Classical and quantum pumping in closed systems
β Scribed by Doron Cohen
- Book ID
- 108269407
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 134 KB
- Volume
- 133
- Category
- Article
- ISSN
- 0038-1098
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π SIMILAR VOLUMES
## Abstract We introduce a mathematical setup for charge transport in quantum pumps connected to a number of external leads. It is proved that under rather general assumption on the Hamiltonian describing the system, in the adiabatic limit, the current through the pump is given by a formula of BΓΌtt
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 S, and by its variance VarΓ°Q Γ. We show that quantum mechanics invalidates some common conceptions about this s