Quantum transport and counting statistics in closed systems

Maya Chuchem, Doron Cohen

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


A current can be induced in a closed device by changing control parameters. The amount Q of particles that are transported via a path of motion is characterized by its expectation value 〈 Q 〉, and by its variance Var (Q). We show that quantum mechanics invalidates some common conceptions about this statistics. We first consider the process of a double path crossing, which is the prototype example for counting statistics in multiple path non-trivial geometry. We find out that contrary to the common expectation, this process does not lead to partition noise. Then we analyze a full stirring cycle that consists of a sequence of two Landau-Zener crossings. We find out that quite generally counting statistics and occupation statistics become unrelated, and that quantum interference affects them in different ways.

Original languageEnglish
Pages (from-to)555-560
Number of pages6
JournalPhysica E: Low-Dimensional Systems and Nanostructures
Issue number3
StatePublished - 1 Jan 2010


  • Adiabatic processes
  • Aharonov-Bohm geometry
  • Interference
  • Landau-Zener transitions
  • Quantum stirring
  • Topological effects

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Atomic and Molecular Physics, and Optics
  • Condensed Matter Physics


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