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Half a century ago, T. Kibble proposed a scenario for topological defect formation from symmetry breaking during the expansion of the early Universe. W. Zurek later crystallized the concept to superfluid helium, predicting a power-law…

Quantum Gases · Physics 2023-10-10 Kyuhwan Lee , Sol Kim , Taehoon Kim , Yong-il Shin

We carry out simulated annealing and employ a generalized Kibble-Zurek scaling hypothesis to study the 2D Ising spin glass with normal-distributed couplings. The system has an equilibrium glass transition at temperature $T=0$. From a…

Statistical Mechanics · Physics 2017-11-08 Na Xu , Kai-Hsin Wu , Shanon J. Rubin , Ying-Jer Kao , Anders W. Sandvik

Despite very promising results, capturing the dynamics of complex quantum systems with neural-network ans\"atze has been plagued by several problems, one of which being stochastic noise that makes the dynamics unstable and highly dependent…

Quantum Physics · Physics 2023-08-24 Kaelan Donatella , Zakari Denis , Alexandre Le Boité , Cristiano Ciuti

We investigate quantum scaling phenomena driven by lower-dimensional defects in quantum Ising-like models. We consider quantum Ising rings in the presence of a bond defect. In the ordered phase, the system undergoes a quantum transition…

Statistical Mechanics · Physics 2015-04-29 Massimo Campostrini , Andrea Pelissetto , Ettore Vicari

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 generalize and apply the key elements of the Kibble-Zurek framework of nonequilibrium phase transitions to study the non-equilibrium critical cumulants near the QCD critical point. We demonstrate the off-equilibrium critical cumulants…

High Energy Physics - Phenomenology · Physics 2018-03-14 Swagato Mukherjee , Raju Venugopalan , Yi Yin

We drive the one-dimensional quantum Ising chain in the transverse field from the paramagnetic phase to the critical point and study its free evolution there. We analyze excitation of such a system at the critical point and dynamics of its…

Quantum Physics · Physics 2018-08-15 Michał Białończyk , Bogdan Damski

We study the nonadiabatic dynamics of a two-dimensional higher-order topological insulator when the system is slowly quenched across the boundary-obstructed phase transition, which is characterized by edge band gap closing. We find that the…

Statistical Mechanics · Physics 2024-07-29 Menghua Deng , Zhoujian Sun , Fuxiang Li

We study a one-dimensional lattice model with site-dependent nearest-neighbor hopping amplitudes that follow a power-law profile. The hopping variation is controlled by a grading exponent, $|alpha|$, which serves as the tuning parameter of…

Quantum Gases · Physics 2026-04-20 Argha Debnath , Ayan Sahoo , Debraj Rakshit

A quasi one--dimensional system of trapped, repulsively interacting atoms (e.g., an ion chain) exhibits a structural phase transition from a linear chain to a zigzag structure, tuned by reducing the transverse trap potential or increasing…

Statistical Mechanics · Physics 2011-04-11 Efrat Shimshoni , Giovanna Morigi , Shmuel Fishman

We investigate the multipartite entanglement for a slow quantum quench crossing a critical point. We consider the quantum Ising model and the Lipkin-Meshkov-Glick model, which are local and full-connected quantum systems, respectively. The…

Quantum Physics · Physics 2024-11-25 Hao-Yu Sun , Zi-Yong Ge , Heng Fan

In this work, we study the quench dynamics of quantum phases of ultracold neutral bosons trapped in optical lattices. We investigate the validity of the Kibble-Zurek (KZ) scaling laws with the single-site Gutzwiller mean-field (SGMF) and…

Quantum Gases · Physics 2023-09-13 Deepak Gaur , Hrushikesh Sable , D. Angom

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

In transverse-field Ising models, disorder in the couplings gives rise to a drastic reduction of the critical energy gap and, accordingly, to an unfavorable, slower-than-algebraic scaling of the density of defects produced when the system…

Statistical Mechanics · Physics 2023-12-15 R. Juhász , G. Roósz

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

Geometric frustration in two-dimensional Ising models allows for a wealth of exotic universal behavior, both Ising and non-Ising, in the presence of quantum fluctuations. In particular, the triangular antiferromagnet and Villain model in a…

Quantum Physics · Physics 2025-02-13 Ammar Ali , Hanjing Xu , William Bernoudy , Alberto Nocera , Andrew D. King , Arnab Banerjee

How environments affect dynamics of quantum systems remains a central question in understanding transitions between quantum and classical phenomena and optimizing quantum technologies. A paradigm model to address the above question is the…

Quantum Gases · Physics 2025-07-03 Wen Liang , Zhenhua Yu

We study the critical dynamics of a scalar field theory with $Z_2$ symmetry in the dynamic universality class of Model A in two and three spatial dimensions with classical-statistical lattice simulations. In particular, we measure the…

High Energy Physics - Phenomenology · Physics 2024-11-18 Leon J. Sieke , Mattis Harhoff , Sören Schlichting , Lorenz von Smekal

We study experimentally and theoretically structural defects which are formed during the transition from a laser cooled cloud to a Coulomb crystal, consisting of tens of ions in a linear radio frequency trap. We demonstrate the creation of…

Quantum Physics · Physics 2013-05-29 M. Mielenz , H. Landa , J. Brox , S. Kahra , G. Leschhorn , M. Albert , B. Reznik , T. Schaetz

We explore a variant of the $\phi^6$ model originally proposed in Phys.\ Rev.\ D {\bf 12}, 1606 (1975) as a prototypical, so-called, "bag" model in which domain walls play the role of quarks within hadrons. We examine the steady state of…

Pattern Formation and Solitons · Physics 2017-12-19 A. Demirkaya , R. Decker , P. G. Kevrekidis , I. C. Christov , A. Saxena