Entangled-state cycles of atomic collective-spin states

A. Chia and A. S. Parkins
Phys. Rev. A 77, 033810 – Published 5 March 2008

Abstract

We study quantum trajectories of collective atomic spin states of N effective two-level atoms driven with laser and cavity fields. We show that interesting “entangled-state cycles” arise probabilistically when the (Raman) transition rates between the two atomic levels are set equal. For odd (even) N, there are (N+1)/2 (N/2) possible cycles. During each cycle the N-qubit state switches, with each cavity photon emission, between the states (|N/2,m±|N/2,m)/2, where |N/2,m is a Dicke state in a rotated collective basis. The quantum number m (>0), which distinguishes the particular cycle, is determined by the photon counting record and varies randomly from one trajectory to the next. For even N it is also possible, under the same conditions, to prepare probabilistically (but in steady state) the Dicke state |N/2,0, i.e., an N-qubit state with N/2 excitations, which is of particular interest in the context of multipartite entanglement.

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  • Received 28 June 2007

DOI:https://doi.org/10.1103/PhysRevA.77.033810

©2008 American Physical Society

Authors & Affiliations

A. Chia1,2,3 and A. S. Parkins3

  • 1Centre for Quantum Computer Technology, Brisbane, Queensland 4111, Australia
  • 2Centre for Quantum Dynamics, School of Biomolecular and Physical Sciences, Griffith University, Brisbane, Queensland 4111, Australia
  • 3Department of Physics, University of Auckland, Private Bag 92019, Auckland, New Zealand

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Issue

Vol. 77, Iss. 3 — March 2008

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