Driven Critical Dynamics in Tricitical Point

• URL: http://arxiv.org/abs/2505.12595v1
• Date: Mon, 19 May 2025 01:17:24 GMT
• Title: Driven Critical Dynamics in Tricitical Point
• Authors: Ting-Long Wang, Yi-Fan Jiang, Shuai Yin,
• Abstract summary: We study the driven critical dynamics at a one-dimensional supersymmetric Ising tricritical point.<n>For the relevant direction along the Ising critical line, the AIS apparently breaks down.<n>Our work brings new fundamental perspective into the nonequilibrium critical dynamics near the tricritical point.
• Score: 4.477223135238901
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: 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 independent relevant directions has not been adequately studied. Here, we employ time dependent variational principle to study the driven critical dynamics at a one-dimensional supersymmetric Ising tricritical point. For the relevant direction along the Ising critical line, the AIS apparently breaks down. Nevertheless, we find that the critical dynamics can still be described by the KZ scaling in which the driving rate has the dimension of $r=z+1/\nu_\mu$ with $z$ and $\nu_\mu$ being the dynamic exponent and correlation length exponent in this direction, respectively. For driven dynamics along other direction, the driving rate has the dimension $r=z+1/\nu_p$ with $\nu_p$ being the other correlation length exponent. Our work brings new fundamental perspective into the nonequilibrium critical dynamics near the tricritical point, which could be realized in programmable quantum processors in Rydberg atomic systems.

Related papers

• Continuous-Time SO(3) Forecasting with Savitzky--Golay Neural Controlled Differential Equations [51.510040541600176]
  This work proposes modeling continuous-time rotational object dynamics on $SO(3)$.<n>Unlike existing methods that rely on simplified motion assumptions, our method learns a general latent dynamical system of the underlying object trajectory.<n> Experimental results on real-world data demonstrate compelling forecasting capabilities compared to existing approaches.
  arXiv  Detail & Related papers  (2025-06-07T12:41:50Z)
• Critical dynamics and its interferometry in the one-dimensional p-wave-paired Aubry-André-Harper model [8.712146581103953]
  We focus on the critical dynamics of the one-dimensional quasiperiodic p-wave-paired Aubry-Andr'e-Harper model.<n>Two plateaus intrinsically affect the critical dynamics with moderate quench rate by employing both one-way and round-trip quench protocols.<n>We show how the position of the neck can be used to quantitatively determine the turning point of the two KZ sub-regimes.
  arXiv  Detail & Related papers  (2025-03-05T13:07:56Z)
• Critical Dynamics in Short-Range Quadratic Hamiltonians [0.0]
  We consider critical dynamics that emerges when the Thouless time, i.e., the saturation time of the mean-squared displacement, approaches the typical Heisenberg time.<n>We establish a relation, $z=d_l/d_s$, linking the critical dynamical exponent $z$ to $d_l$ and to the spectral fractal dimension $d_s$.
  arXiv  Detail & Related papers  (2025-03-04T17:51:40Z)
• KPZ scaling from the Krylov space [83.88591755871734]
  Recently, a superdiffusion exhibiting the Kardar-Parisi-Zhang scaling in late-time correlators and autocorrelators has been reported. Inspired by these results, we explore the KPZ scaling in correlation functions using their realization in the Krylov operator basis.
  arXiv  Detail & Related papers  (2024-06-04T20:57:59Z)
• Family-Vicsek dynamical scaling and Kardar-Parisi-Zhang-like superdiffusive growth of surface roughness in a driven one-dimensional quasiperiodic model [0.0]
  We investigate the out-of-equilibrium dynamics of spinless fermions in a one-dimensional quasiperiodic model with and without a periodic driving. In absence of periodic driving, the model is interestingly shown to host a subdiffusive critical phase. We construct an effective Floquet Hamiltonian, which qualitatively captures this feature occurring in the driven model.
  arXiv  Detail & Related papers  (2023-07-07T19:30:05Z)
• Dynamics of magnetization at infinite temperature in a Heisenberg spin chain [105.07522062418397]
  In a chain of 46 superconducting qubits, we study the probability distribution, $P(mathcalM)$, of the magnetization transferred across the chain's center. The first two moments of $P(mathcalM)$ show superdiffusive behavior, a hallmark of KPZ. The third and fourth moments rule out the KPZ conjecture and allow for evaluating other theories.
  arXiv  Detail & Related papers  (2023-06-15T17:58:48Z)
• Universality of critical dynamics with finite entanglement [68.8204255655161]
  We study how low-energy dynamics of quantum systems near criticality are modified by finite entanglement. Our result establishes the precise role played by entanglement in time-dependent critical phenomena.
  arXiv  Detail & Related papers  (2023-01-23T19:23:54Z)
• Probing dynamics of a two-dimensional dipolar spin ensemble using single qubit sensor [62.997667081978825]
  We experimentally investigate individual spin dynamics in a two-dimensional ensemble of electron spins on the surface of a diamond crystal. We show that this anomalously slow relaxation rate is due to the presence of strong dynamical disorder. Our work paves the way towards microscopic study and control of quantum thermalization in strongly interacting disordered spin ensembles.
  arXiv  Detail & Related papers  (2022-07-21T18:00:17Z)
• Dual dynamic scaling in deconfined quantum criticality [0.0]
  We study the nonequilibrium imaginary-time relaxation dynamics in the $J$-$Q_3$ model. We verify the universality of the dual dynamic scaling at the critical point, but also investigate the breakdown and the vestige of the dual dynamic scaling when the tuning parameter is away from the critical point.
  arXiv  Detail & Related papers  (2022-01-21T07:20:31Z)
• Dynamics of a quantum phase transition in the Aubry-Andr\'{e}-Harper model with $p$-wave superconductivity [0.0]
  We investigate the nonequilibrium dynamics of the one-dimension Aubry-Andr'e-Harper model with $p$-wave superconductivity. We study the slow quench dynamics from localized phase to critical phase by linearly decreasing the potential strength $V$. We also study the sudden quench dynamics between three different phases: localized phase, critical phase, and extended phase.
  arXiv  Detail & Related papers  (2020-12-13T08:25:15Z)
• Continuous-time quantum walks in the presence of a quadratic perturbation [55.41644538483948]
  We address the properties of continuous-time quantum walks with Hamiltonians of the form $mathcalH= L + lambda L2$. We consider cycle, complete, and star graphs because paradigmatic models with low/high connectivity and/or symmetry.
  arXiv  Detail & Related papers  (2020-05-13T14:53:36Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.