dorsal/arxiv
View SchemaDecoherence of entangled kaons and its connection to entanglement measures
| Authors | Reinhold A. Bertlmann, Katharina Durstberger, Beatrix C. Hiesmayr |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0209017 |
| URL | https://arxiv.org/abs/quant-ph/0209017 |
| DOI | 10.1103/PhysRevA.68.012111 |
| Journal | Phys.Rev. A68 (2003) 012111 |
Abstract
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 2-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 the 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. the von Neumann entropy $S$, the entanglement of formation $E$ and the concurrence $C$, and we relate the decoherence parameter $\zeta$ to the loss of entanglement: $1 - E$.
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"abstract": "We study the time evolution of the entangled kaon system by considering the\nLiouville - von Neumann equation with an additional term which allows for\ndecoherence. We choose as generators of decoherence the projectors to the\n2-particle eigenstates of the Hamiltonian. Then we compare this model with the\ndata of the CPLEAR experiment and find in this way an upper bound on the\nstrength $\\lambda$ of the decoherence. We also relate $\\lambda$ to an effective\ndecoherence parameter $\\zeta$ considered previously in literature. Finally we\ndiscuss our model in the light of different measures of entanglement, i.e. the\nvon Neumann entropy $S$, the entanglement of formation $E$ and the concurrence\n$C$, and we relate the decoherence parameter $\\zeta$ to the loss of\nentanglement: $1 - E$.",
"arxiv_id": "quant-ph/0209017",
"authors": [
"Reinhold A. Bertlmann",
"Katharina Durstberger",
"Beatrix C. Hiesmayr"
],
"categories": [
"quant-ph",
"hep-ph"
],
"doi": "10.1103/PhysRevA.68.012111",
"journal_ref": "Phys.Rev. A68 (2003) 012111",
"title": "Decoherence of entangled kaons and its connection to entanglement measures",
"url": "https://arxiv.org/abs/quant-ph/0209017"
},
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