Antiresonances as precursors of decoherence

Details Antiresonances as precursors of decoherence Antiresonances as precursors of decoherence

2005-11-15

arxiv.org/abs/cond-mat/0511360v1

Europhysics Letters 73, 164 (2006).

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

7 pages, 2 figures, to appear in Europhys. Lett

Scientific paper

10.1209/epl/i2005-10374-9

We show that, in presence of a complex spectrum, antiresonances act as a precursor for dephasing enabling the crossover to a fully decoherent transport even within a unitary Hamiltonian description. This general scenario is illustrated here by focusing on a quantum dot coupled to a chaotic cavity containing a finite, but large, number of states using a Hamiltonian formulation. For weak coupling to a chaotic cavity with a sufficiently dense spectrum, the ensuing complex structure of resonances and antiresonances leads to phase randomization under coarse graining in energy. Such phase instabilities and coarse graining are the ingredients for a mechanism producing decoherence and thus irreversibility. For the present simple model one finds a conductance that coincides with the one obtained by adding a ficticious voltage probe within the Landauer-Buettiker picture. This sheds new light on how the microscopic mechanisms that produce phase fluctuations induce decoherence.

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