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We study dynamical phase transitions from antiferromagnetic to paramagnetic states driven by an interaction quench in the fermionic Hubbard model using the nonequilibrium dynamical mean-field theory. We identify two dynamical transition…

Strongly Correlated Electrons · Physics 2013-04-16 Naoto Tsuji , Martin Eckstein , Philipp Werner

We propose a new type of experimentally feasible quantum quench protocol in which a quantum system is prepared in a coherent, localized excited state of a Hamiltonian. During the evolution of this solitonic excitation, the microscopic…

Quantum Gases · Physics 2016-03-10 Fabio Franchini , Andrey Gromov , Manas Kulkarni , Andrea Trombettoni

Universality often emerges in low-energy equilibrium physics of quantum many-body systems, despite their microscopic complexity and variety. Recently, there has been a growing interest in studying far-from-equilibrium dynamics of quantum…

Strongly Correlated Electrons · Physics 2024-10-16 Yuchen Li , Tian-Gang Zhou , Ze Wu , Pai Peng , Shengyu Zhang , Riqiang Fu , Ren Zhang , Wei Zheng , Pengfei Zhang , Hui Zhai , Xinhua Peng , Jiangfeng Du

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

We investigate the short time quantum critical dynamics in the imaginary time relaxation processes of finite size systems. Universal scaling behaviors exist in the imaginary time evolution and in particular, the system undergoes a critical…

Strongly Correlated Electrons · Physics 2017-09-20 Yu-Rong Shu , Shuai Yin , Dao-Xin Yao

Closed quantum systems far from thermal equilibrium can show universal dynamics near attractor solutions, known as non-thermal fixed points, generically in the form of scaling behavior in space and time. A systematic classification and…

Quantum Gases · Physics 2025-04-21 Aleksandr N. Mikheev , Ido Siovitz , Thomas Gasenzer

A quantum phase transition may occur in the ground state of a system at zero temperature when a controlling field or interaction is varied. The resulting quantum fluctuations which trigger the transition produce scaling behavior of various…

Strongly Correlated Electrons · Physics 2014-05-14 Abolfazl Bayat , Henrik Johannesson , Sougato Bose , Pasquale Sodano

We study spectral properties and the dynamics after a quench of one-dimensional spinless fermions with short-range interactions and long-range random hopping. We show that a sufficiently fast decay of the hopping term promotes localization…

Disordered Systems and Neural Networks · Physics 2012-05-24 Ehsan Khatami , Marcos Rigol , Armando Relaño , Antonio M. Garcia-Garcia

We evaluate out of time ordered correlators in certain low dimensional quantum systems at zero temperature, subjected to homogenous quantum quenches. We find that when the Lyapunov exponent exists, it can be identified with the quenched…

High Energy Physics - Theory · Physics 2024-09-23 Adith Sai Aramthottil , Diptarka Das , Suchetan Das , Bidyut Dey

Experimentally there exist many materials with first-order phase transitions at finite temperature that display quantum criticality. Classically, a strain-energy density coupling is known to drive first-order transitions in compressible…

Strongly Correlated Electrons · Physics 2021-01-05 Premala Chandra , Piers Coleman , Mucio A. Continentino , Gilbert G. Lonzarich

We show that an out-of-equilibrium percolation transition occurs after quenching ferromagnetic Ising-like systems across their magnetic first-order transitions. As a paradigmatic example, we consider a two-dimensional Ising system driven…

Statistical Mechanics · Physics 2026-03-16 Andrea Pelissetto , Davide Rossini , Ettore Vicari

We study the dynamical melting of "hot" one-dimensional many-body localized systems. As disorder is weakened below a critical value these non-thermal quantum glasses melt via a continuous dynamical phase transition into classical thermal…

Disordered Systems and Neural Networks · Physics 2015-09-23 Andrew C. Potter , Romain Vasseur , S. A. Parameswaran

Universal scaling near phase transitions is one of the central ideas of physics, linking the growth of spatial correlations to the slowing down of dynamics. So far, direct experimental access to this critical behavior has remained largely…

We present a method to calculate short-time non-equilibrium universal exponents within the functional renormalization-group scheme. As an example, we consider the classical critical dynamics of the relaxational model A after a quench of the…

Statistical Mechanics · Physics 2016-11-10 Alessio Chiocchetta , Andrea Gambassi , Sebastian Diehl , Jamir Marino

Quantum critical points ubiquitously emerge in strongly correlated systems, with their influence persisting at finite temperatures and external fields. A paradigmatic example is the quantum Ising magnet, where transverse field $g$…

Strongly Correlated Electrons · Physics 2025-12-08 Enze Lv , Ning Xi , Yuliang Jin , Wei Li

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…

We investigate the effects of fluctuations on the dynamics of an isolated quantum system represented by a $\phi^4$ field theory with $O(N)$ symmetry after a quench in $d>2$ spatial dimensions. A perturbative renormalization-group approach…

Statistical Mechanics · Physics 2016-11-23 Alessio Chiocchetta , Marco Tavora , Andrea Gambassi , Aditi Mitra

Universal scaling laws govern the density of topological defects generated while crossing an equilibrium continuous phase transition. The Kibble-Zurek mechanism (KZM) predicts the dependence on the quench time for slow quenches. By…

Statistical Mechanics · Physics 2023-12-07 Wei-can Yang , Makoto Tsubota , Adolfo del Campo , Hua-Bi Zeng

Quantum criticality provides an important route to revealing universal non-equilibrium behaviour. A canonical example of a quantum critical point is the Bose-Hubbard model, which we study under the application of an electric field. A…

Strongly Correlated Electrons · Physics 2015-06-18 A. M. Berridge , A. G. Green

We outline a kinetic theory of non-thermal fixed points for the example of a dilute Bose gas, partially reviewing results obtained earlier, thereby extending, complementing, generalizing and straightening them out. We study universal…

Quantum Gases · Physics 2019-05-16 Isara Chantesana , Asier Piñeiro Orioli , Thomas Gasenzer