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Main Authors: Delgado-Quesada, Jefferson, Rojas-González, Edgar A.
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2511.07273
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author Delgado-Quesada, Jefferson
Rojas-González, Edgar A.
author_facet Delgado-Quesada, Jefferson
Rojas-González, Edgar A.
contents 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 along the propagation. In this work, we show that a driven quantum walk of biphoton states in an array of nonlinear waveguides does not propagate ballistically, but instead presents two transport regimes: superballistic and superdiffusive. We also 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.
format Preprint
id arxiv_https___arxiv_org_abs_2511_07273
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Transport regimes of biphoton-state quantum walks in ordered and disordered arrays of nonlinear waveguides
Delgado-Quesada, Jefferson
Rojas-González, Edgar A.
Quantum Physics
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 along the propagation. In this work, we show that a driven quantum walk of biphoton states in an array of nonlinear waveguides does not propagate ballistically, but instead presents two transport regimes: superballistic and superdiffusive. We also 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.
title Transport regimes of biphoton-state quantum walks in ordered and disordered arrays of nonlinear waveguides
topic Quantum Physics
url https://arxiv.org/abs/2511.07273