Abstract
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 language | English |
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Pages (from-to) | 555-560 |
Number of pages | 6 |
Journal | Physica E: Low-Dimensional Systems and Nanostructures |
Volume | 42 |
Issue number | 3 |
DOIs | |
State | Published - 1 Jan 2010 |
Keywords
- 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