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Frustrated magnets can elude the paradigm of conventional symmetry breaking and instead exhibit signatures of emergent symmetries at low temperatures. Such symmetries arise from "accidental" degeneracies within the ground state manifold and…

Strongly Correlated Electrons · Physics 2025-08-25 Sagar Ramchandani , Simon Trebst , Ciarán Hickey

We present an exact solution for a quantum spin chain driven through its critical points. Our approach is based on a many-body generalization of the Landau-Zener transition theory, applied to fermionized spin Hamiltonian. The resulting…

Mesoscale and Nanoscale Physics · Physics 2008-04-12 R. W. Cherng , L. S. Levitov

Exceptional points (EPs) are ubiquitous in non-hermitian systems, and represent the complex counterpart of critical points. By driving a system through a critical point at finite rate induces defects, described by the Kibble-Zurek…

Strongly Correlated Electrons · Physics 2019-05-22 Balázs Dóra , Markus Heyl , Roderich Moessner

The entanglement asymmetry is an observable independent tool to investigate the relaxation of quantum many body systems through the restoration of an initially broken symmetry of the dynamics. In this paper we use this to investigate the…

Statistical Mechanics · Physics 2024-09-16 Colin Rylands , Eric Vernier , Pasquale Calabrese

We show how mapping techniques inherent to $N^{2}$-dimensional discrete phase spaces can be used to treat a wide family of spin systems which exhibits squeezing and entanglement effects. This algebraic framework is then applied to the…

Quantum Physics · Physics 2013-07-16 Marcelo A. Marchiolli , Diógenes Galetti , Tiago Debarba

Degenerate geometrical configurations in quantum gravity are important to understand if the fate of classical singularities is to be revealed. However, not all degenerate configurations arise on an equal footing, and one must take into…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Martin Bojowald

We study the effects of dissipative boundaries in many-body systems at continuous quantum transitions, when the parameters of the Hamiltonian driving the unitary dynamics are close to their critical values. As paradigmatic models, we…

Statistical Mechanics · Physics 2021-09-01 Francesco Tarantelli , Ettore Vicari

Feedback effects due to spin fluctuation induced precursors in the fermionic quasiparticle spectrum are taken into account in the description of a quantum critical point of itinerant spin systems. A correlation length dependent spin damping…

Strongly Correlated Electrons · Physics 2007-05-23 Joerg Schmalian

In this review, we study some aspects of the non-equilibrium dynamics of quantum systems. In particular, we consider the effect of varying a parameter in the Hamiltonian of a quantum system which takes it across a quantum critical point or…

Statistical Mechanics · Physics 2015-05-14 Shreyoshi Mondal , Diptiman Sen , K. Sengupta

Over the past few decades, tremendous efforts have been devoted to understanding self-duality at the quantum critical point, which enlarges the global symmetry and constrains the dynamics. In this letter, we employ large-scale density…

Strongly Correlated Electrons · Physics 2023-12-27 Sheng Yang , Zhiming Pan , Da-Chuan Lu , Xue-Jia Yu

The article deals with spin s=1 magnets. The symmetry conditions for normal and degenerate equilibrium states are defined and types of magnetic ordering found out. For each type of symmetry breaking the structure of source in the Gibbs…

Statistical Mechanics · Physics 2014-01-17 M. Y. Kovalevsky , A. V. Glushchenko

We study the relaxation of the bi-dimensional kinetically constrained spiral model. We show that due to the reversibility of the dynamic rules any unblocked state fully decorrelates in finite times irrespectively of the system being in the…

Statistical Mechanics · Physics 2009-09-28 Federico Corberi , Leticia F. Cugliandolo

We study the quantum dynamics of many-body systems, in the presence of dissipation due to the interaction with the environment, under Kibble-Zurek (KZ) protocols in which one Hamiltonian parameter is slowly, and linearly in time, driven…

Statistical Mechanics · Physics 2020-05-27 Davide Rossini , Ettore Vicari

Degenerate dynamical systems are characterized by symplectic structures whose rank is not constant throughout phase space. Their phase spaces are divided into causally disconnected, nonoverlapping regions such that there are no classical…

High Energy Physics - Theory · Physics 2015-06-04 Fiorenza de Micheli , Jorge Zanelli

We address the nature of spin dynamics in various integrable and non-integrable, isotropic and anisotropic quantum spin-$S$ chains, beyond the paradigmatic $S=1/2$ Heisenberg model. In particular, we investigate the algebraic long-time…

Strongly Correlated Electrons · Physics 2020-03-18 Maxime Dupont , Joel E. Moore

Many-body systems with multiple emergent time scales arise in various contexts, including classical critical systems, correlated quantum materials, and ultra-cold atoms. We investigate such non-trivial quantum dynamics in a new setting: a…

Strongly Correlated Electrons · Physics 2017-11-15 Xiao Chen , Eduardo Fradkin , William Witczak-Krempa

A quantum spin-$\frac{1}{2}$ chain with an axial symmetry is normally described by quasiparticles associated with the spins oriented along the axis of rotation. Kinetic constraints can enrich such a description by setting apart different…

Quantum Physics · Physics 2024-04-25 Maurizio Fagotti

A research program within the scope of theories on "Emergent Quantum Mechanics" is presented, which has gained some momentum in recent years. Via the modeling of a quantum system as a non-equilibrium steady-state maintained by a permanent…

Quantum Physics · Physics 2015-01-14 Gerhard Groessing

Quantum Information Processing relies on coherent quantum dynamics for a precise control of its basic operations. A swapping gate in a two-spin system exchanges the degenerate states |+,-> and |-,+>. In NMR, this is achieved turning on and…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Gonzalo Agustin Alvarez , Ernesto Pablo Danieli , Patricia Rebeca Levstein , Horacio Miguel Pastawski

The Kibble-Zurek mechanism describes the saturation of critical scaling upon dynamically approaching a phase transition. This is a consequence of the breaking of adiabaticity due to the scale set by the slow drive. By driving the gap…

Statistical Mechanics · Physics 2020-10-01 Björn Ladewig , Steven Mathey , Sebastian Diehl