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Recently universal dynamic scaling is observed in several systems, which exhibit a spatiotemporal self-similar scaling behavior, analogous to the spatial scaling near phase transitions. The latter arises from the emergent continuous scaling…

Quantum Gases · Physics 2023-08-28 Jia-nan Cui , Zhengqiang Zhou , Mingyuan Sun

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

Near a critical point, the equilibrium relaxation time of a system diverges and any change of control/thermodynamic parameters leads to non-equilibrium behavior. The Kibble-Zurek problem is to determine the dynamical evolution of the system…

Statistical Mechanics · Physics 2012-09-20 Anushya Chandran , Amir Erez , Steven S. Gubser , S. L. Sondhi

Quantum phase transitions are characterised by the universal scaling laws in the critical region surrounding the transitions. This universality is also manifested in the critical real-time dynamics through the quantum Kibble-Zurek…

Quantum Physics · Physics 2026-04-21 Jose Soto Garcia , Natalia Chepiga

When a quantum phase transition is crossed in finite time, critical slowing down leads to the breakdown of adiabatic dynamics and the formation of topological defects. The average density of defects scales with the quench rate following a…

Quantum Physics · Physics 2018-11-26 Adolfo del Campo

The number of topological defects created in a system driven through a quantum phase transition exhibits a power-law scaling with the driving time. This universal scaling law is the key prediction of the Kibble-Zurek mechanism (KZM), and…

In this paper, we systematically study the work statistics for quantum phase transition. For a quantum system approached by an anisotropic conformal field theory near the critical point, the driving protocols is divided into three different…

Statistical Mechanics · Physics 2021-05-05 Zhaoyu Fei , C. P. Sun

Kibble-Zurek mechanism (KZM) is a universal framework which could in principle describe phase transition phenomenon in any system with required symmetry properties. However, a conflicting observation termed anti-KZ behavior has been…

Slow variations (quenches) of the magnetic field across the paramagnetic-ferromagnetic phase transition of spin systems produce heat. In systems with short-range interactions the heat exhibits universal power-law scaling as a function of…

Quantum Gases · Physics 2018-12-19 Nicolo Defenu , Tilman Enss , Michael Kastner , Giovanna Morigi

Quantum phase transitions (QPTs) involve transformations between different states of matter that are driven by quantum fluctuations. These fluctuations play a dominant role in the quantum critical region surrounding the transition point,…

Quantum simulation has emerged as a valuable arena for demonstrating and understanding the capabilities of near-term quantum computers. Quantum annealing has been used successfully in simulating a range of open quantum systems, both at…

In this paper, we study the dynamics of the Bose-Hubbard model by using time-dependent Gutzwiller methods. In particular, we vary the parameters in the Hamiltonian as a function of time, and investigate the temporal behavior of the system…

Quantum Gases · Physics 2018-04-04 Keita Shimizu , Yoshihito Kuno , Takahiro Hirano , Ikuo Ichinose

The Kibble-Zurek (KZ) mechanism has been applied to a variety of systems ranging from low temperature Bose-Einstein condensations to grand unification scales in particle physics and cosmology and from classical phase transitions to quantum…

Statistical Mechanics · Physics 2017-02-15 Yingyi Huang , Shuai Yin , Baoquan Feng , Fan Zhong

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…

Statistical Mechanics · Physics 2025-10-10 Andrea Pelissetto , Davide Rossini , 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

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…

Out-of-equilibrium phenomena is a subject of considerable interest in many fields of physics. Ultracold quantum gases, which are extremely clean, well-isolated and highly controllable systems, offer ideal platforms to investigate this…

Quantum Gases · Physics 2017-02-01 J. Beugnon , N. Navon

We study how universal properties of quantum quenches across critical points are modified by a weak coupling to thermal dissipation, focusing on the paradigmatic case of the transverse field Ising model. Beyond the standard quench-induced…

Quantum Gases · Physics 2015-08-05 P. Nalbach , Smitha Vishveshwara , Aashish A. Clerk

Symmetry-breaking quantum phase transitions lead to the production of topological defects or domain walls in a wide range of physical systems. In second-order transitions, these exhibit universal scaling laws described by the Kibble-Zurek…

Quantum Gases · Physics 2025-04-15 Matthew T. Wheeler , Hayder Salman , Magnus O. Borgh

The Kibble-Zurek mechanism describes defect production due to non-adiabatic passage through a critical point. Here we study its variant from ramping the environment temperature to a critical point. We find that the defect density scales as…

Strongly Correlated Electrons · Physics 2023-07-07 Á. Bácsi , B. Dóra