Dynamics of a quantum dissipative system: Duality between coordinate and quasimomentum spaces
Abstract
The motion of a quantum particle in the presence of the washboard potential and linear friction is studied. We find the general expressions for the occupation probabilities in the quasi-momentum (quasi-charge) space and prove their duality to the analogous quantities in the coordinate space. Quantum coherence destruction, diffusion and localization in the quasi-momentum space are discussed and the mobility of the particle is calculated. The influence of quantum effects on the I- V curves of small Josephson junctions is examined. It is shown that the region of Bloch oscillations is restricted by the condition R>R Q=π/2e 2≈6.5 kΩ , while Josephson oscillations exist at R< RQ ( R being the shunt resistance).
- Publication:
-
Physics Letters A
- Pub Date:
- March 1987
- DOI:
- 10.1016/0375-9601(87)90677-3
- Bibcode:
- 1987PhLA..120..306Z