Work

Entanglement asymmetry in CFT with boundary symmetry breaking

Year: 2025

Type: article

Abstract: A bstract We examine the behavior of the entanglement asymmetry in the ground state of a (1+1)-dimensional conformal field theory with a boundary condition that explicitly breaks a bulk symmetry. Our focus is on the asymmetry of a subsystem A originating from the symmetry-breaking boundary and extending into a semi-infinite bulk. By employing the twist field formalism, we derive a universal expression for the asymmetry, showing that the asymptotic behavior for large subsystems is approached algebraically, with an exponent which is twice the conformal dimension of a boundary condition-changing operator. As a secondary result, we also establish a similar asymptotic behavior for the string order parameter. Our exact analytical findings are validated through numerical simulations in the critical Ising and 3-state Potts models.

Source: Journal of High Energy Physics

DOI: 10.1007/jhep06(2025)089

Authors: Michele Fossati, Colin Rylands, Pasquale Calabrese

Institutions: Scuola Internazionale Superiore di Studi Avanzati, Istituto Nazionale di Fisica Nucleare, Sezione di Trieste, The Abdus Salam International Centre for Theoretical Physics (ICTP)

Language: English

Topic: Quantum many-body systems

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funders: European Commission, NextGenerationEU

Award: G7676981447