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How a closed system thermalizes, especially in the absence of global conservation laws but in the presence of disorder and interactions, is one of the central questions in non-equilibrium statistical mechanics. We explore this for a…

Disordered Systems and Neural Networks · Physics 2025-02-25 Soumya Bera , Ishita Modak , Roderich Moessner

Quantum many-body systems are emerging as key elements in the quest for quantum-based technologies and in the study of fundamental physics. In this study, we address the challenge of achieving fast and high-fidelity evolutions across…

Quantum Physics · Physics 2024-07-31 Hilario Espinós , Loris Maria Cangemi , Amikam Levy , Ricardo Puebla , Erik Torrontegui

We investigate the out-of-equilibrium dynamics of a relativistic $Z_2$-symmetric scalar field theory with Langevin dynamics in two and three spatial dimensions under linear driving across magnetic first-order phase transitions, close to and…

High Energy Physics - Phenomenology · Physics 2026-05-12 Leon J. Sieke , Jessica Fuchs , Lorenz von Smekal

Using free-fermionic techniques we study the entanglement entropy of a block of contiguous spins in a large finite quantum Ising chain in a transverse field, with couplings of different types: homogeneous, periodically modulated and random.…

Statistical Mechanics · Physics 2009-11-13 Ferenc Igloi , Yu-Cheng Lin

We consider the annealing dynamics of a one-dimensional Ising ferromagnet induced by a temperature quench in finite time. In the limit of slow cooling, the asymptotic two-point correlator is analytically found under Glauber dynamics, and…

Statistical Mechanics · Physics 2022-01-21 Jack J. Mayo , Zhijie Fan , Gia-Wei Chern , Adolfo del Campo

We have studied quantum phase transition induced by a quench in different one dimensional spin systems. Our analysis is based on the dynamical mechanism which envisages nonadiabaticity in the vicinity of the critical point. This causes spin…

Quantum Physics · Physics 2015-05-27 Banasri Basu , Pratul Bandyopadhyay , Priyadarshi Majumdar

We investigate the statistics of the work performed during a quench across a quantum phase transition using the adiabatic perturbation theory. It is shown that all the cumulants of work exhibit universal scaling behavior analogous to the…

Quantum Physics · Physics 2020-05-06 Zhaoyu Fei , Nahuel Freitas , Vasco Cavina , H. T. Quan , Massimiliano Esposito

We explore the dynamics of spontaneous symmetry breaking in a homogeneous system by thermally quenching an atomic gas with short-range interactions through the Bose-Einstein phase transition. Using homodyne matter-wave interferometry to…

Quantum Gases · Physics 2015-01-12 Nir Navon , Alexander L. Gaunt , Robert P. Smith , Zoran Hadzibabic

We solve the mean-field-like $p$-spin Ising model under a spatio-temporal inhomogeneous transverse field to study the effects of inhomogeneity on the performance of quantum annealing. We find that the problematic first-order quantum phase…

Quantum Physics · Physics 2018-10-23 Yuki Susa , Yu Yamashiro , Masayuki Yamamoto , Itay Hen , Daniel A. Lidar , Hidetoshi Nishimori

We consider the number distribution of topological defects resulting from the finite-time crossing of a continuous phase transition and identify signatures of universality beyond the mean value, predicted by the Kibble-Zurek mechanism.…

Statistical Mechanics · Physics 2020-06-24 Fernando J. Gómez-Ruiz , Jack J. Mayo , Adolfo del Campo

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

We study the nonequilibrium dynamics of the linear to zigzag structural phase transition exhibited by an ion chain confined in a trap with periodic boundary conditions. The transition is driven by reducing the transverse confinement at a…

Kibble-Zurek (KZ) mechanism describes the scaling behavior when driving a system across a continuous symmetry-breaking transition. Previous studies have shown that the KZ-like scaling behavior also lies in the topological transitions in the…

Statistical Mechanics · Physics 2024-10-21 Huan Yuan , Jinyi Zhang , Shuai Chen , Xiaotian Nie

A major drawback of adiabatic quantum computing (AQC) is fulfilling the energy gap constraint, which requires the total evolution time to scale inversely with the square of the minimum energy gap. Failure to satisfy this condition violates…

Quantum Physics · Physics 2025-10-10 Thi Ha Kyaw , Guillermo Romero , Gaurav Saxena

We use large-scale Monte Carlo simulations to test the Weinrib-Halperin criterion that predicts new universality classes in the presence of sufficiently slowly decaying power-law-correlated quenched disorder. While new universality classes…

Disordered Systems and Neural Networks · Physics 2019-11-06 Wenlong Wang , Hannes Meier , Jack Lidmar , Mats Wallin

We study the universality of work statistics performed during a quench in gapless quantum systems. We show that the cumulants of work scale separately in the fast and slow quench regimes, following a power law analogous to the universal…

Quantum Physics · Physics 2025-11-21 Donny Dwiputra , Mir Faizal , Francesco Marino , Freddy P. Zen

We study the effect of disorder on work exchange associated to quantum Hamiltonian processes by considering an Ising spin chain in which the strength of coupling between spins are randomly drawn from either Normal or Gamma distributions.…

Statistical Mechanics · Physics 2018-12-05 Yuanjian Zheng , Dario Poletti

We study quantum phase transitions in transverse-field Ising spin chains in which the couplings are random but hyperuniform, in the sense that their large-scale fluctuations are suppressed. We construct a one-parameter family of disorder…

Statistical Mechanics · Physics 2019-10-23 Philip J. D. Crowley , C. R. Laumann , Sarang Gopalakrishnan

Quantum phase transitions are characterised by the universal scaling laws in the critical region surrounding the transitions. This universality is also manifested in the critical real-time dynamics through the quantum Kibble-Zurek…

Quantum Physics · Physics 2026-04-21 Jose Soto Garcia , Natalia Chepiga

Based on a relationship with continuous-time random walks discovered by Igl\'oi, Turban, and Rieger [Phys. Rev. E {\bf 59}, 1465 (1999)], we derive exact lower and upper bounds on the lowest energy gap of open transverse-field Ising chains,…

Statistical Mechanics · Physics 2022-08-11 Róbert Juhász