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.
35 pages, 8 figures, (v2) reference added
References in corpus (21)
- Probing many-body dynamics on a 51-atom quantum simulator
- Generalized Global Symmetries
- QuSpin: a Python Package for Dynamics and Exact Diagonalisation of Quantum Many Body Systems part I: spin chains
- Bounds for the adiabatic approximation with applications to quantum computation
- 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
- Digital lattice gauge theories
- Towards Quantum Simulating QCD
- Two-dimensional Lattice Gauge Theories with Superconducting Quantum Circuits
- 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
- Notes on gauging noneffective group actions
- Quantum simulation of scattering in the quantum Ising model
- Global inconsistency, 't Hooft anomaly, and level crossing in quantum mechanics
- Quantum Algorithms for Fermionic Quantum Field Theories
- 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
- Lifetimes of (near) eternal false vacua
- Quantum variational approach to lattice gauge theory at nonzero density