Constraints on dephasing widths and shifts in three-level quantum systems

P. R. Berman and Ross C. O’Connell
Phys. Rev. A 71, 022501 – Published 2 February 2005

Abstract

It is shown that the density matrix equations for a three-level quantum system interacting with external radiation fields can lead to negative populations if arbitrary dephasing rates and shifts are included in these equations. To guarantee non-negative populations, the equations themselves impose certain restrictions on the dephasing widths and shifts. The constraints on the widths are shown to be identical to those that can be derived from a model of Markovian dephasing events, independent of any atom-field interaction.

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  • Received 2 September 2004

DOI:https://doi.org/10.1103/PhysRevA.71.022501

©2005 American Physical Society

Authors & Affiliations

P. R. Berman and Ross C. O’Connell

  • Michigan Center for Theoretical Physics, FOCUS Center, and Physics Department, University of Michigan, Ann Arbor, Michigan 48109-1120, USA

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Vol. 71, Iss. 2 — February 2005

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