Localization and delocalization properties in quasi-periodically driven one-dimensional disordered system

• URL: http://arxiv.org/abs/2202.08582v1
• Date: Thu, 17 Feb 2022 10:59:31 GMT
• Title: Localization and delocalization properties in quasi-periodically driven one-dimensional disordered system
• Authors: Hiroaki S. Yamada and Kensuke S. Ikeda
• Abstract summary: localization and delocalization of quantum diffusion in time-continuous one-dimensional Anderson model perturbed by quasi-periodic harmonic oscillations of $M$ colors is investigated.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Localization and delocalization of quantum diffusion in time-continuous one-dimensional Anderson model perturbed by the quasi-periodic harmonic oscillations of $M$ colors is investigated systematically, which has been partly reported by the preliminary letter [PRE {\bf 103}, L040202(2021)]. We investigate in detail the localization-delocalization characteristics of the model with respect to three parameters: the disorder strength $W$, the perturbation strength $\epsilon$ and the number of the colors $M$ which plays the similar role of spatial dimension. In particular, attentions are focused on the presence of localization-delocalization transition (LDT) and its critical properties. For $M\geq 3$ the LDT exists and a normal diffusion is recovered above a critical strength $\epsilon$, and the characteristics of diffusion dynamics mimic the diffusion process predicted for the stochastically perturbed Anderson model even though $M$ is not large. These results are compared with the results of time-discrete quantum maps, i.e., Anderson map and the standard map. Further, the features of delocalized dynamics is discussed in comparison with a limit model which has no static disordered part.

Related papers

• Convergence of Score-Based Discrete Diffusion Models: A Discrete-Time Analysis [56.442307356162864]
  We study the theoretical aspects of score-based discrete diffusion models under the Continuous Time Markov Chain (CTMC) framework. We introduce a discrete-time sampling algorithm in the general state space $[S]d$ that utilizes score estimators at predefined time points. Our convergence analysis employs a Girsanov-based method and establishes key properties of the discrete score function.
  arXiv  Detail & Related papers  (2024-10-03T09:07:13Z)
• Dynamical Regimes of Diffusion Models [14.797301819675454]
  We study generative diffusion models in the regime where the dimension of space and the number of data are large. Our analysis reveals three distinct dynamical regimes during the backward generative diffusion process. The dependence of the collapse time on the dimension and number of data provides a thorough characterization of the curse of dimensionality for diffusion models.
  arXiv  Detail & Related papers  (2024-02-28T17:19:26Z)
• Anderson localization in dissipative lattices [0.0]
  Anderson localization predicts that wave spreading in disordered lattices can come to a complete halt. We consider the purely-dissipative Anderson model in the framework of a Lindblad master equation.
  arXiv  Detail & Related papers  (2023-04-16T07:23:07Z)
• Dynamic properties and the roton mode attenuation in the liquid 3He: an ab initio study within the self-consistent method of moments [0.0]
  The density-numbers structure factor and the eigenmodes of density fluctuations in the uniform liquid $3$He are studied using a novel non-perturbative approach. The ab initio path integral Monte Carlo (PIMC) simulations provide crucial information on the system static properties.
  arXiv  Detail & Related papers  (2023-01-24T16:16:08Z)
• Slow semiclassical dynamics of a two-dimensional Hubbard model in disorder-free potentials [77.34726150561087]
  We show that introduction of harmonic and spin-dependent linear potentials sufficiently validates fTWA for longer times. In particular, we focus on a finite two-dimensional system and show that at intermediate linear potential strength, the addition of a harmonic potential and spin dependence of the tilt, results in subdiffusive dynamics.
  arXiv  Detail & Related papers  (2022-10-03T16:51:25Z)
• From locality to irregularity: Introducing local quenches in massive scalar field theory [68.8204255655161]
  We consider the dynamics of excited local states in massive scalar field theory in an arbitrary spacetime dimension. We identify different regimes of their evolution depending on the values of the field mass and the quench regularization parameter. We also investigate the local quenches in massive scalar field theory on a cylinder and show that they cause an erratic and chaotic-like evolution of observables.
  arXiv  Detail & Related papers  (2022-05-24T18:00:07Z)
• Locality of Spontaneous Symmetry Breaking and Universal Spacing Distribution of Topological Defects Formed Across a Phase Transition [62.997667081978825]
  A continuous phase transition results in the formation of topological defects with a density predicted by the Kibble-Zurek mechanism (KZM) We characterize the spatial distribution of point-like topological defects in the resulting nonequilibrium state and model it using a Poisson point process in arbitrary spatial dimension with KZM density.
  arXiv  Detail & Related papers  (2022-02-23T19:00:06Z)
• Localization of a mobile impurity interacting with an Anderson insulator [0.0]
  We study a mobile impurity, representing a small quantum bath, that interacts locally with an Anderson insulator with a finite density of localized particles. Using an extension of the density matrix renormalization group algorithm to excited states (DMRG-X), we approximate the highly excited eigenstates of the system. We find that the impurity remains localized in the eigenstates and entanglement is enhanced in a finite region around the position of the impurity.
  arXiv  Detail & Related papers  (2021-11-16T16:39:28Z)
• Quantum correlations, entanglement spectrum and coherence of two-particle reduced density matrix in the Extended Hubbard Model [62.997667081978825]
  We study the ground state properties of the one-dimensional extended Hubbard model at half-filling. In particular, in the superconducting region, we obtain that the entanglement spectrum signals a transition between a dominant singlet (SS) to triplet (TS) pairing ordering in the system.
  arXiv  Detail & Related papers  (2021-10-29T21:02:24Z)
• Detecting delocalization-localization transitions from full density distributions [0.0]
  Characterizing the delocalization transition in closed quantum systems with a many-body localized phase is a key open question in the field of nonequilibrium physics. We study its scaling behavior across delocalozation transitions and identify critical points from scaling collapses of numerical data. We observe a distinctively different scaling behavior in the case of interacting fermions with random disorder consistent with a Kosterlitz-Thouless transition.
  arXiv  Detail & Related papers  (2021-05-21T21:39:27Z)
• Anisotropy-mediated reentrant localization [62.997667081978825]
  We consider a 2d dipolar system, $d=2$, with the generalized dipole-dipole interaction $sim r-a$, and the power $a$ controlled experimentally in trapped-ion or Rydberg-atom systems. We show that the spatially homogeneous tilt $beta$ of the dipoles giving rise to the anisotropic dipole exchange leads to the non-trivial reentrant localization beyond the locator expansion.
  arXiv  Detail & Related papers  (2020-01-31T19:00:01Z)

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.