Hidden PT symmetry and quantization of a coupled-oscillator model of quantum amplification by superradiant emission of radiation

Lida Zhang (张理达), G. S. Agarwal, W. P. Schleich, and M. O. Scully
Phys. Rev. A 96, 013827 – Published 14 July 2017

Abstract

With Maxwell-Bloch equations how the superradiance can lead to amplification and gain at a frequency much larger than the pumping frequency has been shown. This remarkable effect has been examined in terms of a simpler model involving two coupled oscillators, with one of them parametrically driven. We show that this coupled-oscillator model has a hidden parity-time (PT) symmetry for quantum amplification by superradiant emission of radiation (QASER); we thus bring PT symmetry to the realm of parametrically coupled resonators. Moreover, we find that the QASER gain arises from the broken-PT-symmetry phase. We then quantize the simplified version of QASER using quantum Langevin equations. The quantum description enables us to understand how the system starts from quantum fluctuations.

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  • Received 15 April 2017

DOI:https://doi.org/10.1103/PhysRevA.96.013827

©2017 American Physical Society

Physics Subject Headings (PhySH)

Atomic, Molecular & OpticalNonlinear DynamicsGeneral Physics

Authors & Affiliations

Lida Zhang (张理达)1, G. S. Agarwal1, W. P. Schleich1,2, and M. O. Scully1,3,4

  • 1Texas A & M University, College Station, Texas 77843, USA
  • 2Universität Ulm, D-89081 Ulm, Germany
  • 3Princeton University, Princeton, New Jersey 08544, USA
  • 4Baylor University, Waco, Texas 76798, USA

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Issue

Vol. 96, Iss. 1 — July 2017

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