Classically emulated digital quantum simulation for screening and confinement in the Schwinger model with a topological term

Abstract

We perform digital quantum simulation, using a classical simulator, to study screening and confinement in a gauge theory with a topological term, focusing on ($1+1$)-dimensional quantum electrodynamics (Schwinger model) with a theta term. We compute the ground state energy in the presence of probe charges to estimate the potential between them, via adiabatic state preparation. We compare our simulation results and analytical predictions for a finite volume, finding good agreements. In particular our result in the massive case shows a linear behavior for non-integer charges and a non-linear behavior for integer charges, consistently with the expected confinement (screening) behavior for non-integer (integer) charges.

arXiv comment21 pages, 7 figures, v2: published version, added clarifications and references, corrected minor errors

References in corpus (68)

• Quantum Computing in the NISQ era and beyond
• Probing many-body dynamics on a 51-atom quantum simulator
• Real-time dynamics of lattice gauge theories with a few-qubit quantum computer
• QCD forces and heavy quark bound states
• Self-Verifying Variational Quantum Simulation of the Lattice Schwinger Model
• Quantum Algorithms for Quantum Field Theories
• Restrictions on Transversal Encoded Quantum Gate Sets
• Quantum-Classical Computation of Schwinger Model Dynamics using Quantum Computers
• Quantum Simulations of Lattice Gauge Theories using Ultracold Atoms in Optical Lattices
• Bounds for the adiabatic approximation with applications to quantum computation
• Ultracold Quantum Gases and Lattice Systems: Quantum Simulation of Lattice Gauge Theories
• Magic state distillation with low overhead
• 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 and string dynamics in Rydberg atom quantum simulators
• A cold-atom quantum simulator for SU(2) Yang-Mills lattice gauge theory
• SU(2) non-Abelian gauge field theory in one dimension on digital quantum computers
• Simulating Compact Quantum Electrodynamics with ultracold atoms: Probing confinement and nonperturbative effects
• A Trailhead for Quantum Simulation of SU(3) Yang-Mills Lattice Gauge Theory in the Local Multiplet Basis
• Screening vs. Confinement in 1+1 Dimensions
• Density Matrix Renormalisation Group Approach to the Massive Schwinger Model
• U(1) Wilson lattice gauge theories in digital quantum simulators
• Digitization of Scalar Fields for Quantum Computing
• Series Expansions for the Massive Schwinger Model in Hamiltonian lattice theory
• Digital lattice gauge theories
• Quantum Algorithms for Simulating the Lattice Schwinger Model
• Efficient synthesis of universal Repeat-Until-Success circuits
• Loop, String, and Hadron Dynamics in SU(2) Hamiltonian Lattice Gauge Theories
• Towards simulating 2D effects in lattice gauge theories on a quantum computer
• Search for Efficient Formulations for Hamiltonian Simulation of non-Abelian Lattice Gauge Theories
• Introductory lectures on lattice QCD at nonzero baryon number
• Simulations of Subatomic Many-Body Physics on a Quantum Frequency Processor
• Real Time Dynamics and Confinement in the ${\mathbb{Z}}_n$ Schwinger-Weyl lattice model for 1+1 QED
• Towards Quantum Simulating QCD
• Electron-Phonon Systems on a Universal Quantum Computer
• Two-dimensional Lattice Gauge Theories with Superconducting Quantum Circuits
• Simulation of Nonequilibrium Dynamics on a Quantum Computer
• Non-Abelian $SU(2)$ Lattice Gauge Theories in Superconducting Circuits
• Gauge-invariant implementation of the Abelian Higgs model on optical lattices
• Parton Physics on a Quantum Computer
• Quantum simulation of the universal features of the Polyakov loop
• Quantum simulation of lattice gauge theories using Wilson fermions
• Topological vacuum structure of the Schwinger model with matrix product states
• Fermion-Fermion Scattering in Quantum Field Theory with Superconducting Circuits
• Deeply inelastic scattering structure functions on a hybrid quantum computer
• Faster Digital Quantum Simulation by Symmetry Protection
• Real-time chiral dynamics from a digital quantum simulation
• Confinement and string breaking for QED${}_2$ in the Hamiltonian picture
• The quantum sine-Gordon model with quantum circuits
• Minimally-Entangled State Preparation of Localized Wavefunctions on Quantum Computers
• Improved Error-Scaling for Adiabatic Quantum State Transfer
• Single-particle digitization strategy for quantum computation of a ${\varphi }^4$ scalar field theory
• Sigma models on quantum computers
• Quantum simulation of scattering in the quantum Ising model
• Massive Schwinger model within mass perturbation theory
• Nearly tight Trotterization of interacting electrons
• Quantum simulation of gauge theory via orbifold lattice
• Toward Quantum Simulations of ${\mathbb{Z}}_2$ Gauge Theory Without State Preparation
• Quantum simulation of quantum field theories as quantum chemistry
• Quantum Simulation of Light-Front Parton Correlators
• Digital Simulation of Topological Matter on Programmable Quantum Processors
• Prospects for Simulating a Qudit Based Model of (1+1)d Scalar QED
• Quantum sensors for the generating functional of interacting quantum field theories
• Toward simulating Superstring/M-theory on a quantum computer
• State preparation and measurement in a quantum simulation of the O(3) sigma model
• Fixed-Point Quantum Circuits for Quantum Field Theories
• Quantum variational approach to lattice gauge theory at nonzero density
• On Quantum Simulation Of Cosmic Inflation

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