Tootfinder

Kibble-Zurek dynamical scaling hypothesis in the Google analog-digital quantum simulator of the $XX$ model
Yintai Zhang, Francis A. Bayocboc Jr., Jacek Dziarmaga
https://arxiv.org/abs/2506.10771

Kibble-Zurek dynamical scaling hypothesis in the Google analog-digital quantum simulator of the $XX$ model
The state-of-the-art tensor networks are employed to simulate the Hamiltonian ramp in the analog-digital quantum simulation of the quantum phase transition to the quasi-long-range ordered phase of the 2D square-lattice $XX$ model [Nature 638, 79 (2025)]. We focus on the quantum Kibble-Zurek (KZ) mechanism near the quantum critical point. Using the infinite projected entangled pair state (iPEPS), we simulate an infinite lattice and demonstrate the KZ scaling hypothesis for the $XX$ correlations …

Topological Defect Formation Beyond the Kibble-Zurek Mechanism in Crossover Transitions with Approximate Symmetries
Peng Yang, Chuan-Yin Xia, Sebastian Grieninger, Hua-Bi Zeng, Matteo Baggioli
https://arxiv.org/abs/2508.05964

Topological Defect Formation Beyond the Kibble-Zurek Mechanism in Crossover Transitions with Approximate Symmetries
The formation of topological defects during continuous second-order phase transitions is well described by the Kibble-Zurek mechanism (KZM). However, when the spontaneously broken symmetry is only approximate, such transitions become smooth crossovers, and the applicability of KZM in these scenarios remains an open question. In this work, we address this problem by analyzing both a weakly coupled Ginzburg-Landau model and a strongly coupled holographic setup, each featuring pseudo-spontaneous b…

Spontaneous Quantum Turbulence in a Newborn Bose-Einstein Condensate via the Kibble-Zurek Mechanism
Seong-Ho Shinn, Matteo Massaro, Mithun Thudiyangal, Adolfo del Campo
https://arxiv.org/abs/2506.21670

Spontaneous Quantum Turbulence in a Newborn Bose-Einstein Condensate via the Kibble-Zurek Mechanism
The Kibble-Zurek mechanism (KZM) predicts the spontaneous formation of topological defects in a continuous phase transition driven at a finite rate. We propose the generation of spontaneous quantum turbulence (SQT) via the KZM during Bose-Einstein condensation induced by a thermal quench. Using numerical simulations of the stochastic projected Gross-Pitaevskii equation in two spatial dimensions, we describe the formation of a newborn Bose-Einstein condensate proliferated by quantum vortices. We…

Kibble-Zurek dynamics across the first-order quantum transitions of quantum Ising chains in the thermodynamic limit
Andrea Pelissetto, Davide Rossini, Ettore Vicari
https://arxiv.org/abs/2507.00178

Kibble-Zurek dynamics across the first-order quantum transitions of quantum Ising chains in the thermodynamic limit
We study the out-of-equilibrium Kibble-Zurek (KZ) dynamics in quantum Ising chains in a transverse field, driven by a time-dependent longitudinal field $h(t)=t/t_s$ ($t_s$ is the time scale of the protocol), across their first-order quantum transitions (FOQTs) at $h=0$. The KZ protocol starts at time $t_i<0$ from the negatively magnetized ground state for $h_i = t_i/t_s<0$. Then, the system evolves unitarily up to a time $t_f > 0$, such that the magnetization of the state at time $t_f$ is posit…

Locally Rotationally Symmetric Spacetimes in Einstein-Cartan Theory and Their Classification
Ujjwal Agarwal, Sante Carloni
https://arxiv.org/abs/2507.01840

Locally Rotationally Symmetric Spacetimes in Einstein-Cartan Theory and Their Classification
We present the complete set of covariant equations that govern the locally rotationally symmetric torsion spacetimes sourced by Weyssenhoff fluid in Einstein-Cartan-Sciama-Kibble gravity. Using these equations, we can explore in detail the peculiar relationship between conformal structure and torsion. We develop a comprehensive scheme to categorize these torsional spacetimes into distinct classes. We explicitly analyze the properties of each class and obtain novel analytical solutions to the gr…

Kibble-Zurek mechanism for dissipative discrete time crystals
Roy D. Jara Jr., Jayson G. Cosme
https://arxiv.org/abs/2507.18950 https://arxiv.org/pdf/2507.…

Kibble-Zurek mechanism for dissipative discrete time crystals
We demonstrate that the Kibble-Zurek mechanism (KZM) holds for open systems transitioning from a disordered phase to a discrete time crystal (DTC). Specifically, we observe the main signatures of the KZM when the system is quenched into a DTC, which are the characteristic power-law scaling with quench time of the number of spatial defects and the transition delay measured from the time at which the system crosses the critical point. We show analytically that this universal behavior can be trace…

Observation of Kibble-Zurek Behavior across Topological Transitions of a Chern Band in Ultracold Atoms
Huan Yuan, Chang-Rui Yi, Jia-Yu Guo, Xiang-Can Cheng, Rui-Heng Jiao, Jinyi Zhang, Shuai Chen, Jian-Wei Pan
https://arxiv.org/abs/2507.18349

Observation of Kibble-Zurek Behavior across Topological Transitions of a Chern Band in Ultracold Atoms
The Kibble-Zurek (KZ) mechanism renders a theoretical framework for elucidating the formation of topological defects across continuous phase transitions. Nevertheless, it is not immediately clear whether the KZ mechanism applies to topological phase transitions. The direct experimental study for such a topic is hindered by quenching a certain parameter over orders of magnitude in topological materials. Instead, we investigate the KZ behavior across topological transitions of a Chern band in two…

Replaced article(s) found for cond-mat.str-el. https://arxiv.org/list/cond-mat.str-el/new
[1/1]:
- Finite-time scaling beyond the Kibble-Zurek prerequisite in Dirac systems
Zhi Zeng, Yin-Kai Yu, Zhi-Xuan Li, Zi-Xiang Li, Shuai Yin

Zurek's scaling-law in the Ising model out of thermal equilibrium
Jos\'e Armando P\'erez-Loera, Wolfgang Bietenholz
https://arxiv.org/abs/2507.16168

Zurek's scaling-law in the Ising model out of thermal equilibrium
The Kibble mechanism plays a prominent role in the theory of the early Universe, as an explanation of the possible formation of cosmic strings. Zurek suggested the analogous effect in liquid helium under rapid cooling, and he conjectured - together with del Campo and Kibble - a scaling-law for the relation between the density of remnant topological defects and the cooling rate, when a system passes through its critical temperature. Such scaling-laws were indeed observed in condensed matter expe…

Out-of-equilibrium spinodal-like scaling behaviors across the magnetic first-order transitions of 2D and 3D Ising systems
Andrea Pelissetto, Ettore Vicari
https://arxiv.org/abs/2507.21286

Out-of-equilibrium spinodal-like scaling behaviors across the magnetic first-order transitions of 2D and 3D Ising systems
We study the out-of-equilibrium scaling behavior of two-dimensional and three-dimensional Ising systems, when they are slowly driven across their {\em magnetic} first-order transitions at low temperature $T