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We study the dynamics of systems quenched through topological quantum phase transitions and investigate the behavior of the bulk and edge excitations with various quench rates. Specifically, we consider the Haldane model and checkerboard…

强关联电子 · 物理学 2018-07-04 Shiuan-Fan Liou , Kun Yang

We investigate slow quenches in Chern insulators in ribbon geometry. We consider the Qi-Wu-Zhang model and slowly ramp the parameters (large time of the quench $\tau$) from a non-topological (Chern number = 0) to a topological regime (Chern…

强关联电子 · 物理学 2019-09-05 Lara Ulčakar , Jernej Mravlje , Tomaž Rejec

We explore the non-equilibrium response of Chern insulators. Focusing on the Haldane model, we study the dynamics induced by quantum quenches between topological and non-topological phases. A notable feature is that the Chern number,…

强关联电子 · 物理学 2015-12-09 M. D. Caio , N. R. Cooper , M. J. Bhaseen

The Kibble-Zurek mechanism (KZM) predicts that when a system is driven through a continuous phase transition, the density of topological defects scales universally with the quench rate. Recent theoretical work [H.-B. Zeng \textit{et al.},…

量子物理 · 物理学 2025-06-10 Xinxin Rao , Yang Liu , Mingshen Li , Teng Liu , Huabi Zeng , Le Luo

Kibble-Zurek mechanism (KZM) uses critical scaling to predict density of topological defects and other excitations created in second order phase transitions. We point out that simply inserting asymptotic critical exponents deduced from the…

量子气体 · 物理学 2014-09-01 Jacek Dziarmaga , Wojciech H. Zurek

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…

统计力学 · 物理学 2024-07-29 Menghua Deng , Zhoujian Sun , Fuxiang Li

We investigate the transport properties of Chern insulators following a quantum quench between topological and non-topological phases. Recent works have shown that this yields an excited state for which the Chern number is preserved under…

强关联电子 · 物理学 2016-12-06 M. D. Caio , N. R. Cooper , M. J. Bhaseen

We numerically study the density of topological defects for a two-dimensional assembly of particles driven over quenched disorder as a function of quench rate through the nonequilibrium phase transition from a plastic disordered flowing…

统计力学 · 物理学 2024-04-23 C. J. O. Reichhardt , A. del Campo , C. Reichhardt

We perform a sudden quench on the Haldane model with long range interactions, more specifically generalising to the next to next nearest neighbour hopping, referred to as the $N3$ model in our work. Such a model possesses both isotropic and…

统计力学 · 物理学 2017-04-19 Utso Bhattacharya , Joanna Hutchinson , Amit Dutta

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…

According to the Kibble-Zurek mechanism, there is a universal power-law relationship between the defect density and the quench rate during a slow linear quench through a critical point. It is generally accepted that a fast quench results in…

量子物理 · 物理学 2024-07-22 Han-Chuan Kou , Peng Li

Recent experiments with ultracold quantum gases have successfully realized integer-quantized topological charge pumping in optical lattices. Motivated by this progress, we study the effects of static disorder on topological Thouless charge…

量子气体 · 物理学 2021-05-03 A. L. C. Hayward , E. Bertok , U. Schneider , F. Heidrich-Meisner

Quantum quenches in continuum field theory across critical points are known to display different scaling behaviours in different regimes of the quench rate. We extend these results to integrable lattice models such as the transverse field…

高能物理 - 理论 · 物理学 2018-01-17 Diptarka Das , Sumit R. Das , Damián A. Galante , Robert C. Myers , Krishnendu Sengupta

In equilibrium, confined films of superfluid $^3$He-A have the chiral axis, $\hat{\ell}$, locked normal to the surface of the film. There are two degenerate ground states $\hat{\ell}\;||\pm\hat{z}$. However, for a temperature quench, i.e.…

超导电性 · 物理学 2025-07-22 Noble Gluscevich , J. A. Sauls

We consider the finite-time quench dynamics in the quantum transverse field Ising model which exhibits a second order phase transition from a paramagnetic to a ferromagnetic phase, as the transverse magnetic field is decreased. These…

统计力学 · 物理学 2025-04-08 Lakshita Jindal , Kavita Jain

We present a formulation for investigating quench dynamics across quantum phase transitions in the presence of decoherence. We formulate decoherent dynamics induced by continuous quantum non-demolition measurements of the instantaneous…

量子物理 · 物理学 2021-03-16 Wei-Ting Kuo , Daniel Arovas , Smitha Vishveshwara , Yi-Zhuang You

In a finite time quantum quench of the Haldane model, the Chern number determining the topology of the bulk remains invariant, as long as the dynamics is unitary. Nonetheless, the corresponding boundary attribute, the edge current, displays…

介观与纳米尺度物理 · 物理学 2018-04-04 Sougata Mardanya , Utso Bhattacharya , Amit Agarwal , Amit Dutta

We investigate finite size effects in quantum quenches on the basis of simple energetic arguments. Distinguishing between the low-energy part of the excitation spectrum, below a microscopic energy-scale, and the high-energy regime enables…

量子气体 · 物理学 2010-05-21 Guillaume Roux

Taking the quantum Kitaev chain as an example, we have studied the universal dynamical behaviors resulting from quantum criticality under the condition of environmental temperature quench. Our findings reveal that when the quantum parameter…

量子物理 · 物理学 2026-01-21 Chengxiang Ding , Long Zhang

When a quantum system exhibiting a second order phase transition is quenched across the critical point in large but finite time, the dynamics are not adiabatic in the critical region and the Kibble-Zurek (KZ) mechanism provides a framework…

统计力学 · 物理学 2026-05-07 Lakshita Jindal , Kavita Jain
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