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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American Physical Society
2016
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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. |
first_indexed | 2024-09-23T15:38:33Z |
format | Article |
id | mit-1721.1/104650 |
institution | Massachusetts Institute of Technology |
language | English |
last_indexed | 2024-09-23T15:38:33Z |
publishDate | 2016 |
publisher | American Physical Society |
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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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