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We propose a measure of order in the context of nonequilibrium field theory and argue that this measure, which we call relative configurational entropy (RCE), may be used to quantify the emergence of coherent low-entropy configurations,…

High Energy Physics - Theory · Physics 2012-08-13 Marcelo Gleiser , Nikitas Stamatopoulos

Spontaneous symmetry breaking originats in quantum mechanical measurement of the relevant observable defining the physical situation, order parameter is the average of this observable. A modification is made on the random-phase postulate…

Quantum Physics · Physics 2008-02-03 Yu Shi

The global phase diagram of wetting in the two-dimensional (2d) Ising model is obtained through exact calculation of the surface excess free energy. Besides a surface field for inducing wetting, a surface-coupling enhancement is included.…

Statistical Mechanics · Physics 2016-02-03 X. T. Wu , D. B. Abraham , J. O. Indekeu

We investigate the coupled dynamics of symmetry breaking and phase separation during quenches across the critical point in a first-order phase transition. Based on the Einstein-Maxwell-scalar theory, we construct a holographic superfluid…

High Energy Physics - Theory · Physics 2026-04-02 Zi-Qiang Zhao , Zhang-Yu Nie , Jing-Fei Zhang , Xin Zhang

We employ quench dynamics as an effective tool to probe different universality classes of topological phase transitions. Specifically, we study a model encompassing both Dirac-like and nodal loop criticalities. Examining the Kibble-Zurek…

Statistical Mechanics · Physics 2022-12-06 Karin Sim , R. Chitra , Paolo Molignini

Universality and scaling laws are hallmarks of equilibrium phase transitions and critical phenomena. However, extending these concepts to non-equilibrium systems is an outstanding challenge. Despite recent progress in the study of dynamical…

We present high-accuracy quasi-stationary (QS) simulations of the contact process in quenched networks, built using the configuration model with both structural and natural cutoffs. The critical behavior is analyzed in the framework of the…

Statistical Mechanics · Physics 2011-12-09 Silvio C. Ferreira , Ronan S. Ferreira , Claudio Castellano , Romualdo Pastor-Satorras

Scale invariance usually occurs in extended systems where correlation functions decay algebraically in space and/or time. Here we introduce a new type of scale invariance, occurring in the distribution functions of physical observables. At…

Quantum Physics · Physics 2018-09-19 Emanuele G. Dalla Torre

The study of entanglement spectra is a powerful tool to detect or elucidate universal behaviour in quantum many-body systems. We investigate the scaling of the entanglement (or Schmidt) gap $\delta\xi$, i.e., the lowest laying gap of the…

Statistical Mechanics · Physics 2021-01-04 Sascha Wald , Raul Arias , Vincenzo Alba

We investigate quantum quenches starting from a critical point and experimentally probe the associated defect statistics using a trapped-ion quantum simulator of the transverse-field Ising model. The cumulants of the defect number…

Validity of modified finite-size scaling above the upper critical dimension is demonstrated for the quantum phase transition whose dynamical critical exponent is $z=2$. We consider the $N$-component Bose-Hubbard model, which is exactly…

Statistical Mechanics · Physics 2010-01-27 Yasuyuki Kato , Naoki Kawashima

We investigate the emergence of universal dynamical scaling in quantum critical spin systems adiabatically driven out of equilibrium, with emphasis on quench dynamics which involves non-isolated critical points (i.e., critical regions) and…

Statistical Mechanics · Physics 2009-11-13 Shusa Deng , Gerardo Ortiz , Lorenza Viola

Unidirectionally coupled systems which exhibit phase transitions into an absorbing state are investigated at the multicritical point. We find that for initial conditions with isolated particles, each hierarchy level exhibits an…

Statistical Mechanics · Physics 2009-11-10 Sungchul Kwon , Gunter M. Schutz

The formation of an equilibrium quantum state from an uncorrelated thermal one through the dynamical crossing of a phase transition is a central question of non-equilibrium many-body physics. During such crossing, the system breaks its…

Quantum Gases · Physics 2018-06-18 I. -K. Liu , S. Donadello , G. Lamporesi , G. Ferrari , S. -C. Gou , F. Dalfovo , N. P. Proukakis

Scaling describes how a given quantity $Y$ that characterizes a system varies with its size $P$. For most complex systems it is of the form $Y\sim P^\beta$ with a nontrivial value of the exponent $\beta$, usually determined by regression…

Physics and Society · Physics 2019-10-16 Marc Barthelemy

We present a finite-size scaling analysis of the droplet condensation-evaporation transition of a lattice gas (in two and three dimensions) and a Lennard-Jones gas (in three dimensions) at fixed density. Parallel multicanonical simulations…

Soft Condensed Matter · Physics 2015-08-04 Johannes Zierenberg , Wolfhard Janke

The performance of a quantum error-correction process is determined by the likelihood that a random configuration of errors introduced to the system will lead to the corruption of encoded logical information. In this work we compare two…

We show that phase transitions in the quantum $q$-state clock model for $q \leq 4$ can be characterized by an enhanced decay behavior of the Loschmidt echo via a small quench. The quantum criticality of the quantum $q$-state clock model is…

Strongly Correlated Electrons · Physics 2023-04-19 Jia-Chen Tang , Wen-Long You , Myung-Joong Hwang , Gaoyong Sun

We demonstrate a novel mechanism for the formation of topological defects in a first order phase transition for theories in the presence of small explicit symmetry breaking terms. We carry out numerical simulations of collisions of two…

High Energy Physics - Phenomenology · Physics 2009-10-28 Sanatan Digal , Ajit M. Srivastava

We demonstrate that the dynamical phase transition of the quantum $\mathcal{O}(N)$ model at large $N$ leaves universal fingerprints in the infrared structure of the entanglement spectrum. While the leading contribution to the entanglement…

Quantum Physics · Physics 2026-05-25 Frederick del Pozo , Tangi Morvan , Irénée Frérot , Nicolas Cherroret