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 quasimomentum (quasicharge) space and prove their duality to the analogous quantities in the coordinate space. Quantum coherence destruction, diffusion and localization in the quasimomentum 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< R_{Q} ( R being the shunt resistance).
 Publication:

Physics Letters A
 Pub Date:
 March 1987
 DOI:
 10.1016/03759601(87)906773
 Bibcode:
 1987PhLA..120..306Z