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We study the impact of noise on the dynamics of entanglement in the transverse-field Ising chain, with the field quenched linearly across one or both of the quantum critical points of the model. Taking concurrence as a measure of…

Quantum Physics · Physics 2025-11-03 R. Jafari , J. Naji , A. Langari , Vahid Karimipour , Henrik Johannesson

We investigate the system size scaling of the net defect number created by a rapid quench in a second-order quantum phase transition from an O(N) symmetric state to a phase of broken symmetry. Using a controlled mean-field expansion for…

Statistical Mechanics · Physics 2015-03-17 Michael Uhlmann , Ralf Schützhold , Uwe R. Fischer

We expand on the investigation of the universal scaling properties in the early time behaviour of fast but smooth quantum quenches in a general $d$-dimensional conformal field theory deformed by a relevant operator of dimension $\Delta$…

High Energy Physics - Theory · Physics 2017-10-05 Sumit R. Das , Damián A. Galante , Robert C. Myers

We study the universal dynamical relaxation behaviors of a quantum XY chain following a quench, paying special attention to the case that the prequenched Hamiltonian, or the postquenched Hamiltonian, or both of them are at critical points…

Statistical Mechanics · Physics 2023-08-02 Yin-Tao Zou , Chengxiang Ding

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

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…

Based on the strong-disorder renormalization group method, a microscopic mechanism of defect formation in the quantum annealing of the random transverse-field Ising chain is proposed, which represents the annealing process as a gradual…

Statistical Mechanics · Physics 2025-09-19 Róbert Juhász

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 propose an optimized adiabatic-impulse (OAI) protocol that substantially reduces the evolution time for crossing a quantum phase transition while preserving Kibble-Zurek (KZ) scaling. Near criticality, the control parameter is ramped…

Quantum Physics · Physics 2026-05-22 Han-Chuan Kou , Zhi-Han Zhang , Xin-Hui Wu , Yan Zhou , Gang Chen , Peng Li

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

The Kibble-Zurek mechanism describes the saturation of critical scaling upon dynamically approaching a phase transition. This is a consequence of the breaking of adiabaticity due to the scale set by the slow drive. By driving the gap…

Statistical Mechanics · Physics 2020-10-01 Björn Ladewig , Steven Mathey , Sebastian Diehl

We report on the experimental observation of scaling in the time evolution following a sudden quench into the vicinity of a quantum critical point. The experimental system, a two-component Bose gas with coherent exchange between the…

We study the quenching dynamics of a many-body system in one dimension described by a Hamiltonian that has spatial periodicity. Specifically, we consider a spin-1/2 chain with equal xx and yy couplings and subject to a periodically varying…

Strongly Correlated Electrons · Physics 2015-06-03 Manisha Thakurathi , Wade DeGottardi , Diptiman Sen , Smitha Vishveshwara

We consider an open system near a quantum critical point that is suddenly moved towards the critical point. The bath-dominated diffusive non-equilibrium dynamics after the quench is shown to follow scaling behavior, governed by a critical…

Strongly Correlated Electrons · Physics 2015-03-11 Pia Gagel , Peter P. Orth , Jörg Schmalian

Several mean-field computations have revealed the existence of an out of equilibrium dynamical transition induced by quantum quenching an isolated system starting from its symmetry broken phase. In this work we focus on the quantum phi^4…

Statistical Mechanics · Physics 2015-06-12 Bruno Sciolla , Giulio Biroli

Quantum critical states exhibit strong quantum fluctuations and are therefore highly susceptible to perturbations. In this work we study the dynamical stability against a sudden coupling to these strong fluctuations by quenching the order…

Statistical Mechanics · Physics 2017-02-21 Markus Heyl

While quantum phase transitions share many characteristics with thermodynamic phase transitions, they are also markedly different as they occur at zero temperature. Hence, it is not immediately clear whether tools and frameworks that…

Statistical Mechanics · Physics 2025-10-16 Pierre Nazé , Marcus V. S. Bonança , Sebastian Deffner

We study the slow quenching dynamics (characterized by an inverse rate, $\tau^{-1}$) of a one-dimensional transverse Ising chain with nearest neighbor ferromagentic interactions across the quantum critical point (QCP) and analyze the…

Statistical Mechanics · Physics 2016-06-08 Shraddha Sharma , Uma Divakaran , Anatoli Polkovnikov , Amit Dutta

The quantum Ising chain has shortcuts to adiabaticity when operated with weak processes. However, when exactly do the non-equilibrium effects of the Kibble-Zurek mechanism, inherent to the system, appear in the optimal protocols in such a…

Quantum Physics · Physics 2023-06-18 Pierre Nazé

We study the quantum Ising model in the transverse inhomogeneous magnetic field. Such a system can be approached numerically through exact diagonalization and analytically through the renormalization group techniques. Basic insights into…

Statistical Mechanics · Physics 2017-11-22 Mateusz Łącki , Bogdan Damski