Effective Field Theory for Rydberg Polaritons

We develop an effective field theory (EFT) to describe the few- and many-body propagation of one-dimensional Rydberg polaritons. We show that the photonic transmission through the Rydberg medium can be found by mapping the propagation problem to a nonequilibrium quench, where the role of time and sp...

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Main Authors: Gullans, M. J., Wang, Y., Lukin, M. D., Gorshkov, A. V., Thompson, Jeffrey Douglas, Liang, Qiyu, Vuletic, Vladan
Other Authors: Massachusetts Institute of Technology. Department of Physics
Format: Article
Language:English
Published: American Physical Society 2016
Online Access:http://hdl.handle.net/1721.1/104650
https://orcid.org/0000-0001-5986-4514
https://orcid.org/0000-0002-2430-7248
https://orcid.org/0000-0002-9786-0538
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author Gullans, M. J.
Wang, Y.
Lukin, M. D.
Gorshkov, A. V.
Thompson, Jeffrey Douglas
Liang, Qiyu
Vuletic, Vladan
author2 Massachusetts Institute of Technology. Department of Physics
author_facet Massachusetts Institute of Technology. Department of Physics
Gullans, M. J.
Wang, Y.
Lukin, M. D.
Gorshkov, A. V.
Thompson, Jeffrey Douglas
Liang, Qiyu
Vuletic, Vladan
author_sort Gullans, M. J.
collection MIT
description We develop an effective field theory (EFT) to describe the few- and many-body propagation of one-dimensional Rydberg polaritons. We show that the photonic transmission through the Rydberg medium can be found by mapping the propagation problem to a nonequilibrium quench, where the role of time and space are reversed. We include effective range corrections in the EFT and show that they dominate the dynamics near scattering resonances in the presence of deep bound states. Finally, we show how the long-range nature of the Rydberg-Rydberg interactions induces strong effective N-body interactions between Rydberg polaritons. These results pave the way towards studying nonperturbative effects in quantum field theories using Rydberg polaritons.
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spelling mit-1721.1/1046502022-10-02T03:08:26Z Effective Field Theory for Rydberg Polaritons Gullans, M. J. Wang, Y. Lukin, M. D. Gorshkov, A. V. Thompson, Jeffrey Douglas Liang, Qiyu Vuletic, Vladan Massachusetts Institute of Technology. Department of Physics Thompson, Jeffrey Douglas Liang, Qiyu Vuletic, Vladan We develop an effective field theory (EFT) to describe the few- and many-body propagation of one-dimensional Rydberg polaritons. We show that the photonic transmission through the Rydberg medium can be found by mapping the propagation problem to a nonequilibrium quench, where the role of time and space are reversed. We include effective range corrections in the EFT and show that they dominate the dynamics near scattering resonances in the presence of deep bound states. Finally, we show how the long-range nature of the Rydberg-Rydberg interactions induces strong effective N-body interactions between Rydberg polaritons. These results pave the way towards studying nonperturbative effects in quantum field theories using Rydberg polaritons. MIT-Harvard Center for Ultracold Atoms U.S. Army Research Laboratory. Center for Distributed Quantum Information National Science Foundation (U.S.) Quantum Information Science United States. Air Force Office of Scientific Research United States. Army Research Office United States. Army Research Office. Multidisciplinary University Research Initiative National Science Foundation (U.S.) (Kavli Institute for Theoretical Physics. Grant NSF PHY11-25915) 2016-10-06T17:08:27Z 2016-10-06T17:08:27Z 2016-09 2016-05 2016-09-09T22:00:13Z Article http://purl.org/eprint/type/JournalArticle 0031-9007 1079-7114 http://hdl.handle.net/1721.1/104650 Gullans, M. J. et al. “Effective Field Theory for Rydberg Polaritons.” Physical Review Letters 117.11 (2016): n. pag. https://orcid.org/0000-0001-5986-4514 https://orcid.org/0000-0002-2430-7248 https://orcid.org/0000-0002-9786-0538 en http://dx.doi.org/10.1103/PhysRevLett.117.113601 Physical Review Letters Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. American Physical Society application/pdf American Physical Society American Physical Society
spellingShingle Gullans, M. J.
Wang, Y.
Lukin, M. D.
Gorshkov, A. V.
Thompson, Jeffrey Douglas
Liang, Qiyu
Vuletic, Vladan
Effective Field Theory for Rydberg Polaritons
title Effective Field Theory for Rydberg Polaritons
title_full Effective Field Theory for Rydberg Polaritons
title_fullStr Effective Field Theory for Rydberg Polaritons
title_full_unstemmed Effective Field Theory for Rydberg Polaritons
title_short Effective Field Theory for Rydberg Polaritons
title_sort effective field theory for rydberg polaritons
url http://hdl.handle.net/1721.1/104650
https://orcid.org/0000-0001-5986-4514
https://orcid.org/0000-0002-2430-7248
https://orcid.org/0000-0002-9786-0538
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