Rogue waves in discrete-time quantum walks

• URL: http://arxiv.org/abs/2204.00060v1
• Date: Thu, 31 Mar 2022 19:55:53 GMT
• Title: Rogue waves in discrete-time quantum walks
• Authors: A. R. C. Buarque, W. S. Dias, F. A. B. F. de Moura, M. L. Lyra, G. M. A. Almeida
• Abstract summary: Rogue waves are rapid and unpredictable events of exceptional amplitude reported in various fields, such as oceanography and optics. Here, we use the all-round framework of discrete-time quantum walks to study the onset of those events due to a random phase modulation. We find that those rogue waves belong to the Gumbel family of extreme value distributions.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Rogue waves are rapid and unpredictable events of exceptional amplitude reported in various fields, such as oceanography and optics, with much of the interest being targeted towards their physical origins and likelihood of occurrence. Here, we use the all-round framework of discrete-time quantum walks to study the onset of those events due to a random phase modulation, unveiling its long-tailed statistics, distribution profile, and dependence upon the degree of randomness. We find that those rogue waves belong the Gumbel family of extreme value distributions.

Related papers

• Radiative transport in a periodic structure with band crossings [52.24960876753079]
  We derive the semi-classical model for the Schr"odinger equation in arbitrary spatial dimensions. We consider both deterministic and random scenarios. As a specific application, we deduce the effective dynamics of a wave packet in graphene with randomness.
  arXiv  Detail & Related papers  (2024-02-09T23:34:32Z)
• Fluctuations and Persistence in Quantum Diffusion on Regular Lattices [7.218054628599005]
  We investigate quantum persistence by analyzing amplitude and phase fluctuations of the wave function governed by the time-dependent free-particle Schr"odinger equation. In analogy with classical diffusion, the persistence probability is defined as the probability that the local (amplitude or phase) fluctuations have not changed sign up to time $t$.
  arXiv  Detail & Related papers  (2024-02-08T19:46:56Z)
• Managing rogue quantum amplitudes: a control perspective in quantum walks [0.0]
  We investigate the emergence of rogue quantum amplitudes in discrete-time quantum walks (DTQWs) influenced by phase disorder. Our study reveals the statistics of occupation probability amplitudes in space and time, uncovering optimal disorder regimes that favor rogue wave events.
  arXiv  Detail & Related papers  (2023-09-18T09:24:01Z)
• Phase Randomness in a Semiconductor Laser: the Issue of Quantum Random Number Generation [83.48996461770017]
  This paper describes theoretical and experimental methods for estimating the degree of phase randomization in a gain-switched laser. We show that the interference signal remains quantum in nature even in the presence of classical phase drift in the interferometer.
  arXiv  Detail & Related papers  (2022-09-20T14:07:39Z)
• Dynamics of a quantum wave emitted by a decaying and evanescent point source [0.0]
  We put forward a model that describes a decaying and evanescent point source of non-interacting quantum waves in 1D. We show that there exists an optimal injection frequency and detection point for the observation of these two quantum phenomena.
  arXiv  Detail & Related papers  (2022-08-30T11:44:18Z)
• Rogue waves in quantum lattices with correlated disorder [0.0]
  We investigate the outbreak of anomalous quantum wavefunction amplitudes in a one-dimensional tight-binding lattice featuring correlated diagonal disorder. The effective correlation length of the disorder is ultimately responsible for bringing the local disorder strength to a minimum.
  arXiv  Detail & Related papers  (2022-07-31T23:07:37Z)
• Noise correlations behind superdiffusive quantum walks [0.0]
  We study how discrete-time quantum walks behave under short-range correlated noise. For spatial inhomogeneities, we show noise correlations driving quantum walks from the well-known exponentially localized condition to superdiffusive spreading.
  arXiv  Detail & Related papers  (2022-07-26T18:54:28Z)
• High-Order Qubit Dephasing at Sweet Spots by Non-Gaussian Fluctuators: Symmetry Breaking and Floquet Protection [55.41644538483948]
  We study the qubit dephasing caused by the non-Gaussian fluctuators. We predict a symmetry-breaking effect that is unique to the non-Gaussian noise.
  arXiv  Detail & Related papers  (2022-06-06T18:02:38Z)
• Out-of-time-order correlator in the quantum Rabi model [62.997667081978825]
  We show that out-of-time-order correlator derived from the Loschmidt echo signal quickly saturates in the normal phase. We show that the effective time-averaged dimension of the quantum Rabi system can be large compared to the spin system size.
  arXiv  Detail & Related papers  (2022-01-17T10:56:57Z)
• High-frequency expansions for time-periodic Lindblad generators [68.8204255655161]
  Floquet engineering of isolated systems is often based on the concept of the effective time-independent Floquet Hamiltonian. We show that the emerging non-Markovianity of the Floquet generator can entirely be attributed to the micromotion of the open driven system.
  arXiv  Detail & Related papers  (2021-07-21T12:48:39Z)
• Zitterbewegung and Klein-tunneling phenomena for transient quantum waves [77.34726150561087]
  We show that the Zitterbewegung effect manifests itself as a series of quantum beats of the particle density in the long-time limit. We also find a time-domain where the particle density of the point source is governed by the propagation of a main wavefront. The relative positions of these wavefronts are used to investigate the time-delay of quantum waves in the Klein-tunneling regime.
  arXiv  Detail & Related papers  (2020-03-09T21:27:02Z)

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.