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The entanglement asymmetry is a novel quantity that, using entanglement methods, measures how much a symmetry is broken in a part of an extended quantum system. So far it has only been used to characterise the breaking of continuous Abelian…

Statistical Mechanics · Physics 2024-02-08 Florent Ferro , Filiberto Ares , Pasquale Calabrese

The entanglement asymmetry is an information based observable that quantifies the degree of symmetry breaking in a region of an extended quantum system. We investigate this measure in the ground state of one dimensional critical systems…

High Energy Physics - Theory · Physics 2024-05-14 Michele Fossati , Filiberto Ares , Jerome Dubail , Pasquale Calabrese

Symmetry and symmetry breaking are two pillars of modern quantum physics. Still, quantifying how much a symmetry is broken is an issue that has received little attention. In extended quantum systems, this problem is intrinsically bound to…

Statistical Mechanics · Physics 2023-04-20 Filiberto Ares , Sara Murciano , Pasquale Calabrese

We study the symmetry resolved entanglement entropies in gapped integrable lattice models. We use the corner transfer matrix to investigate two prototypical gapped systems with a U(1) symmetry: the complex harmonic chain and the XXZ…

Statistical Mechanics · Physics 2020-03-27 Sara Murciano , Giuseppe Di Giulio , Pasquale Calabrese

We study the quantum critical phase of a SU(2) symmetric spin-2 chain obtained from spin-2 bosons in a one-dimensional lattice. We obtain the scaling of the entanglement entropy and finite-size energies by exact diagonalization and…

Strongly Correlated Electrons · Physics 2015-04-27 Pochung Chen , Zhi-Long Xue , I. P. McCulloch , Ming-Chiang Chung , Chao-Chun Huang , S. -K. Yip

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 analyze the non-equilibrium dynamics of a broken symmetry after a global…

Statistical Mechanics · Physics 2024-01-23 Sara Murciano , Filiberto Ares , Israel Klich , Pasquale Calabrese

In this paper we consider a class of the 2D integrable models. These models are higher spin XXZ chains with an extra condition of the commensurability between spin and anisotropy. The mathematics underlying this commensurability is provided…

High Energy Physics - Theory · Physics 2009-10-22 A. Berkovich , C. Gomez , G. Sierra

The entanglement asymmetry measures the extent to which a symmetry is broken within a subsystem of an extended quantum system. Here, we analyse this quantity in Haar random states for arbitrary compact, semi-simple Lie groups, building on…

High Energy Physics - Theory · Physics 2025-07-01 Angelo Russotto , Filiberto Ares , Pasquale Calabrese

We numerically study the SU(2)$\otimes$SU(2) symmetric spin-orbit coupled model as a lower symmetric generalization of the SU(4) exchange model. On the symmetric line with respect to the spin and orbit, our result shows the essentially…

Strongly Correlated Electrons · Physics 2009-10-31 Yasufumi Yamashita , Naokazu Shibata , Kazuo Ueda

We investigate the phase diagram and the spin-orbital entanglement of a one-dimensional SU(2)$\otimes XXZ$ model with SU(2) spin exchange and anisotropic $XXZ$ orbital exchange interactions and negative exchange coupling. As a unique…

Strongly Correlated Electrons · Physics 2015-10-07 Wen-Long You , Peter Horsch , Andrzej M. Oleś

We consider the quantum quench in the XX spin chain starting from a tilted N\'eel state which explicitly breaks the $U(1)$ symmetry of the post-quench Hamiltonian. Very surprisingly, the $U(1)$ symmetry is not restored at large time because…

Statistical Mechanics · Physics 2023-09-06 Filiberto Ares , Sara Murciano , Eric Vernier , Pasquale Calabrese

Monitored quantum circuits exhibit entanglement transitions at certain measurement rates. Such a transition separates phases characterized by how much information an observer can learn from the measurement outcomes. We study SU(2)-symmetric…

Entanglement entropy (EE) in critical quantum spin chains described by 1+1D conformal field theories contains signatures of the universal characteristics of the field theory. Boundaries and defects in the spin chain give rise to universal…

Quantum Physics · Physics 2022-05-26 Ananda Roy , Hubert Saleur

We investigate the formation of spin gap in one-dimensional models characterized by the groups with hidden dynamical symmetries. A family of two-parametric models of isotropic and anisotropic Spin-Rotator Chains characterized by SU(2)x…

Strongly Correlated Electrons · Physics 2009-11-10 M. N. Kiselev , D. N. Aristov , K. Kikoin

Entanglement asymmetry is an observable in quantum systems, constructed using quantum-information methods, suited to detecting symmetry breaking in states -- possibly out of equilibrium -- relative to a subsystem. In this paper we define…

High Energy Physics - Theory · Physics 2026-01-27 Francesco Benini , Pasquale Calabrese , Michele Fossati , Amartya Harsh Singh , Marco Venuti

We carry out a numerical study of the bi-partite entanglement entropy in the gapped regime of two paradigmatic quantum spin chain models: the Ising chain in an external magnetic field and the anti-ferromagnetic XXZ model. The universal…

High Energy Physics - Theory · Physics 2013-10-30 Emanuele Levi , Olalla A. Castro-Alvaredo , Benjamin Doyon

Entanglement entropy has proven invaluable to our understanding of quantum criticality. It is natural to try to extend the concept to non-unitary quantum mechanics, which has seen growing interest from areas as diverse as open quantum…

Statistical Mechanics · Physics 2017-08-02 Romain Couvreur , Jesper Lykke Jacobsen , Hubert Saleur

We investigate the anisotropic coupled-top model, which describes the interactions between two large spins along both $x-$ and $y-$directions. By tuning anisotropic coupling strengths along distinct directions, we can manipulate the…

Strongly Correlated Electrons · Physics 2025-04-30 Wen-Jian Mao , Tian Ye , Liwei Duan , Yan-Zhi Wang

We consider lambda and anisotropic deformations of the SU(2) principal chiral model and show how they can be quantized in the Hamiltonian formalism on a lattice as a suitable spin chain. The spin chain is related to the higher spin XXZ…

High Energy Physics - Theory · Physics 2018-09-26 Calan Appadu , Timothy J. Hollowood , Dafydd Price , Daniel C. Thompson

We show some symmetry relations among the correlation functions of the integrable higher-spin XXX and XXZ spin chains, where we explicitly evaluate the multiple integrals representing the one-point functions in the spin-1 case. We review…

Statistical Mechanics · Physics 2011-06-24 Tetsuo Deguchi , Jun Sato
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