Voltage-probe and imaginary-potential models for dephasing in a chaotic quantum dot | Zendy

Piet W. Brouwer | Zendy; C. W. J. Beenakker | Zendy

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Voltage-probe and imaginary-potential models for dephasing in a chaotic quantum dot

Author(s) -

Piet W. Brouwer,

C. W. J. Beenakker

Publication year - 1997

Publication title -

physical review. b, condensed matter

Language(s) - English

Resource type - Journals

eISSN - 1095-3795

pISSN - 0163-1829

DOI - 10.1103/physrevb.55.4695

Subject(s) - dephasing , physics , quantum dot , hamiltonian (control theory) , quantum mechanics , quantum tunnelling , gaussian , scattering , condensed matter physics , coupling (piping) , quantum decoherence , quantum , statistical physics , mathematics , materials science , mathematical optimization , metallurgy

We compare two widely used models for dephasing in a chaotic quantum dot: Theintroduction of a fictitious voltage probe into the scattering matrix and theaddition of an imaginary potential to the Hamiltonian. We identify the limit inwhich the two models are equivalent and compute the distribution of theconductance in that limit. Our analysis explains why previous treatments ofdephasing gave different results. The distribution remains non-Gaussian forstrong dephasing if the coupling of the quantum dot to the electron reservoirsis via ballistic single-mode point contacts, but becomes Gaussian if thecoupling is via tunneling contacts.Comment: 9 pages, RevTeX, 6 figures. Mistake in Eq. (35) correcte

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