Memory Effects in Non-Interacting Mesoscopic Transport View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2013-12-10

AUTHORS

Horia D. Cornean, Arne Jensen, Gheorghe Nenciu

ABSTRACT

Consider a quantum dot coupled to two semi-infinite one-dimensional leads at thermal equilibrium. We turn on adiabatically a bias between the leads such that there exists exactly one discrete eigenvalue both at the beginning and at the end of the switching procedure. For a specific adiabatic limit scenario, it is shown that the expectation in the final bound state strongly depends on the history of the switching procedure. On the contrary, the contribution to the final steady-state corresponding to the continuous spectrum has no memory, and only depends on the initial and final values of the bias. More... »

PAGES

1919-1943

References to SciGraph publications

  • 2009-03-05. The Effect of Time-Dependent Coupling on Non-Equilibrium Steady States in ANNALES HENRI POINCARÉ
  • 2002-03. Non-Equilibrium Steady States of Finite¶Quantum Systems Coupled to Thermal Reservoirs in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 2011-11-04. Adiabatic Non-Equilibrium Steady States in the Partition Free Approach in ANNALES HENRI POINCARÉ
  • 2006-01-01. Mathematical Theory of the Wigner-Weisskopf Atom in LARGE COULOMB SYSTEMS
  • 2008-06-17. On Adiabatic Pair Creation in COMMUNICATIONS IN MATHEMATICAL PHYSICS
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  • 1980-06. On the adiabatic limit for Dirac particles in external fields in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 2002-09. Mathematical Theory of Non-Equilibrium Quantum Statistical Mechanics in JOURNAL OF STATISTICAL PHYSICS
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    http://scigraph.springernature.com/pub.10.1007/s00023-013-0293-1

    DOI

    http://dx.doi.org/10.1007/s00023-013-0293-1

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