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Title: Photon entanglement entropy as a probe of many-body correlations and fluctuations

Abstract

Recent theories and experiments have explored the use of entangled photons as a spectroscopic probe of physical systems. In this work, we describe here a theoretical description for entropy production in the scattering of an entangled biphoton Fock state within an optical cavity. We develop this using perturbation theory by expanding the biphoton scattering matrix in terms of single-photon terms in which we introduce the photon-photon interaction via a complex coupling constant, ξ. We show that the von Neumann entropy provides a concise measure of this interaction. We then develop a microscopic model and show that in the limit of fast fluctuations, the entanglement entropy vanishes, whereas in the limit of slow fluctuations, the entanglement entropy depends on the magnitude of the fluctuations and reaches a maximum. In conclusion, our result suggests that experiments measuring biphoton entanglement give microscopic information pertaining to exciton-exciton correlations.

Authors:
ORCiD logo [1]; ORCiD logo [2];  [3]; ORCiD logo [4]; ORCiD logo [1]
  1. Univ. of Houston, TX (United States)
  2. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  3. Georgia Inst. of Technology, Atlanta, GA (United States); Istituto Italiano di Tecnologia, Milano (Italy)
  4. Georgia Inst. of Technology, Atlanta, GA (United States)
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE Laboratory Directed Research and Development (LDRD) Program
OSTI Identifier:
1544673
Report Number(s):
LA-UR-18-24362
Journal ID: ISSN 0021-9606
Grant/Contract Number:  
89233218CNA000001
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Journal of Chemical Physics
Additional Journal Information:
Journal Volume: 150; Journal Issue: 18; Journal ID: ISSN 0021-9606
Publisher:
American Institute of Physics (AIP)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY; Photon scattering; exciton-polaritons; photon entanglement

Citation Formats

Li, Hao, Piryatinski, Andrei, Srimath Kandada, Ajay Ram, Silva, Carlos, and Bittner, Eric R. Photon entanglement entropy as a probe of many-body correlations and fluctuations. United States: N. p., 2019. Web. doi:10.1063/1.5083613.
Li, Hao, Piryatinski, Andrei, Srimath Kandada, Ajay Ram, Silva, Carlos, & Bittner, Eric R. Photon entanglement entropy as a probe of many-body correlations and fluctuations. United States. doi:10.1063/1.5083613.
Li, Hao, Piryatinski, Andrei, Srimath Kandada, Ajay Ram, Silva, Carlos, and Bittner, Eric R. Tue . "Photon entanglement entropy as a probe of many-body correlations and fluctuations". United States. doi:10.1063/1.5083613.
@article{osti_1544673,
title = {Photon entanglement entropy as a probe of many-body correlations and fluctuations},
author = {Li, Hao and Piryatinski, Andrei and Srimath Kandada, Ajay Ram and Silva, Carlos and Bittner, Eric R.},
abstractNote = {Recent theories and experiments have explored the use of entangled photons as a spectroscopic probe of physical systems. In this work, we describe here a theoretical description for entropy production in the scattering of an entangled biphoton Fock state within an optical cavity. We develop this using perturbation theory by expanding the biphoton scattering matrix in terms of single-photon terms in which we introduce the photon-photon interaction via a complex coupling constant, ξ. We show that the von Neumann entropy provides a concise measure of this interaction. We then develop a microscopic model and show that in the limit of fast fluctuations, the entanglement entropy vanishes, whereas in the limit of slow fluctuations, the entanglement entropy depends on the magnitude of the fluctuations and reaches a maximum. In conclusion, our result suggests that experiments measuring biphoton entanglement give microscopic information pertaining to exciton-exciton correlations.},
doi = {10.1063/1.5083613},
journal = {Journal of Chemical Physics},
issn = {0021-9606},
number = 18,
volume = 150,
place = {United States},
year = {2019},
month = {5}
}

Journal Article:
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