Perturbation approach for computing frequency- and time-resolved photon correlation functions

David I. H. Holdaway, Valentina Notararigo, and Alexandra Olaya-Castro
Phys. Rev. A 98, 063828 – Published 19 December 2018

Abstract

We propose an alternative formulation of the sensor method presented in Phys. Rev. Lett. 109, 183601 (2012) for the calculation of frequency-filtered and time-resolved photon correlations. Our approach is based on an algebraic expansion of the joint steady state of quantum emitter and sensors with respect to the emitter-sensor coupling parameter ε. This allows us to express photon correlations in terms of the open quantum dynamics of the emitting system only and ensures that computation of correlations are independent on the choice of a small value of ε. Moreover, using time-dependent perturbation theory, we are able to express the frequency- and time-resolved second-order photon correlation as the addition of three components, each of which gives insight into the physical processes dominating the correlation at different time scales. We consider a bioinspired vibronic dimer model to illustrate the agreement between the original formulation and our approach.

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  • Received 3 October 2018

DOI:https://doi.org/10.1103/PhysRevA.98.063828

©2018 American Physical Society

Physics Subject Headings (PhySH)

Atomic, Molecular & OpticalPhysics of Living Systems

Authors & Affiliations

David I. H. Holdaway, Valentina Notararigo, and Alexandra Olaya-Castro*

  • Department of Physics and Astronomy, University College London, Gower Street, WC1E 6BT, London, United Kingdom

  • *a.olaya@ucl.ac.uk

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Issue

Vol. 98, Iss. 6 — December 2018

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