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Tsubasu Ichikawa: "Entanglement of Indistinguishable Particles"

Wann 08.02.2011 um 10:15 bis
20.02.2011 um 11:00
Wo FRIAS Seminarraum, Albertstr. 19, 79104 Freiburg
Kontakttelefon +49 761 203 97418
Teilnehmer Open to University employees
Termin übernehmen vCal

Tsubasu Ichikawa
Department of Physics, Kinki University, Japan


Entanglement of Indistinguishable Particles

Entanglement, which causes correlation stronger than classical one, plays a central role in quantum information science and foundation of quantum mechanics. For distinguishable par-ticles, the theoretical formulation of entanglement is well-established and utilized as an im-portant building block of theoretical works. On the other hand, for indistinguishable particles, we have no formulation as rigid as that for distinguishable particles.
In this seminar, I talk about our formulation of the entanglement of indistinguishable particles. First, I point out that the entanglement of distinguishable particles is formulated on the basis of tensor product structure (TPS) of state space, which is not inherent for that of indistin-guishable particles, because of (anti-)symmetrization. Second, I explain our method to im-plement TPS in the state space of indistinguishable particles. This is done by introducing a "measurement setup", which is represented as a set of orthogonal subspaces of one-particle state space. Third, I show implications of our formulation by various examples. We find that entanglement is relative to our choice of the measurement setups. Also, by this relative na-ture, we observe that our formulation reconciles former different approaches on this topic.