Schwinger model on an interval: analytic results and DMRG

Abstract

Quantum electrodynamics in $1+1$ dimensions (Schwinger model) on an interval admits lattice discretization with a finite-dimensional Hilbert space, and is often used as a testbed for quantum and tensor network simulations. In this work we clarify the precise mapping between the boundary conditions in the continuum and lattice theories. In particular we show that the conventional Gauss law constraint commonly used in simulations induces a strong boundary effect on the charge density, reflecting the appearance of fractionalized charges. Further, we obtain by bosonization a number of exact analytic results for local observables in the massless Schwinger model. We compare these analytic results with the simulation results obtained by the density matrix renormalization group (DMRG) method and find excellent agreements.

arXiv comment31 pages, 8 figures; v2 major revision, published version essentially

References in corpus (36)

• Quantum Computing in the NISQ era and beyond
• Probing many-body dynamics on a 51-atom quantum simulator
• Generalized Global Symmetries
• The ITensor Software Library for Tensor Network Calculations
• Real-time dynamics of lattice gauge theories with a few-qubit quantum computer
• Chiral symmetry and O(a) improvement in lattice QCD
• Self-Verifying Variational Quantum Simulation of the Lattice Schwinger Model
• Quantum-Classical Computation of Schwinger Model Dynamics using Quantum Computers
• Observation of gauge invariance in a 71-site Bose-Hubbard quantum simulator
• Lattice gauge theories and string dynamics in Rydberg atom quantum simulators
• The mass spectrum of the Schwinger model with Matrix Product States
• Thermalization dynamics of a gauge theory on a quantum simulator
• Screening vs. Confinement in 1+1 Dimensions
• Tensor networks for Lattice Gauge Theories and Atomic Quantum Simulation
• Density Matrix Renormalisation Group Approach to the Massive Schwinger Model
• U(1) Wilson lattice gauge theories in digital quantum simulators
• Matrix product states for gauge field theories
• General Methods for Digital Quantum Simulation of Gauge Theories
• Series Expansions for the Massive Schwinger Model in Hamiltonian lattice theory
• GLSM's for gerbes (and other toric stacks)
• Real Time Dynamics and Confinement in the ${\mathbb{Z}}_n$ Schwinger-Weyl lattice model for 1+1 QED
• String compactifications on Calabi-Yau stacks
• Quantum simulation of non-equilibrium dynamics and thermalization in the Schwinger model
• Thermal evolution of the Schwinger model with Matrix Product Operators
• Topological vacuum structure of the Schwinger model with matrix product states
• Chiral condensate in the Schwinger model with Matrix Product Operators
• Real-time chiral dynamics from a digital quantum simulation
• The two-loop five-point amplitude in $\mathcal{N}=8$ supergravity
• Sums over topological sectors and quantization of Fayet-Iliopoulos parameters
• Classically emulated digital quantum simulation for screening and confinement in the Schwinger model with a topological term
• Towards the continuum limit of a $(1+1)$d quantum link Schwinger model
• Aspects of Quasi-Phasestructure of the Schwinger Model on a Cylinder with Broken Chiral Symmetry
• Chiral Symmetry Breaking on the Lattice: a Study of the Strongly Coupled Lattice Schwinger Model
• Quantum variational approach to lattice gauge theory at nonzero density
• DMRG study of the higher-charge Schwinger model and its 't Hooft anomaly
• Schwinger model on a half-line

Cited by in corpus (1)

• Computing the Mass Shift of Wilson and Staggered Fermions in the Lattice Schwinger Model with Matrix Product States