Time-dependent exchange and tunneling: Detection at the same place of two electrons emitted simultaneously from different sources

D. Marian, E. Colomés, X. Oriols

Research output: Contribution to journalArticleResearchpeer-review

19 Citations (Scopus)

Abstract

© 2015 IOP Publishing Ltd. Two-particle scattering probabilities in tunneling scenarios with exchange interaction are analyzed with quasi-particle wave packets. Two initial one-particle wave packets (with opposite central momentums) are spatially localized at each side of a barrier. After impinging upon a tunneling barrier, each wave packet splits into transmitted and reflected components. When the initial two-particle anti-symmetrical state is defined as a Slater determinant of any type of (normalizable) one-particle wave packet, it is shown that the probability of detecting two (identically injected) electrons at the same side of the barrier is different from zero in very common (single or double barrier) scenarios. In some particular scenarios, the transmitted and reflected components become orthogonal and the mentioned probabilities reproduce those values associated to distinguishable particles. These unexpected non-zero probabilities are still present when non-separable Coulomb interaction or non-symmetrical potentials are considered. On the other hand, for initial wave packets close to Hamiltonian eigenstates, the usual zero two-particle probability for electrons at the same side of the barrier found in the literature is recovered. The generalization to many-particle scattering probabilities with quasi-particle wave packets for low and high phase-space density are also analyzed. The far-reaching consequences of these non-zero probabilities in the accurate evaluation of quantum noise in mesoscopic systems are briefly indicated.
Original languageEnglish
Article number245302
JournalJournal of Physics Condensed Matter
Volume27
Issue number24
DOIs
Publication statusPublished - 24 Jun 2015

Keywords

  • exchange interaction
  • time dependent quantum transport
  • tunneling
  • two-electron interference phenomena
  • wave packet

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