Breakdown of the rotating-wave approximation in the description of entanglement of spin-anticorrelated states

Jing, Jun, Lu, Zhi-Guo and Ficek, Zbigniew (2009) Breakdown of the rotating-wave approximation in the description of entanglement of spin-anticorrelated states. Physical Review A - Atomic, Molecular, and Optical Physics, 79 4: 044305-1-044305-4. doi:10.1103/PhysRevA.79.044305

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Author Jing, Jun
Lu, Zhi-Guo
Ficek, Zbigniew
Title Breakdown of the rotating-wave approximation in the description of entanglement of spin-anticorrelated states
Journal name Physical Review A - Atomic, Molecular, and Optical Physics   Check publisher's open access policy
ISSN 1050-2947
1094-1622
Publication date 2009-04-01
Sub-type Article (original research)
DOI 10.1103/PhysRevA.79.044305
Open Access Status File (Publisher version)
Volume 79
Issue 4
Start page 044305-1
End page 044305-4
Total pages 4
Place of publication College Park, MD, United States
Publisher American Physical Society
Language eng
Abstract It is well established that an entanglement encoded in the Bell states of a two-qubit system with correlated spins exhibits completely different evolution properties from that encoded in states with the anticorrelated spins. A complete and abrupt loss of the entanglement, called the entanglement sudden death, can be found to occur for the spin-correlated states, but the entanglement evolves without any discontinuity or decays asymptotically for the spin-anticorrelated states. We consider the evolution of an initial entanglement encoded in the spin-anticorrelated states and demonstrate that the asymptotic behavior predicted before occurs only in the weak-coupling limit or equivalently when the rotating-wave approximation (RWA) is made on the interaction Hamiltonian of the qubits with the field. If we do not restrict ourselves to the RWA, we find that the entanglement undergoes a discontinuity, the sudden-death phenomenon. We illustrate this behavior by employing an efficient scheme for entanglement evolution between two cold-trapped atoms located inside a single-mode cavity. Although only a single excitation is initially present in the system, we find that the two-photon excited state, which plays the key role for the discontinuity in the behavior of the entanglement, gains a population over a short time of the evolution. When the RWA is made on the interaction, the two-photon excited state remains unpopulated for all times and the discontinuity is absent. We attribute this phenomenon to the principle of complementarity between the evolution time and energy, and the presence of the counter-rotating terms in the interaction Hamiltonian.
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status UQ
Additional Notes Article #044305

Document type: Journal Article
Sub-type: Article (original research)
Collection: School of Mathematics and Physics
 
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Created: Thu, 03 Sep 2009, 18:08:45 EST by Mr Andrew Martlew on behalf of Physics