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We investigate non-equilibrium dynamical scaling in adiabatic quench processes across quantum multicritical points. Our analysis shows that the resulting power-law scaling depends sensitively on the control path, and that anomalous critical…

Statistical Mechanics · Physics 2015-05-14 Shusa Deng , Gerardo Ortiz , Lorenza Viola

Phase transitions correspond to the singular behavior of physical systems in response to continuous control parameters like temperature or external fields. Near continuous phase transitions, associated with the divergence of a correlation…

We explore the robustness of universal dynamical scaling behavior in a quantum system near criticality with respect to initialization in a large class of states with finite energy. By focusing on a homogeneous XY quantum spin chain in a…

Statistical Mechanics · Physics 2015-05-20 Shusa Deng , Gerardo Ortiz , Lorenza Viola

Dynamical quantum phase transitions (DQPTs) at critical times appear as non-analyticities during nonequilibrium quantum real-time evolution. Although there is evidence for a close relationship between DQPTs and equilibrium phase…

Statistical Mechanics · Physics 2015-10-06 Markus Heyl

In this work we analyze the universal scaling functions and the critical exponents at the upper critical dimension of a continuous phase transition. The consideration of the universal scaling behavior yields a decisive check of the value of…

Statistical Mechanics · Physics 2009-11-10 S. Lubeck , P. C. Heger

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

Emergent symmetry is one of the characteristic phenomena in deconfined quantum critical point (DQCP). As its nonequilibrium generalization, the dual dynamic scaling was recently discovered in the nonequilibrium imaginary-time relaxation…

Strongly Correlated Electrons · Physics 2022-03-22 Yu-Rong Shu , Shuai Yin

The study of quantum phase transitions requires the preparation of a many-body system near its ground state, a challenging task for many experimental systems. The measurement of quench dynamics, on the other hand, is now a routine practice…

Quantum Physics · Physics 2019-09-13 Paraj Titum , Joseph T. Iosue , James R. Garrison , Alexey V. Gorshkov , Zhe-Xuan Gong

We investigate the robustness of a dynamical phase transition against quantum fluctuations by studying the impact of a ferromagnetic nearest-neighbour spin interaction in one spatial dimension on the non-equilibrium dynamical phase diagram…

Statistical Mechanics · Physics 2018-04-09 A. Lerose , J. Marino , B. Zunkovic , A. Gambassi , A. Silva

One-dimensional non-equilibrium kinetic Ising models evolving under the competing effect of spin flips at zero temperature and nearest-neighbour spin exchanges exhibiting directed percolation-like parity conserving(PC) phase transition on…

Condensed Matter · Physics 2009-10-28 N. Menyhard , G. Odor

We present a general dynamic finite-size scaling theory for the quantum dynamics after an abrupt quench, at both continuous and first-order quantum transitions. For continuous transitions, the scaling laws are naturally ruled by the…

Statistical Mechanics · Physics 2018-06-01 Andrea Pelissetto , Davide Rossini , Ettore Vicari

We investigate the quantum dynamics of many-body systems subject to local, i.e. restricted to a limited space region, time-dependent perturbations. If the perturbation drives the system across a quantum transition, an off-equilibrium…

Statistical Mechanics · Physics 2018-03-21 Andrea Pelissetto , Davide Rossini , Ettore Vicari

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

The non-equilibrium dynamics of an isolated quantum system after a sudden quench to a dynamical critical point is expected to be characterized by scaling and universal exponents due to the absence of time scales. We explore these features…

Statistical Mechanics · Physics 2015-11-04 Anna Maraga , Alessio Chiocchetta , Aditi Mitra , Andrea Gambassi

We propose a method to study dynamical response of a quantum system by evolving it with an imaginary-time dependent Hamiltonian. The leading non-adiabatic response of the system driven to a quantum-critical point is universal and…

Other Condensed Matter · Physics 2015-05-28 C. De Grandi , A. Polkovnikov , A. W. Sandvik

Utilizing ultracold spinor gases as large-scale, many-body quantum simulation platforms, we establish a toolbox for the precise control, characterization, and detection of nonequilibrium dynamics via internal spinor phases. We develop a…

Quantum Gases · Physics 2026-05-04 J. O. Austin-Harris , P. Sigdel , C. Binegar , S. E. Begg , T. Bilitewski , Y. Liu

Uncovering and understanding universal dynamics in matter far from equilibrium remains a key challenge. In this work, we identify a so far unrecognized form of universal behavior that emerges after a sudden symmetry-breaking quench at…

Quantum Physics · Physics 2026-05-11 Tobias Wiener , Laurin Brunner , Markus Heyl

Scaling ideas and renormalization group approaches proved crucial for a deep understanding and classification of critical phenomena in thermal equilibrium. Over the past decades, these powerful conceptual and mathematical tools were…

Statistical Mechanics · Physics 2017-03-29 Uwe C. Täuber

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 review recent advances in understanding the universal scaling properties of non-equilibrium phase transitions in non-ergodic disordered systems. We discuss dynamical critical points (also known as eigenstate phase transitions) between…

Disordered Systems and Neural Networks · Physics 2017-04-28 S. A. Parameswaran , Andrew C. Potter , Romain Vasseur
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