Many-body localization properties of fully frustrated Heisenberg
spin-1/2 ladder model with next-nearest-neighbor interaction
- URL: http://arxiv.org/abs/2402.11272v1
- Date: Sat, 17 Feb 2024 13:07:05 GMT
- Title: Many-body localization properties of fully frustrated Heisenberg
spin-1/2 ladder model with next-nearest-neighbor interaction
- Authors: Jiameng Hong and Taotao Hu
- Abstract summary: Many-body localization (MBL) is an intriguing physical phenomenon that arises from the interplay of interaction and disorder.
In this study, we investigate the MBL properties of the fully frustrated Heisenberg spin-1/2 ladder model.
We compare it with the Heisenberg spin-1/2 single-chain model with next-nearest-neighbor hopping interaction.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Many-body localization (MBL) is an intriguing physical phenomenon that arises
from the interplay of interaction and disorder, allowing quantum systems to
prevent thermalization. In this study, we investigate the MBL properties of the
fully frustrated Heisenberg spin-1/2 ladder model with next-nearest-neighbor
hopping interaction along the leg direction and compare it with the Heisenberg
spin-1/2 single-chain model with next-nearest-neighbor hopping interaction. We
explore the MBL transition using random matrix theory and study the
characteristics of entanglement entropy and its variance. Our results show that
for the single-chain model, the critical point $w _{1} \sim$ 7.5 $\pm$ 0.5,
whereas for the frustrated ladder model, $w _{2} \sim$ 10.5 $\pm$ 0.5.
Moreover, we observe the existence of a many-body mobility edge in the
frustrated ladder model. We also investigate the dynamical properties of the
frustrated ladder model and identify the logarithmic growth of entanglement
entropy, high fidelity of initial information, and magnetic localization
phenomenon in the localized phase. Finally, we explore the finite-size scaling
of the two models. Our findings suggest that interpreting MBL transition as a
continuous second-order phase transition yields a better scaling solution than
the Kosterlitz-Thouless type transition for our two models, and this difference
is more pronounced in the frustrated ladder model compared with the
single-chain model.
Related papers
- 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) - Modeling the space-time correlation of pulsed twin beams [68.8204255655161]
Entangled twin-beams generated by parametric down-conversion are among the favorite sources for imaging-oriented applications.
We propose a semi-analytic model which aims to bridge the gap between time-consuming numerical simulations and the unrealistic plane-wave pump theory.
arXiv Detail & Related papers (2023-01-18T11:29:49Z) - Universal features of entanglement entropy in the honeycomb Hubbard
model [44.99833362998488]
This paper introduces a new method to compute the R'enyi entanglement entropy in auxiliary-field quantum Monte Carlo simulations.
We demonstrate the efficiency of this method by extracting, for the first time, universal subleading logarithmic terms in a two dimensional model of interacting fermions.
arXiv Detail & Related papers (2022-11-08T15:52:16Z) - Coupled Fredkin and Motzkin chains from quantum six- and nineteen-vertex
models [4.965221313169878]
We generalize the area-law violating models of Fredkin and Motzkin spin chains into two dimensions.
The Hamiltonian is frustration free, and its projectors generate ergodic dynamics within the subspace of height configuration that are non negative.
arXiv Detail & Related papers (2022-10-06T16:46:05Z) - Quantum chaos and thermalization in the two-mode Dicke model [77.34726150561087]
We discuss the onset of quantum chaos and thermalization in the two-mode Dicke model.
The two-mode Dicke model exhibits normal to superradiant quantum phase transition.
We show that the temporal fluctuations of the expectation value of the collective spin observable around its average are small and decrease with the effective system size.
arXiv Detail & Related papers (2022-07-08T11:16:29Z) - Incommensurate many-body localization in the presence of long-range
hopping and single-particle mobility edge [5.779614095393776]
We study the role of next-nearest-neighbor hopping $t$ in many-body localization.
For strong interactions, the NNN hopping produces qualitatively new physics.
arXiv Detail & Related papers (2022-05-30T18:00:03Z) - SU(2)-Symmetric Spin-Boson Model: Quantum Criticality, Fixed-Point
Annihilation, and Duality [0.582519087605215]
We present high-accuracy quantum Monte Carlo results for the SU(2)-symmetric $S=1/2$ spin-boson (or Bose-Kondo) model.
Using a detailed scaling analysis, we provide direct numerical evidence for the collision and annihilation of two RG fixed points at $sast = 0.6540(2)$.
arXiv Detail & Related papers (2022-03-04T19:00:19Z) - Contrasting pseudo-criticality in the classical two-dimensional
Heisenberg and $\mathrm{RP}^2$ models: zero-temperature phase transition
versus finite-temperature crossover [0.0]
We compare the two-dimensional classical Heisenberg and $mathrmRP2$ models.
For the Heisenberg model, we find no signs of a finite-temperature phase transition.
For the $mathrmRP2$ model, we observe an abrupt onset of scaling behaviour.
arXiv Detail & Related papers (2022-02-15T17:35:15Z) - 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.