Transport regimes of biphoton-state quantum walks in ordered and disordered arrays of nonlinear waveguides

• URL: http://arxiv.org/abs/2511.07273v1
• Date: Mon, 10 Nov 2025 16:21:39 GMT
• Title: Transport regimes of biphoton-state quantum walks in ordered and disordered arrays of nonlinear waveguides
• Authors: Jefferson Delgado-Quesada, Edgar A. Rojas-González,
• Abstract summary: We show that a driven quantum walk in an array of nonlinear waveguides does not propagate ballistically, but instead exhibits two distinct transport regimes.<n>In addition to the observation of Anderson localization, both types of disorder lead to the disappearance of the superballistic regime.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: It is well known that a quantum walk in an ordered medium exhibits ballistic propagation. A related process is the driven quantum walk, in which the number of walkers varies over time. In this work, we show that a driven quantum walk in an array of nonlinear waveguides does not propagate ballistically, but instead exhibits two distinct transport regimes: superballistic and superdiffusive. Moreover, we study the effects of off-diagonal and diagonal disorder. In addition to the observation of Anderson localization, both types of disorder lead to the disappearance of the superballistic regime.

Related papers

• Evidence for a two-dimensional quantum glass state at high temperatures [108.88989889650607]
  Disorder in quantum many-body systems can drive transitions between ergodic and non-ergodic phases.<n>We study an interacting spin model at finite temperature in a disordered landscape.<n>Our results show that there is a transition out of the ergodic phase in two-dimensional systems.
  arXiv  Detail & Related papers  (2026-01-04T00:09:50Z)
• Braiding Majoranas in a linear quantum dot-superconductor array: Mitigating the errors from Coulomb repulsion and residual tunneling [7.493142873994949]
  We propose a minimal braiding setup in a linear array of quantum dots consisting of two minimal Kitaev chains coupled through an ancillary, normal quantum dot.<n>We find that the errors caused by either of these effects can be efficiently mitigated by optimal control of the ancillary quantum dot that mediates the exchange of the non-Abelian anyons.
  arXiv  Detail & Related papers  (2025-01-27T13:53:14Z)
• Observation of disorder-free localization using a (2+1)D lattice gauge theory on a quantum processor [118.01172048932149]
  Disorder-induced phenomena in quantum many-body systems pose significant challenges for analytical methods and numerical simulations.<n>We investigate quantum circuits in tunable states to superpositions over all disorder configurations.
  arXiv  Detail & Related papers  (2024-10-09T05:28:14Z)
• Nonlinear dynamical Casimir effect and Unruh entanglement in waveguide QED with parametrically modulated coupling [83.88591755871734]
  We study theoretically an array of two-level qubits moving relative to a one-dimensional waveguide. When the frequency of this motion approaches twice the qubit resonance frequency, it induces parametric generation of photons and excitation of the qubits. We develop a comprehensive general theoretical framework that incorporates both perturbative diagrammatic techniques and a rigorous master-equation approach.
  arXiv  Detail & Related papers  (2024-08-30T15:54:33Z)
• Crossing exceptional points in non-Hermitian quantum systems [41.94295877935867]
  We reveal the behavior of two-photon quantum states in non-Hermitian systems across the exceptional point. We demonstrate a switching in the quantum interference of photons directly at the exceptional point.
  arXiv  Detail & Related papers  (2024-07-17T14:04:00Z)
• Stronger resilience to disorder in 2D quantum walks than in 1D [0.0]
  We study the response of spreading behavior, of two-dimensional discrete-time quantum walks, to glassy disorder in the jump length. We find that the ballistic spreading of the clean walk is inhibited in presence of disorder, and the walk becomes sub-ballistic but remains super-diffusive.
  arXiv  Detail & Related papers  (2023-12-26T14:53:35Z)
• Bound state of distant photons in waveguide quantum electrodynamics [137.6408511310322]
  Quantum correlations between distant particles remain enigmatic since the birth of quantum mechanics. We predict a novel kind of bound quantum state in the simplest one-dimensional setup of two interacting particles in a box. Such states could be realized in the waveguide quantum electrodynamics platform.
  arXiv  Detail & Related papers  (2023-03-17T09:27:02Z)
• Quantum walks in two dimensions: controlling directional spreading with entangling coins and tunable disordered step operator [0.0]
  We show that considering a given disorder in one direction, it is possible to control the degree of spreading and entanglement in the other direction. This observation helps assert that the random quantum walks of this ilk serve as a controllable decoherence channel.
  arXiv  Detail & Related papers  (2022-09-13T18:13:22Z)
• Driven anti-Bragg subradiant states in waveguide quantum electrodynamics [91.3755431537592]
  We study theoretically driven quantum dynamics in periodic arrays of two-level qubits coupled to the waveguide. We demonstrate, that strongly subradiant eigenstates of the master equation for the density matrix emerge under strong coherent driving for arrays with the anti-Bragg periods.
  arXiv  Detail & Related papers  (2022-02-21T11:36:55Z)
• Quantum chaos driven by long-range waveguide-mediated interactions [125.99533416395765]
  We study theoretically quantum states of a pair of photons interacting with a finite periodic array of two-level atoms in a waveguide. Our calculation reveals two-polariton eigenstates that have a highly irregular wave-function in real space.
  arXiv  Detail & Related papers  (2020-11-24T07:06:36Z)
• Unraveling the topology of dissipative quantum systems [58.720142291102135]
  We discuss topology in dissipative quantum systems from the perspective of quantum trajectories. We show for a broad family of translation-invariant collapse models that the set of dark state-inducing Hamiltonians imposes a nontrivial topological structure on the space of Hamiltonians.
  arXiv  Detail & Related papers  (2020-07-12T11:26:02Z)
• Entanglement Transition in the Projective Transverse Field Ising Model [0.0]
  We study the projective transverse field Ising model, a model with two noncommuting projective measurements and no unitary dynamics. We numerically demonstrate that their competition drives an entanglement transition between two distinct steady states. We conclude with an interpretation of the entanglement transition in the context of quantum error correction.
  arXiv  Detail & Related papers  (2020-06-17T09:40:21Z)

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.