Entanglement asymmetry and quantum Mpemba effect in two-dimensional free-fermion systems

S Yamashika, F Ares, P Calabrese - Physical Review B, 2024 - APS
The quantum Mpemba effect is the counterintuitive nonequilibrium phenomenon wherein
the dynamic restoration of a broken symmetry occurs more rapidly when the initial state …

Entanglement barrier and its symmetry resolution: Theory and experimental observation

A Rath, V Vitale, S Murciano, M Votto, J Dubail… - PRX Quantum, 2023 - APS
The operator entanglement (OE) is a key quantifier of the complexity of a reduced density
matrix. In out-of-equilibrium situations, eg, after a quantum quench of a product state, it is …

Symmetry-resolved measures in quantum field theory: A short review

OA Castro-Alvaredo… - Modern Physics Letters B, 2025 - World Scientific
In this short review, we present the key definitions, ideas and techniques involved in the
study of symmetry resolved entanglement measures, with a focus on the symmetry resolved …

[PDF][PDF] Nonequilibrium Dynamics of Charged Dual-Unitary Circuits

A Foligno, P Calabrese, B Bertini - PRX Quantum, 2025 - APS
The interplay between symmetries and entanglement in out-of-equilibrium quantum systems
is currently at the center of an intense multidisciplinary research effort. Here we introduce a …

Lack of symmetry restoration after a quantum quench: an entanglement asymmetry study

F Ares, S Murciano, E Vernier, P Calabrese - SciPost Physics, 2023 - scipost.org
We consider the quantum quench in the XX spin chain starting from a tilted Néel state which
explicitly breaks the $ U (1) $ symmetry of the post-quench Hamiltonian. Very surprisingly …

Entanglement asymmetry and quantum Mpemba effect in the XY spin chain

S Murciano, F Ares, I Klich… - Journal of Statistical …, 2024 - iopscience.iop.org
Entanglement asymmetry is a quantity recently introduced to measure how much a
symmetry is broken in a part of an extended quantum system. It has been employed to …

Symmetry-resolved Page curves

S Murciano, P Calabrese, L Piroli - Physical Review D, 2022 - APS
Given a statistical ensemble of quantum states, the corresponding Page curve quantifies the
average entanglement entropy associated with each possible spatial bipartition of the …

Symmetry-resolved entanglement entropy in Wess-Zumino-Witten models

P Calabrese, J Dubail, S Murciano - Journal of High Energy Physics, 2021 - Springer
A bstract We consider the problem of the decomposition of the Rényi entanglement
entropies in theories with a non-abelian symmetry by doing a thorough analysis of Wess …

Growth of Rényi entropies in interacting integrable models and the breakdown of the quasiparticle picture

B Bertini, K Klobas, V Alba, G Lagnese, P Calabrese - Physical Review X, 2022 - APS
Rényi entropies are conceptually valuable and experimentally relevant generalizations of
the celebrated von Neumann entanglement entropy. After a quantum quench in a clean …

Symmetry-resolved entanglement in critical non-Hermitian systems

M Fossati, F Ares, P Calabrese - Physical Review B, 2023 - APS
The study of entanglement in the symmetry sectors of a theory has recently attracted a lot of
attention since it provides better understanding of some aspects of quantum many-body …