Parametric control in coupled fermionic oscillators

Arnab Ghosh
Phys. Rev. A 90, 043820 – Published 14 October 2014

Abstract

A simple model of parametric coupling between two fermionic oscillators is considered. Statistical properties, in particular the mean and variance of quanta for a single mode, are described by means of a time-dependent reduced density operator for the system and the associated P function. The density operator for fermionic fields as introduced by Cahill and Glauber [K. E. Cahill and R. J. Glauber, Phys. Rev. A 59, 1538 (1999)] thus can be shown to provide a quantum mechanical description of the fields closely resembling their bosonic counterpart. In doing so, special emphasis is given to population trapping, and quantum control over the states of the system.

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  • Received 19 May 2014
  • Revised 6 August 2014

DOI:https://doi.org/10.1103/PhysRevA.90.043820

©2014 American Physical Society

Authors & Affiliations

Arnab Ghosh*

  • Indian Association for the Cultivation of Science, Jadavpur, Kolkata 700 032, India

  • *stag@iacs.res.in

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Vol. 90, Iss. 4 — October 2014

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