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By Igor V. Lerner, Boris L. Altshuler, Yuval Gefen
Mesoscopic physics bargains with results at submicron and nanoscales the place the traditional knowledge of macroscopic averaging isn't any longer acceptable. a large choice of latest units have lately developed, all tremendous promising for significant novel instructions in expertise, together with carbon nanotubes, ballistic quantum dots, hybrid mesoscopic junctions made from diverse kind of common, superconducting and ferromagnetic fabrics. This, in flip, calls for a profound figuring out of basic actual phenomena on mesoscopic scales. therefore, the leading edge of basic study in condensed subject has been moved to the components the place the interaction among electron-electron interactions and quantum interference of phase-coherent electrons scattered by way of impurities and/or obstacles is the main to such knowing. An knowing of decoherence in addition to different results of the interactions is important for constructing destiny digital, photonic and spintronic units, together with the aspect base for quantum computation.
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Extra info for Fundamental Problems of Mesoscopic Physics: Interactions and Decoherence (NATO Science Series II: Mathematics, Physics and Chemistry)
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28] D. F. Walls and G. J. Milburn, Quantum Optics, Springer, Berlin Heidelberg (1994). [29] The general expression for the spectrum exhibits a divergence also in the limit (γJ , θ) → (0, kπ/2) due to the increasingly longer correlation time of the current fluctuations (see section 3). [30] O. Buisson, F. Balestro, J. Pekola, F. W. J. Hekking, to be publish in Phys. Rev. ; F. Balestro, PhD thesis Universit`e Joseph Fourier, Grenoble (unpublished). This page intentionally left blank Chapter 3 DEPHASING IN DISORDERED METALS WITH SUPERCONDUCTIVE GRAINS M.
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Pop. γJ ∼2 EJ EC 2 γJ . 26) Within such approximation, we can neglect terms of order e−ΓJ tJ with respect coher. pop. to 1 (or equivalently e−γ tJ with respect to e−γ tJ ) in the current expression, leading to Istrong ∼ − 2e tanh T EC Tb EJ EC 2 − 2 e EJ EC 2 γJ tJ +γC tC sin(2χ) sin φ . 27) The exponential suppression due to dephasing in the Josephson contact times is reduced by the factor sin(2µ) ∼ (EJ /EC )2 . Decoherence in a Cooper pair shuttle 4. 29 Cooper pair shuttle with SQUID loops We conclude by suggesting a possible experimental test of our results which does not require any mechanically moving part.