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Nonequilibrium many-body physics is one of the core problems in modern physics, while the dynamical scaling from a gapless phase to the critical point is a most important challenge with very few knowledge so far. In the driven dynamics with…

Strongly Correlated Electrons · Physics 2026-02-17 Zhe Wang , Chengxiang Ding , Dongxu Liu , Fuxiang Li , Zheng Yan , Shuai Yin

Near a continuous phase transition, systems with different microscopic origins display universal dynamics if their underlying symmetries are compatible. In a thermally quenched system, the Kibble-Zurek mechanism for the creation of…

Quantum Gases · Physics 2019-12-02 Bumsuk Ko , Jee Woo Park , Y. Shin

The spatial Kibble-Zurek mechanism (KZM) is applied to the Kitaev chain with inhomogeneous pairing interactions that vanish in half of the lattice and result in a quantum critical point separating the superfluid and normal-gas phases in…

Superconductivity · Physics 2024-07-29 Yan He , Chih-Chun Chien

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

The Kibble-Zurek mechanism (KZM) predicts that the average number of topological defects generated upon crossing a continuous or quantum phase transition obeys a universal scaling law with the quench time. Fluctuations in the defect number…

Quantum Physics · Physics 2023-12-06 Federico Balducci , Mathieu Beau , Jing Yang , Andrea Gambassi , Adolfo del Campo

We study the driven dynamics across the critical points of the Yang-Lee edge singularities (YLESes) in a finite-size quantum Ising chain with an imaginary symmetry-breaking field. In contrast to the conventional classical or quantum phase…

Statistical Mechanics · Physics 2017-02-14 Shuai Yin , Guang-Yao Huang , Chung-Yu Lo , Pochung Chen

The trapped ion quantum simulator has demonstrated qualitative properties of different physical models for up to tens of ions. In particular, a linear ion chain naturally hosts long-range Ising interactions under the laser driving, which…

Quantum Physics · Physics 2023-01-02 B. -W. Li , Y. -K. Wu , Q. -X. Mei , R. Yao , W. -Q. Lian , M. -L. Cai , Y. Wang , B. -X. Qi , L. Yao , L. He , Z. -C. Zhou , L. -M. Duan

Two conducting quantum systems coupled only via interactions can exhibit the phenomenon of Coulomb drag, in which a current passed through one layer can pull a current along in the other. However, in systems with particle-hole symmetry --…

Strongly Correlated Electrons · Physics 2019-12-16 William Berdanier , Thomas Scaffidi , Joel E. Moore

The Kibble-Zurek mechanism (KZM) predicts the density of topological defects produced in the dynamical processes of phase transitions in systems ranging from cosmology to condensed matter and quantum materials. The similarity between KZM…

Near a critical point, the equilibrium relaxation time of a system diverges and any change of control/thermodynamic parameters leads to non-equilibrium behavior. The Kibble-Zurek problem is to determine the dynamical evolution of the system…

Statistical Mechanics · Physics 2012-09-20 Anushya Chandran , Amir Erez , Steven S. Gubser , S. L. Sondhi

The Kibble mechanism plays a prominent role in the theory of the early Universe, as an explanation of the possible formation of cosmic strings. Zurek suggested the analogous effect in liquid helium under rapid cooling, and he conjectured -…

Statistical Mechanics · Physics 2025-07-23 José Armando Pérez-Loera , Wolfgang Bietenholz

We study the driven critical dynamics with an equilibrium initial state near a quantum critical point. In contrast to the original Kibble-Zurek mechanism, which describes the driven dynamics starting from an adiabatic stage that is far from…

Statistical Mechanics · Physics 2016-08-29 Shuai Yin , Chung-Yu Lo , Pochung Chen

We demonstrate the existence of universal features in the finite-time thermodynamics of quantum machines by considering a many-body quantum Otto cycle in which the working medium is driven across quantum critical points during the unitary…

Quantum Physics · Physics 2020-11-20 Revathy B. S. , Victor Mukherjee , Uma Divakaran , Adolfo del Campo

Quasi-static transformations, or slow quenches, of many-body quantum systems across quantum critical points create topological defects. The Kibble-Zurek mechanism regulates the appearance of defects in a local quantum system through a…

Quantum Physics · Physics 2024-09-16 Stefano Gherardini , Lorenzo Buffoni , Nicolò Defenu

The relaxation of uniform quantum systems with finite-range interactions after a quench is generically driven by the ballistic propagation of long-lived quasi-particle excitations triggered by a sufficiently small quench. Here we…

Quantum Gases · Physics 2018-02-07 Irénée Frérot , Piero Naldesi , Tommaso Roscilde

Quantum simulations of the Bose-Hubbard model (BHM) at commensurate filling can follow spreading of correlations after a sudden quench for times long enough to estimate their propagation velocities. In this work we perform tensor network…

Quantum Gases · Physics 2023-05-03 Jacek Dziarmaga , Jakub M. Mazur

Long-range spin-spin interactions are known to generate non-equilibrium dynamics which can squeeze the collective spin of a quantum spin ensemble in a scalable manner, leading to states whose metrologically useful entanglement grows with…

Quantum Physics · Physics 2024-04-22 Tommaso Roscilde , Filippo Caleca , Adriano Angelone , Fabio Mezzacapo

Universality and scaling are fundamental concepts in equilibrium continuous phase transitions. Here, we unveil a unique and universal scaling behavior of the critical time in slowly driven dynamical quantum phase transition. Going beyond…

Statistical Mechanics · Physics 2024-09-26 Xiang Zhang , Liangdong Hu , Fuxiang Li

We show that the symmetry-breaking gap of the quantum Ising model in the transverse field can be extracted from free evolution of the longitudinal magnetization taking place after a gradual quench of the magnetic field. We perform for this…

Statistical Mechanics · Physics 2020-02-19 Michał Białończyk , Bogdan Damski

We analyze quantum systems under a broad class of protocols in which the temperature and a Hamiltonian control parameter are ramped simultaneously and, in general, in a nonlinear fashion toward a quantum critical point. Using an open-system…

Quantum Physics · Physics 2026-01-21 Johannes N. Kriel , Emma C. King , Michael Kastner