Nonequilibrium critical dynamics of the two-dimensional $\pm J$ Ising model

• URL: http://arxiv.org/abs/2304.11997v4
• Date: Wed, 25 Oct 2023 08:44:40 GMT
• Title: Nonequilibrium critical dynamics of the two-dimensional $\pm J$ Ising model
• Authors: Ramgopal Agrawal, Leticia F. Cugliandolo, Lara Faoro, Lev B. Ioffe, and Marco Picco
• Abstract summary: The $pm J$ Ising model is a simple frustrated spin model, where the exchange couplings independently take the discrete value $-J$ with probability $p$ and $+J$ with probability $1-p$. Here, we investigate the nonequilibrium critical behavior of the two-dimensional $pm J$ Ising model, after a quench from different initial conditions to a critical point $T_c(p)$ on the paramagnetic-ferromagnetic (PF) transition line.
• Score: 0.023787965910387825
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The $\pm J$ Ising model is a simple frustrated spin model, where the exchange couplings independently take the discrete value $-J$ with probability $p$ and $+J$ with probability $1-p$. It is especially appealing due to its connection to quantum error correcting codes. Here, we investigate the nonequilibrium critical behavior of the two-dimensional $\pm J$ Ising model, after a quench from different initial conditions to a critical point $T_c(p)$ on the paramagnetic-ferromagnetic (PF) transition line, especially, above, below and at the multicritical Nishimori point (NP). The dynamical critical exponent $z_c$ seems to exhibit non-universal behavior for quenches above and below the NP, which is identified as a pre-asymptotic feature due to the repulsive fixed point at the NP. Whereas, for a quench directly to the NP, the dynamics reaches the asymptotic regime with $z_c \simeq 6.02(6)$. We also consider the geometrical spin clusters (of like spin signs) during the critical dynamics. Each universality class on the PF line is uniquely characterized by the stochastic Loewner evolution (SLE) with corresponding parameter $\kappa$. Moreover, for the critical quenches from the paramagnetic phase, the model, irrespective of the frustration, exhibits an emergent critical percolation topology at the large length scales.

Related papers

• Critical Dynamics of Spin Boson Model [0.0]
  We study the low-energy properties of the spin-boson model (SBM) We study the critical dynamics of the system near the quantum phase transition.
  arXiv  Detail & Related papers  (2025-01-21T19:05:04Z)
• Criteria and Bias of Parameterized Linear Regression under Edge of Stability Regime [38.134523847923646]
  Edge of Stability (EoS) is usually known as the Edge of Stability (EoS) phenomenon. We show that EoS occurs even when $l$ is quadratic under proper conditions. We also shed some new light on the implicit bias of diagonal linear networks when a larger step-size is employed.
  arXiv  Detail & Related papers  (2024-12-11T02:07:37Z)
• Unveiling nonmagnetic phase and many-body entanglement in two-dimensional random quantum magnets Sr$_2$CuTe$_{1-x}$W$_x$O$_6$ [2.7204116565403744]
  We capture the physics of a series of spin stripe/2$ Heisenberg antiferromagnet compounds on a square lattice. An intermediate range of $x in [0.08, 0.55]$ is identified for a nonmagnetic phase without the long-range N'eel or stripe order. Deep inside this phase around $x = 0.3$, we observe signatures potentially linked to randomness-induced short-range spin-liquid-like states.
  arXiv  Detail & Related papers  (2024-07-08T13:22:51Z)
• 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)
• Tunable quantum criticality and pseudocriticality across the fixed-point annihilation in the anisotropic spin-boson model [0.26107298043931204]
  We study the nontrivial renormalization-group scenario of fixed-point annihilation in spin-boson models. We find a tunable transition between two localized phases that can be continuous or strongly first-order. We also find scaling behavior at the symmetry-enhanced first-order transition, for which the inverse correlation-length exponent is given by the bath exponent.
  arXiv  Detail & Related papers  (2024-03-04T19:00:07Z)
• Ancilla quantum measurements on interacting chains: Sensitivity of entanglement dynamics to the type and concentration of detectors [46.76612530830571]
  We consider a quantum many-body lattice system that is coupled to ancillary degrees of freedom (detectors'') We explore the dynamics of density and of entanglement entropy in the chain, for various values of $rho_a$ and $M$.
  arXiv  Detail & Related papers  (2023-11-21T21:41:11Z)
• Measurement-induced phase transition for free fermions above one dimension [46.176861415532095]
  Theory of the measurement-induced entanglement phase transition for free-fermion models in $d>1$ dimensions is developed. Critical point separates a gapless phase with $elld-1 ln ell$ scaling of the second cumulant of the particle number and of the entanglement entropy.
  arXiv  Detail & Related papers  (2023-09-21T18:11:04Z)
• Spin Current Density Functional Theory of the Quantum Spin-Hall Phase [59.50307752165016]
  We apply the spin current density functional theory to the quantum spin-Hall phase. We show that the explicit account of spin currents in the electron-electron potential of the SCDFT is key to the appearance of a Dirac cone.
  arXiv  Detail & Related papers  (2022-08-29T20:46:26Z)
• Universality class of Ising critical states with long-range losses [0.0]
  We show that spatial resolved dissipation can act on $d$-dimensional spin systems in the Ising universality class. We consider power-law decaying spin losses with a Lindbladian spectrum closing at small momenta as $propto qalpha$.
  arXiv  Detail & Related papers  (2021-08-27T17:59:51Z)
• The classical two-dimensional Heisenberg model revisited: An $SU(2)$-symmetric tensor network study [0.6299766708197883]
  We make use of state-the-art tensor network approaches to explore the correlation structure for Gibbs states. We find a rapidly diverging correlation length, whose behaviour is apparently compatible with two main contradictory hypotheses.
  arXiv  Detail & Related papers  (2021-06-11T11:05:00Z)
• 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.