Multiband dispersion and warped vortices of strongly-interacting photons

Fuente: arXiv
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Main Authors: Das, Bankim Chandra, Kiselov, Dmytro, Drori, Lee, Nakav, Ariel, Poddubny, Alexander, Firstenberg, Ofer
Format: Preprint
Published: 2025
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author Das, Bankim Chandra
Kiselov, Dmytro
Drori, Lee
Nakav, Ariel
Poddubny, Alexander
Firstenberg, Ofer
author_facet Das, Bankim Chandra
Kiselov, Dmytro
Drori, Lee
Nakav, Ariel
Poddubny, Alexander
Firstenberg, Ofer
contents We present a theoretical study of quantum correlations between interacting photons realized through co-propagating Rydberg polaritons. We show that the spatial evolution of the $n$-photon wavefunction is governed by a multiband dispersion featuring one massive mode and multiple massless modes with degenerate Dirac points and $n$-fold rotational symmetry. The resulting band structure is warped, departing from the single-band, parabolic approximation commonly assumed for interacting polaritons. Our analytical results are supported by rigorous numerical modeling that fully accounts for photon propagation inside the finite atomic medium. These findings advance the understanding of multi-photon interactions and support the development of future multi-photon control tools.
format Preprint
id arxiv_https___arxiv_org_abs_2502_11553
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Multiband dispersion and warped vortices of strongly-interacting photons
Das, Bankim Chandra
Kiselov, Dmytro
Drori, Lee
Nakav, Ariel
Poddubny, Alexander
Firstenberg, Ofer
Quantum Physics
Atomic Physics
We present a theoretical study of quantum correlations between interacting photons realized through co-propagating Rydberg polaritons. We show that the spatial evolution of the $n$-photon wavefunction is governed by a multiband dispersion featuring one massive mode and multiple massless modes with degenerate Dirac points and $n$-fold rotational symmetry. The resulting band structure is warped, departing from the single-band, parabolic approximation commonly assumed for interacting polaritons. Our analytical results are supported by rigorous numerical modeling that fully accounts for photon propagation inside the finite atomic medium. These findings advance the understanding of multi-photon interactions and support the development of future multi-photon control tools.
title Multiband dispersion and warped vortices of strongly-interacting photons
topic Quantum Physics
Atomic Physics
url https://arxiv.org/abs/2502.11553