skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

This content will become publicly available on May 14, 2020

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:
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},
number = 18,
volume = 150,
place = {United States},
year = {2019},
month = {5}
}

Journal Article:
Free Publicly Available Full Text
This content will become publicly available on May 14, 2020
Publisher's Version of Record

Save / Share:

Works referenced in this record:

Entangled Photon Excited Fluorescence in Organic Materials: An Ultrafast Coincidence Detector
journal, January 2017

  • Varnavski, Oleg; Pinsky, Brian; Goodson, Theodore
  • The Journal of Physical Chemistry Letters, Vol. 8, Issue 2
  • DOI: 10.1021/acs.jpclett.6b02378

Joint spectral characterization of photon-pair sources
journal, February 2018


Quantum computers
journal, March 2010


Photonic Hat Trick
journal, April 2017


Quantum interference in the presence of a resonant medium
journal, September 2017

  • Kalashnikov, Dmitry A.; Melik-Gaykazyan, Elizaveta V.; Kalachev, Alexey A.
  • Scientific Reports, Vol. 7, Issue 1
  • DOI: 10.1038/s41598-017-11694-z

Entangled Two Photon Absorption Cross Section on the 808 nm Region for the Common Dyes Zinc Tetraphenylporphyrin and Rhodamine B
journal, October 2017

  • Villabona-Monsalve, Juan P.; Calderón-Losada, Omar; Nuñez Portela, M.
  • The Journal of Physical Chemistry A, Vol. 121, Issue 41
  • DOI: 10.1021/acs.jpca.7b06450

Photodetection and causality in quantum optics
journal, August 1995


A multimode quantum theory of a degenerate parametric amplifier in a cavity
journal, June 1984


Suppression of population transport and control of exciton distributions by entangled photons
journal, April 2013

  • Schlawin, Frank; Dorfman, Konstantin E.; Fingerhut, Benjamin P.
  • Nature Communications, Vol. 4, Issue 1
  • DOI: 10.1038/ncomms2802

Quantum imaging with undetected photons
journal, August 2014

  • Lemos, Gabriela Barreto; Borish, Victoria; Cole, Garrett D.
  • Nature, Vol. 512, Issue 7515
  • DOI: 10.1038/nature13586

Dealing with entanglement of continuous variables: Schmidt decomposition with discrete sets of orthogonal functions
journal, July 2005

  • Lamata, Lucas; León, Juan
  • Journal of Optics B: Quantum and Semiclassical Optics, Vol. 7, Issue 8
  • DOI: 10.1088/1464-4266/7/8/004

Probing dynamical symmetry breaking using quantum-entangled photons
journal, November 2017

  • Li, Hao; Piryatinski, Andrei; Jerke, Jonathan
  • Quantum Science and Technology, Vol. 3, Issue 1
  • DOI: 10.1088/2058-9565/aa93b6

Manipulation of two-photon-induced fluorescence spectra of chromophore aggregates with entangled photons: A simulation study
journal, August 2012

  • Schlawin, Frank; Dorfman, Konstantin E.; Fingerhut, Benjamin P.
  • Physical Review A, Vol. 86, Issue 2
  • DOI: 10.1103/physreva.86.023851

Spatial Control of Entangled Two-Photon Absorption with Organic Chromophores
journal, June 2010

  • Guzman, Alica R.; Harpham, Michael R.; Süzer, Özgün
  • Journal of the American Chemical Society, Vol. 132, Issue 23
  • DOI: 10.1021/ja1016816

Quantum Theory of Radiation
journal, January 1932


Induced coherence and indistinguishability in optical interference
journal, July 1991


Entangled-Photon Virtual-State Spectroscopy
journal, April 1998


Spectroscopy by frequency-entangled photon pairs
journal, January 2004


Optically Excited Entangled States in Organic Molecules Illuminate the Dark
journal, June 2013

  • Upton, L.; Harpham, M.; Suzer, O.
  • The Journal of Physical Chemistry Letters, Vol. 4, Issue 12
  • DOI: 10.1021/jz400851d

Entangled Photon Absorption in an Organic Porphyrin Dendrimer
journal, December 2006

  • Lee, Dong-Ik; Goodson, Theodore
  • The Journal of Physical Chemistry B, Vol. 110, Issue 51
  • DOI: 10.1021/jp066767g

Entangled Photon-Pair Two-Dimensional Fluorescence Spectroscopy (EPP-2DFS)
journal, September 2013

  • Raymer, M. G.; Marcus, Andrew H.; Widom, Julia R.
  • The Journal of Physical Chemistry B, Vol. 117, Issue 49
  • DOI: 10.1021/jp405829n