Symmetry resolved entanglement in Lifshitz field theories

TL;DR

This paper analyzes symmetry-resolved entanglement in Lifshitz field theories, revealing how charge sectors and entanglement features depend on system parameters and differ between scalar and fermionic models.

Contribution

It introduces a method to compute symmetry-resolved entanglement in non-relativistic Lifshitz theories, highlighting distinct behaviors in scalar and fermionic models across different regimes.

Findings

Approximate equipartition emerges in Lifshitz scalar theories at large z.

Genuine equipartition occurs only in relativistic limits for Lifshitz fermions.

Configurational entropy dominates in scalar models, while fluctuation entropy prevails in fermionic models.

Abstract

We investigate symmetry-resolved entanglement in non-relativistic quantum field theories, including complex Lifshitz scalar chains and Lifshitz fermionic models. Using charged moments and the correlator method, we compute symmetry-resolved Renyi and von Neumann entropies and analyze their dependence on subsystem size, charge, mass, and the dynamical exponent z. Our results reveal distinct features of non-relativistic entanglement. In Lifshitz scalar theories, approximate equipartition among charge sectors emerges in the large-z regime, with configurational entropy dominating, whereas Lifshitz fermionic models exhibit genuine equipartition only in the relativistic limit, with fluctuation entropy prevailing. These findings highlight a rich interplay between conserved charges, subsystem size, mass, and dynamical scaling, and provide a framework to explore operationally accessible entanglement in non-relativistic systems. Our study offers insights relevant to experimental platforms such as cold atom setups and mesoscopic systems, where particle-number-resolved measurements can probe symmetry-resolved entanglement.