Decoherence of entangled kaons and its connection to entanglement measures

Journal Article · Tue Jul 01 04:00:00 EDT 2003 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.68.012111· OSTI ID:20639866

Bertlmann, Reinhold A; Durstberger, Katharina; Hiesmayr, Beatrix C ^[1]

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1. Institute for Theoretical Physics, University of Vienna, Boltzmanngasse 5, A-1090 Vienna, (Austria)

We study the time evolution of the entangled kaon system by considering the Liouville-von Neumann equation with an additional term which allows for decoherence. We choose, as generators of decoherence, the projectors to the two-particle eigenstates of the Hamiltonian. Then we compare this model with the data of the CPLEAR experiment and find in this way an upper bound on strength {lambda} of the decoherence. We also relate {lambda} to an effective decoherence parameter {zeta} considered previously in literature. Finally we discuss our model in the light of different measures of entanglement, i.e., von Neumann entropy S, entanglement of formation E, and concurrence C, and we relate decoherence parameter {zeta} to the loss of entanglement: 1-E.

• OSTI ID: 20639866
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 1 Vol. 68; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
BOLTZMANN-VLASOV EQUATION
COMPARATIVE EVALUATIONS
CORRELATIONS
EIGENFUNCTIONS
EIGENSTATES
EIGENVALUES
ENERGY LEVELS
ENTROPY
EVOLUTION
HAMILTONIANS
KAONS
LIOUVILLE THEOREM
QUANTUM MECHANICS
VISIBLE RADIATION