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We study critical dynamics through time evolution of quantum field theories driven to a Lifshitz-like fixed point, with $z>1$, under relevant deformations. The deformations we consider are fast smooth quantum quenches, namely when the…

High Energy Physics - Theory · Physics 2019-06-18 M. Reza Mohammadi Mozaffar , Ali Mollabashi

Quantum quenches in continuum field theory across critical points are known to display different scaling behaviours in different regimes of the quench rate. We extend these results to integrable lattice models such as the transverse field…

High Energy Physics - Theory · Physics 2018-01-17 Diptarka Das , Sumit R. Das , Damián A. Galante , Robert C. Myers , Krishnendu Sengupta

We revisit the effects of short-ranged random quenched disorder on the universal scaling properties of the classical $N$-vector model with cubic anisotropy. We set up the nonconserved relaxational dynamics of the model, and study the…

Statistical Mechanics · Physics 2020-09-22 Sudip Mukherjee , Abhik Basu

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

Deconfined quantum criticality (DQC) arises from fractionalization of quasi-particles and leads to fascinating behaviors beyond the Landau-Ginzburg-Wilson description of phase transitions. Here, we study the critical dynamics when driving a…

Strongly Correlated Electrons · Physics 2025-04-15 Yu-Rong Shu , Shao-Kai Jian , Anders W. Sandvik , Shuai Yin

We study the out-of-equilibrium Kibble-Zurek (KZ) dynamics in quantum Ising chains in a transverse field, driven by a time-dependent longitudinal field $h(t)=t/t_s$ ($t_s$ is the time scale of the protocol), across their first-order quantum…

Statistical Mechanics · Physics 2025-10-10 Andrea Pelissetto , Davide Rossini , Ettore Vicari

We investigate the non-equilibrium dynamics across the miscible-immiscible phase separation in a binary mixture of Bose-Einstein condensates. The excitation spectra reveal that the Landau critical velocity vanishes at the critical point,…

Quantum Gases · Physics 2019-03-27 Xunda Jiang , Shuyuan Wu , Qinzhou Ye , Chaohong Lee

We study how universal properties of quantum quenches across critical points are modified by a weak coupling to thermal dissipation, focusing on the paradigmatic case of the transverse field Ising model. Beyond the standard quench-induced…

Quantum Gases · Physics 2015-08-05 P. Nalbach , Smitha Vishveshwara , Aashish A. Clerk

We use laser-cooled ion Coulomb crystals in the well-controlled environment of a harmonic radiofrequency ion trap to investigate phase transitions and defect formation. Topological defects in ion Coulomb crystals (kinks) have been recently…

Universality is key to the theory of phase transition stating that the equilibrium properties of observables near a phase transition can be classified according to few critical exponents. These exponents rule an universal scaling behaviour…

We experimentally probe the distribution of kink pairs resulting from driving a one-dimensional quantum Ising chain through the paramagnet-ferromagnet quantum phase transition, using a single trapped ion as a quantum simulator in momentum…

In this paper we study the driven critical dynamics in the three-state quantum chiral clock model. This is motivated by a recent experiment, which verified the Kibble-Zurek mechanism and the finite-time scaling in a reconfigurable…

Statistical Mechanics · Physics 2019-05-22 Rui-Zhen Huang , Shuai Yin

We consider the defect production of a quantum system, initially prepared in a current-carrying non-equilibrium state, during its unitary driving through a quantum critical point. At low values of the initial current, the quantum…

Statistical Mechanics · Physics 2016-03-29 Dragi Karevski , Rosemary J. Harris

The conventional Kibble-Zurek mechanism and the finite-time scaling provide universal descriptions of the driven critical dynamics from gapped initial states based on the adiabatic-impulse scenario. Here we investigate the driven critical…

Strongly Correlated Electrons · Physics 2025-07-22 Zhi Zeng , Yin-Kai Yu , Zhi-Xuan Li , Zi-Xiang Li , Shuai Yin

Using Monte Carlo simulations, we investigate the dynamical properties of the Baxter-Wu (BW) model under linear quenches. For the linear cooling process, the scaling behavior of the excess defect density in the critical region aligns well…

Statistical Mechanics · Physics 2025-04-01 Chen Tang , Konstantinos Sfairopoulos , Wanzhou Zhang , Chengxiang Ding

We use Monte Carlo simulations to demonstrate generic scaling aspects of classical phase transitions approached through a quench (or annealing) protocol where the temperature changes as a function of time with velocity $v$. Using a…

Statistical Mechanics · Physics 2014-02-25 Cheng-Wei Liu , Anatoli Polkovnikov , Anders W. Sandvik

Recently universal dynamic scaling is observed in several systems, which exhibit a spatiotemporal self-similar scaling behavior, analogous to the spatial scaling near phase transitions. The latter arises from the emergent continuous scaling…

Quantum Gases · Physics 2023-08-28 Jia-nan Cui , Zhengqiang Zhou , Mingyuan Sun

Measurement-induced phase transitions (MIPT), characterizing abrupt changes in entanglement properties in quantum many-body systems subjected to unitary evolution with interspersed projective measurements, have garnered increasing interest.…

Quantum Physics · Physics 2024-11-12 Wantao Wang , Shuo Liu , Jiaqiang Li , Shi-Xin Zhang , Shuai Yin

We study the influence of topology on the quench dynamics of a system driven across a quantum critical point. We show how the appearance of certain edge states, which fully characterise the topology of the system, dramatically modifies the…

Strongly Correlated Electrons · Physics 2009-04-15 A. Bermudez , D. Patanè , L. Amico , M. A. Martin-Delgado

We demonstrate that conventional artificial deep neural networks operating near the phase boundary of the signal propagation dynamics, also known as the edge of chaos, exhibit universal scaling laws of absorbing phase transitions in…

Machine Learning · Statistics 2025-07-21 Keiichi Tamai , Tsuyoshi Okubo , Truong Vinh Truong Duy , Naotake Natori , Synge Todo