The Quantum Complexity of String Breaking in the Schwinger Model

TL;DR

This paper investigates the quantum complexity of string breaking in the Schwinger model using Matrix Product States, revealing nonlocal correlations and entanglement features that influence confinement phenomena.

Contribution

It introduces quantum complexity measures to analyze string breaking, highlighting nonlocal correlations and entanglement as key factors in the process.

Findings

Nonlocal quantum correlations are present along the string.

Entanglement and magic provide new insights into string formation and breaking.

Quantum complexity measures reveal aspects of confinement beyond traditional observables.

Abstract

String breaking, the process by which flux tubes fragment into hadronic states, is a hallmark of confinement in strongly-interacting quantum field theories. A suite of quantum complexity measures is examined using Matrix Product States to characterize the string breaking process in the 1+1D Schwinger model. We demonstrate the presence of nonlocal quantum correlations along the string that may affect fragmentation dynamics, and show that entanglement and magic offer complementary perspectives on string formation and breaking beyond conventional observables.