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We study the patterns generated in finite-time sweeps across symmetry-breaking bifurcations in individual-based models. Similar to the well-known Kibble-Zurek scenario of defect formation, large-scale patterns are generated when model…

Statistical Mechanics · Physics 2013-12-04 Peter Ashcroft , Tobias Galla

We compute concurrence and negativity as measures of two-site entanglement generated by a power-law quench (characterized by a rate 1/tau and an exponent alpha) which takes an anisotropic XY chain in a transverse field through a quantum…

Statistical Mechanics · Physics 2015-05-13 K. Sengupta , Diptiman Sen

We introduce a gravitational lattice theory defined in an AdS$_3$ black hole background that provides a holographic dual description of the linear-to-zigzag structural phase transition, characterized by the spontaneous breaking of parity…

High Energy Physics - Theory · Physics 2023-07-26 Chuan-Yin Xia , Hua-Bi Zeng , Chiang-Mei Chen , Adolfo del Campo

We study the large deviations statistics of the intensive work done by changing globally a control parameter in a thermally isolated quantum many-body system. We show that, upon approaching a critical point, large deviations well below the…

Statistical Mechanics · Physics 2012-12-27 Andrea Gambassi , Alessandro Silva

The cosmological evolution of topological defect networks can broadly be divided into two stages. At early times they are friction-dominated due to particle scattering and therefore non-relativistic, and may either be conformally stretched…

High Energy Physics - Phenomenology · Physics 2016-12-30 C. J. A. P. Martins , I. Yu. Rybak , A. Avgoustidis , E. P. S. Shellard

We study the quantum dynamics generated by a two-axis counter-twisting Hamiltonian from an initial spin coherent state in a spin-$1/2$ ensemble. A characteristic feature of the two-axis counter-twisting Hamiltonian is the existence of four…

Quantum Physics · Physics 2015-10-21 Dariusz Kajtoch , Emilia Witkowska

Kibble-Zurek mechanism is a theory of defect formation in a non-equilibrium continuous phase transition. So far the theory has been successfully tested by numerical simulations and condensed matter experiments in a number of systems with…

Condensed Matter · Physics 2007-05-23 Jacek Dziarmaga

Quantum quenches display universal scaling in several regimes. For quenches which start from a gapped phase and cross a critical point, with a rate slow compared to the initial gap, many systems obey Kibble-Zurek scaling. More recently, a…

High Energy Physics - Theory · Physics 2017-06-14 Sumit R. Das , Damian A. Galante , Robert C. Myers

The transverse field in the quantum Ising chain is linearly ramped from the para- to the ferromagnetic phase across the quantum critical point at a rate characterized by a quench time $\tau_Q$. We calculate a connected kink-kink correlator…

Quantum Physics · Physics 2021-09-08 Radosław J. Nowak , Jacek Dziarmaga

We introduce a simple criterion for lattice models to predict quantitatively the crossover between the classical and the quantum scaling of the Kibble-Zurek mechanism, as the one observed in a quantum $\phi^4$-model on a 1D lattice [Phys.…

Exploiting the universality between the QCD critical point and the three dimensional Ising model, closed form expressions derived (arXiv:1506.00645 ) for non-equilibrium critical cumulants on the crossover side of the critical point reveal…

High Energy Physics - Phenomenology · Physics 2016-11-30 Swagato Mukherjee , Raju Venugopalan , Yi Yin

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

The conventional Kibble-Zurek (KZ) mechanism, describing driven dynamics across critical points based on the adiabatic-impulse scenario (AIS), have attracted broad attentions. However, the driven dynamics in tricritical point with two…

Statistical Mechanics · Physics 2025-11-20 Ting-Long Wang , Yi-Fan Jiang , Shuai Yin

We show that a thermally isolated system driven across a quantum phase transition by a noisy control field exhibits anti-Kibble-Zurek behavior, whereby slower driving results in higher excitations. We characterize the density of excitations…

Quantum Physics · Physics 2016-08-23 Anirban Dutta , Armin Rahmani , Adolfo del Campo

We investigate the quench dynamics of an open quantum system involving a quantum phase transition. In the isolated case, the quench dynamics involving the phase transition exhibits a number of scaling relations with the quench rate as…

Quantum Physics · Physics 2020-06-15 Ricardo Puebla , Andrea Smirne , Susana F. Huelga , Martin B. Plenio

We study analytically and numerically quench dynamics and defects formation in the quantum Ising model in the presence of a time-dependent transverse magnetic field. We generalize the Landau-Ziner formula to the case of non-adiabatic…

Statistical Mechanics · Physics 2019-01-01 Alexander I Nesterov , Mónica F Ramírez

If a system is driven at finite-rate through a phase transition by varying an intensive parameter, the order parameter shatters into finite domains. The Kibble-Zurek mechanism predicts the typical size of these domains, which are governed…

Statistical Mechanics · Physics 2017-11-20 Sebastian Deffner

We investigate the nonequilibrium dynamics induced by a finite-time linear quench in the XY chain. Initially, we examine the dynamical quantum phase transition, characterized by the nonanalytic behavior of the Loschmidt amplitude. We find…

Statistical Mechanics · Physics 2024-11-19 Kaiyuan Cao , Peiqing Tong

We explore the dynamics of spontaneous symmetry breaking in a homogeneous system by thermally quenching an atomic gas with short-range interactions through the Bose-Einstein phase transition. Using homodyne matter-wave interferometry to…

Quantum Gases · Physics 2015-01-12 Nir Navon , Alexander L. Gaunt , Robert P. Smith , Zoran Hadzibabic

The non-equilibrium evolution of the block entanglement entropy is investigated in the XY chain in a transverse magnetic field after the Hamiltonian parameters are suddenly changed from and to arbitrary values. Using Toeplitz matrix…

Statistical Mechanics · Physics 2009-11-13 Maurizio Fagotti , Pasquale Calabrese