Negative string tension of higher-charge Schwinger model via digital quantum simulation
arXiv:2110.14105 · doi:10.1093/ptep/ptac007
Abstract
We study some properties of generalized global symmetry for the charge- Schwinger model in the Hamiltonian formalism, which is the -dimensional quantum electrodynamics with a charge- Dirac fermion. This model has the -form symmetry, which is a remnant of the electric -form symmetry in the pure Maxwell theory. It is known that if we put the theory on closed space, then the Hilbert space is decomposed into distinct sectors, called universes and some states with higher energy density do not decay to the ground state due to the selection rule of the -form symmetry. Even with open boundaries, we can observe the stability of such states by seeing a negative string tension behavior, meaning that opposite charges repel with each other. We develop a method based on the adiabatic state preparation to see this feature with digital quantum simulation and confirm it using a classical simulator of quantum devices. Especially, we measure local energy density and see how it jumps between inside and outside of insertion of the probe charges. We explicitly see that the energy density inside is lower than the outside one. This is a clear signature of the negative string tension.
arXiv comment35 pages, 8 figures, (v2) reference added
References in corpus (64)
- Probing many-body dynamics on a 51-atom quantum simulator
- Generalized Global Symmetries
- Real-time dynamics of lattice gauge theories with a few-qubit quantum computer
- Self-Verifying Variational Quantum Simulation of the Lattice Schwinger Model
- Quantum Algorithms for Quantum Field Theories
- Theta, Time Reversal, and Temperature
- Quantum-Classical Computation of Schwinger Model Dynamics using Quantum Computers
- QuSpin: a Python Package for Dynamics and Exact Diagonalisation of Quantum Many Body Systems part I: spin chains
- 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
- Atomic Quantum Simulation of Dynamical Gauge Fields coupled to Fermionic Matter: From String Breaking to Evolution after a Quench
- QuSpin: a Python Package for Dynamics and Exact Diagonalisation of Quantum Many Body Systems. Part II: bosons, fermions and higher spins
- Quantum Link Models: A Discrete Approach to Gauge Theories
- Theta Dependence In The Large N Limit Of Four-Dimensional Gauge Theories
- 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
- Anomalies in the Space of Coupling Constants and Their Dynamical Applications II
- Anomalies in the Space of Coupling Constants and Their Dynamical Applications I
- 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
- Digital lattice gauge theories
- Cluster decomposition, T-duality, and gerby CFT's
- GLSM's for gerbes (and other toric stacks)
- Simulations of Subatomic Many-Body Physics on a Quantum Frequency Processor
- Real Time Dynamics and Confinement in the 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 Lattice Gauge Theories in Superconducting Circuits
- Gauge-invariant implementation of the Abelian Higgs model on optical lattices
- Anomaly and global inconsistency matching: -angles, nonlinear sigma model, chains and its generalizations
- String compactifications on Calabi-Yau stacks
- Modified instanton sum in QCD and higher-groups
- Quantum simulation of the universal features of the Polyakov loop
- Non-invertible 1-form symmetry and Casimir scaling in 2d Yang-Mills theory
- Fermion-Fermion Scattering in Quantum Field Theory with Superconducting Circuits
- Vacuum structure of bifundamental gauge theories at finite topological angles
- Deeply inelastic scattering structure functions on a hybrid quantum computer
- Notes on gauging noneffective group actions
- The quantum sine-Gordon model with quantum circuits
- Minimally-Entangled State Preparation of Localized Wavefunctions on Quantum Computers
- Sigma models on quantum computers
- Quantum simulation of scattering in the quantum Ising model
- Sums over topological sectors and quantization of Fayet-Iliopoulos parameters
- Anomaly matching, (axial) Schwinger models, and high-T super Yang-Mills domain walls
- Global inconsistency, 't Hooft anomaly, and level crossing in quantum mechanics
- Quantum Algorithms for Fermionic Quantum Field Theories
- Massive Schwinger model within mass perturbation theory
- From Quantum Link Models to D-Theory: A Resource Efficient Framework for the Quantum Simulation and Computation of Gauge Theories
- Fractional angle, 't Hooft anomaly, and quantum instantons in charge- multi-flavor Schwinger model
- The Bi-Fundamental Gauge Theory in 3+1 Dimensions: The Vacuum Structure and a Cascade
- Study of CP(N-1) θ-Vacua by Cluster-Simulation of SU(N) Quantum Spin Ladders
- Dual simulation of the 2d U(1) gauge Higgs model at topological angle : Critical endpoint behavior
- Lifetimes of (near) eternal false vacua
- Vacuum Structure of Charge k Two-Dimensional QED and Dynamics of an Anti D-String Near an O1- plane
- Quantum sensors for the generating functional of interacting quantum field theories
- Quantum variational approach to lattice gauge theory at nonzero density
- Benchmarking quantum computers for real-time evolution of a field theory with error mitigation