dimensional Rydberg gas
• Quantum-Classical Computation of Schwinger Model Dynamics using Quantum Computers
• High-fidelity control and entanglement of Rydberg atom qubits
• Ultracold Quantum Gases and Lattice Systems: Quantum Simulation of Lattice Gauge Theories
• Floquet approach to ${\mathbb{Z}}_2$ lattice gauge theories with ultracold atoms in optical lattices
• Atomic Quantum Simulation of Dynamical Gauge Fields coupled to Fermionic Matter: From String Breaking to Evolution after a Quench
• A cold-atom quantum simulator for SU(2) Yang-Mills lattice gauge theory
• Lattice gauge theories simulations in the quantum information era
• Simulating Compact Quantum Electrodynamics with ultracold atoms: Probing confinement and nonperturbative effects
• Realizing a scalable building block of a U(1) gauge theory with cold atomic mixtures
• Simulations of non-Abelian gauge theories with optical lattices
• Alkaline earth atoms in optical tweezers
• Analysis of imperfections in the coherent optical excitation of single atoms to Rydberg states
• Microscopic control and detection of ultracold strontium in optical-tweezer arrays
• Constrained dynamics via the Zeno effect in quantum simulation: Implementing non-Abelian lattice gauge theories with cold atoms
• Observing the space- and time-dependent growth of correlations in dynamically tuned synthetic Ising antiferromagnets
• Real-time Dynamics in U(1) Lattice Gauge Theories with Tensor Networks
• Simulating 2+1d Lattice QED with dynamical matter using ultracold atoms
• Demonstration of a strong Rydberg blockade in three-atom systems with anisotropic interactions
• Quantum Spin Ice and dimer models with Rydberg atoms
• Floquet time crystals in clock models
• Dynamical topological transitions in the massive Schwinger model with a θ-term
• Quantum simulation of lattice gauge theories using Wilson fermions
• Discrete Abelian Gauge Theories for Quantum Simulations of QED
• Phase Transitions in $Z_n$ Gauge Models: Towards Quantum Simulations of the Schwinger-Weyl QED
• Removing Staggered Fermionic Matter in $U(N)$ and $SU(N)$ Lattice Gauge Theories
• Confinement and string breaking for QED${}_2$ in the Hamiltonian picture
• Eliminating fermionic matter fields in lattice gauge theories
• Unitary and non-unitary quantum cellular automata with Rydberg arrays
• Quantum simulation of $(1+1)$-dimensional U(1) gauge-Higgs model on a lattice by cold Bose gases
• Symmetry-protected topological phases in lattice gauge theories: topological QED${}_2$
• Atomic Quantum Simulation of Lattice Gauge-Higgs Model: Higgs Couplings and Emergence of Exact Local Gauge Symmetry
• ${\mathbb{Z}}_N$ gauge theories coupled to topological fermions: QED${}_2$ with a quantum-mechanical $\theta$ angle
• Discrete time crystal in a finite chain of Rydberg atoms without disorder
• From Decay to Complete Breaking: Pulling the Strings in SU(2) Yang-Mills Theory
• Glassy Dynamics from Quark Confinement: Atomic Quantum Simulation of Gauge-Higgs Model on Lattice
• Atomic quantum simulation of a three-dimensional U(1) gauge-Higgs model
• String tension and robustness of confinement properties of in the Schwinger-Thirring model
• Simulating quantum field theory with a quantum computer

Cited by in corpus (39)

• Quantum Phases of Matter on a 256-Atom Programmable Quantum Simulator
• Simulating Lattice Gauge Theories within Quantum Technologies
• Quantum simulation and computing with Rydberg-interacting qubits
• Lattice gauge theories and string dynamics in Rydberg atom quantum simulators
• A concise review of Rydberg atom based quantum computation and quantum simulation
• Real Time Dynamics and Confinement in the ${\mathbb{Z}}_n$ Schwinger-Weyl lattice model for 1+1 QED
• A dual-element, two-dimensional atom array with continuous-mode operation
• Quasilocalized dynamics from confinement of quantum excitations
• False vacuum decay in quantum spin chains
• Real-time dynamics of string breaking in quantum spin chains
• Toward scalable simulations of Lattice Gauge Theories on quantum computers
• Entanglement generation in $(1+1)D$ QED scattering processes
• Collisions of false-vacuum bubble walls in a quantum spin chain
• Efficient Tensor Network ansatz for high-dimensional quantum many-body problems
• 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
• Prospects for Simulating a Qudit Based Model of (1+1)d Scalar QED
• Encoding a one-dimensional topological gauge theory in a Raman-coupled Bose-Einstein condensate
• Scattering wave packets of hadrons in gauge theories: Preparation on a quantum computer
• Gauge invariant quantum circuits for $U(1)$ and Yang-Mills lattice gauge theories
• Theoretical methods to design and test quantum simulators for the compact Abelian Higgs model
• Real-time scattering in the lattice Schwinger model
• Dynamical quantum phase transitions of the Schwinger model: real-time dynamics on IBM Quantum
• Loop-string-hadron approach to SU(3) lattice Yang-Mills theory: I. Hilbert space of a trivalent vertex
• Quantum Simulation of the N flavor Gross-Neveu Model
• Realizing and Probing Baryonic Excitations in Rydberg Atom Arrays
• Quantum thermodynamics of nonequilibrium processes in lattice gauge theories
• ${\mathbb{Z}}_N$ lattice gauge theory in a ladder geometry
• Continuum approach to real time dynamics of 1+1D gauge field theory: out of horizon correlations of the Schwinger model
• Critical behavior of lattice gauge theory Rydberg simulators from effective Hamiltonians
• The rotor Jackiw-Rebbi model: a cold-atom approach to chiral symmetry restoration and quark confinement
• Tuning excitation transport in a dissipative Rydberg ring
• Cubic* criticality emerging from a quantum loop model on triangular lattice
• Quantum error mitigation in optimized circuits for particle-density correlations in real-time dynamics of the Schwinger model
• Gauge-invariance in cellular automata
• Entangled quantum cellular automata, physical complexity, and Goldilocks rules
• Prolegomena to a hybrid classical/Rydberg simulator for hadronization (QuPyth)
• A digital Rydberg simulation of dynamical quantum phase transitions in the Schwinger model