Entanglement equipartition in critical random spin chains

Understand

The reduced density matrix of many-body systems possessing an additive conserved quantity can be decomposed in orthogonal sectors which can be independently analyzed.

• Recently, these have been proven to equally contribute to entanglement entropy for one dimensional conformal and integrable systems.
• In this paper, we extend this equipartition theorem to the disordered critical systems by studying the random singlet phase.
• We analytically compute the disorder averaged symmetry resolved R\'enyi entropies and show the leading orders are independent of the symmetry sector.