Spacetime Supersymmetry in the Truncated Lattice Schwinger Model

Abstract

Gauge theories in (1+1)D have attracted renewed attention partially due to their experimental realizations in quantum simulation platforms. In this work, we revisit the truncated lattice massive Schwinger model and the truncated lattice Abelian-Higgs model in (1+1)D, where to facilitate quantum simulation, the electric field eigenvalues are truncated to a finite subset while preserving the exact gauge and global symmetries. We uncover previously overlooked universal features in these models, including the emergence of a supersymmetric quantum critical point when the Maxwell term's coefficient changes sign. Our primary focus is the truncated lattice Schwinger model at $\theta =0$, a model not equivalent to familiar spin models. We find that upon reversing the sign of the Maxwell term, the second-order charge conjugation symmetry breaking transition (or confinement-deconfinement transition in a sense) can become first-order. Furthermore, the two types of transitions are connected by a supersymmetric critical point in the tricritical Ising universality class. In the case of truncated Abelian-Higgs model at $\theta =0$, which we find to be equivalent to the quantum Blume-Capel model, the very existence of a symmetry-breaking phase requires a negative-sign Maxwell term. Similarly, there is a tricritical Ising point separating first-order and second-order phase transitions.

Published version. 5+7 pages, 8 figures

References in corpus (13)

• Thermalization dynamics of a gauge theory on a quantum simulator
• Atomic quantum simulator for lattice gauge theories and ring exchange models
• Digital Quantum Simulation of the Schwinger Model and Symmetry Protection with Trapped Ions
• Quantum transitions driven by one-bond defects in quantum Ising rings
• Probing confinement in a ${\mathbb{Z}}_2$ lattice gauge theory on a quantum computer
• Interrelated Thermalization and Quantum Criticality in a Lattice Gauge Simulator
• Tunable Confinement-Deconfinement Transition in an Ultracold Atom Quantum Simulator
• Emergent Gauge Theory in Rydberg Atom Arrays
• Dynamical quantum phase transitions of the Schwinger model: real-time dynamics on IBM Quantum
• Uncovering Emergent Spacetime Supersymmetry with Rydberg Atom Arrays
• Phase diagram of 1+1D Abelian-Higgs model and its critical point
• Spectral properties of critical 1+1D Abelian-Higgs model
• Lattice Defects in Rydberg Atom Arrays

Cited by in corpus (2)

• Tricritical Kibble-Zurek scaling in Rydberg atom ladders
• Random displacements in critical Rydberg atom arrays