Emergence of solitons from many-body photon bound states in quantum nonlinear media

Solitons are known to occur in the context of atom-light interaction via the well-known semiclassical phenomenon of self-induced transparency (SIT). Separately, in the regime where both light and atoms are fully treated quantum mechanically, quantum few-photon bound states are known to be a ubiquito...

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Main Authors: G. Calajó, D. E. Chang
Format: Article
Language:English
Published: American Physical Society 2022-04-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.4.023026
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author G. Calajó
D. E. Chang
author_facet G. Calajó
D. E. Chang
author_sort G. Calajó
collection DOAJ
description Solitons are known to occur in the context of atom-light interaction via the well-known semiclassical phenomenon of self-induced transparency (SIT). Separately, in the regime where both light and atoms are fully treated quantum mechanically, quantum few-photon bound states are known to be a ubiquitous phenomenon that arises in different systems such as atoms coupled to chiral or bidirectional waveguides, and in Rydberg atomic media. In the specific case of two-level atoms coupled to a chiral waveguide, a recent analysis based on Bethe ansatz has established that SIT emerges from the quantum realm as a superposition of quantum many-photon bound states. Beyond this case, however, the nature of any connection between the full quantum many-body regime and semiclassical behavior has not been established. Here, we employ a general spin-model formulation of quantum atom-light interfaces to numerically investigate this problem, taking advantage of the fact that this approach readily allows for powerful many-body simulations based on matrix product states (MPS). We first analytically derive the two-photon bound state dispersion relation for a variety of atom-light interfaces and then proceed to numerically investigate the multiexcitation bound states dynamics. Interestingly, for all the specific systems studied, we find that the large-photon number limit always coincides with the soliton phenomenon of self-induced transparency or immediate generalizations thereof.
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spelling doaj.art-f26bbf831d8440f6ba89e890666ee9202024-04-12T17:19:45ZengAmerican Physical SocietyPhysical Review Research2643-15642022-04-014202302610.1103/PhysRevResearch.4.023026Emergence of solitons from many-body photon bound states in quantum nonlinear mediaG. CalajóD. E. ChangSolitons are known to occur in the context of atom-light interaction via the well-known semiclassical phenomenon of self-induced transparency (SIT). Separately, in the regime where both light and atoms are fully treated quantum mechanically, quantum few-photon bound states are known to be a ubiquitous phenomenon that arises in different systems such as atoms coupled to chiral or bidirectional waveguides, and in Rydberg atomic media. In the specific case of two-level atoms coupled to a chiral waveguide, a recent analysis based on Bethe ansatz has established that SIT emerges from the quantum realm as a superposition of quantum many-photon bound states. Beyond this case, however, the nature of any connection between the full quantum many-body regime and semiclassical behavior has not been established. Here, we employ a general spin-model formulation of quantum atom-light interfaces to numerically investigate this problem, taking advantage of the fact that this approach readily allows for powerful many-body simulations based on matrix product states (MPS). We first analytically derive the two-photon bound state dispersion relation for a variety of atom-light interfaces and then proceed to numerically investigate the multiexcitation bound states dynamics. Interestingly, for all the specific systems studied, we find that the large-photon number limit always coincides with the soliton phenomenon of self-induced transparency or immediate generalizations thereof.http://doi.org/10.1103/PhysRevResearch.4.023026
spellingShingle G. Calajó
D. E. Chang
Emergence of solitons from many-body photon bound states in quantum nonlinear media
Physical Review Research
title Emergence of solitons from many-body photon bound states in quantum nonlinear media
title_full Emergence of solitons from many-body photon bound states in quantum nonlinear media
title_fullStr Emergence of solitons from many-body photon bound states in quantum nonlinear media
title_full_unstemmed Emergence of solitons from many-body photon bound states in quantum nonlinear media
title_short Emergence of solitons from many-body photon bound states in quantum nonlinear media
title_sort emergence of solitons from many body photon bound states in quantum nonlinear media
url http://doi.org/10.1103/PhysRevResearch.4.023026
work_keys_str_mv AT gcalajo emergenceofsolitonsfrommanybodyphotonboundstatesinquantumnonlinearmedia
AT dechang emergenceofsolitonsfrommanybodyphotonboundstatesinquantumnonlinearmedia