Shot noise: From Schottky to Bell
Markus Büttiker
Universite de Geneve

April 16, 2007, 4:15 p.m.


The theoretical and experimental investigation of current fluctuations is one of the most active fields of mesoscopic physics.
We present a discussion of current cross correlators in mesoscopic conductors. Making an analogy to the optical Hanbury Brown Twiss experiment we discuss how quantum statistical effects and two-particle interference effects can be investigated with current cross correlations.
In particular we propose a geometry where first order interference effects (in conductance) are absent but shot noise correlations due to two particle physics exhibits an Aharonov-Bohm effect. In this geometry, the two particle Aharonov-Bohm effect is a direct indicator of orbital electron-electron entanglement. The visibility of the two particle Aharonov-Bohm effect determines the degree to which a Bell inequality can be violated.
We discuss quantum state tomography as means to evaluate arbitrary entanglement measures. We illustrate the theory with related experimental work.



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Shot noise: From Schottky to Bell
Markus Büttiker
Universite de Geneve

April 16, 2007, 4:15 p.m.


The theoretical and experimental investigation of current fluctuations is one of the most active fields of mesoscopic physics.
We present a discussion of current cross correlators in mesoscopic conductors. Making an analogy to the optical Hanbury Brown Twiss experiment we discuss how quantum statistical effects and two-particle interference effects can be investigated with current cross correlations.
In particular we propose a geometry where first order interference effects (in conductance) are absent but shot noise correlations due to two particle physics exhibits an Aharonov-Bohm effect. In this geometry, the two particle Aharonov-Bohm effect is a direct indicator of orbital electron-electron entanglement. The visibility of the two particle Aharonov-Bohm effect determines the degree to which a Bell inequality can be violated.
We discuss quantum state tomography as means to evaluate arbitrary entanglement measures. We illustrate the theory with related experimental work.



Share