Breakdown of an ElectricField Driven System: A Mapping to a Quantum Walk
Abstract
Quantum transport properties of electron systems driven by strong electric fields are studied by mapping the LandauZener transition dynamics to a quantum walk on a semiinfinite onedimensional lattice with a reflecting boundary, where the sites correspond to energy levels and the boundary the ground state. Quantum interference induces a distribution localized around the ground state, and a delocalization transition occurs when the electric field is increased, which describes the dielectric breakdown in the original electron system.
 Publication:

Physical Review Letters
 Pub Date:
 March 2005
 DOI:
 10.1103/PhysRevLett.94.100602
 arXiv:
 arXiv:quantph/0407013
 Bibcode:
 2005PhRvL..94j0602O
 Keywords:

 05.60.Gg;
 05.40.Fb;
 72.10.Bg;
 Quantum transport;
 Random walks and Levy flights;
 General formulation of transport theory;
 Quantum Physics;
 Condensed Matter  Mesoscale and Nanoscale Physics
 EPrint:
 4 pages, 3 figures, Journalref added