7 papers
Ehrenfest times for classically chaotic systems
P. G. Silvestrov, C. W. J. Beenakker
We describe the quantum mechanical spreading of a Gaussian wave packet by means of the semiclassical WKB approximation of Berry and Balazs. We find that the time scale on which…
Golden rule decay versus Lyapunov decay of the quantum Loschmidt echo
Ph. Jacquod, P. G. Silvestrov, C. W. J. Beenakker
The overlap of two wave functions evolving in time with slightly different Hamiltonians decays exponentially, for perturbation strengths greater than the level spacing. We present…
Limits to error correction in quantum chaos
P. G. Silvestrov, H. Schomerus, C. W. J. Beenakker
We study the correction of errors that have accumulated in an entangled state of spins as a result of unknown local variations in the Zeeman energy (B) and spin-spin interaction en…
Effect of inelastic scattering on the average Coulomb-blockade peak height in quantum dots
C. W. J. Beenakker, H. Schomerus, P. G. Silvestrov
The average height of the Coulomb-blockade conductance peaks for chaotic elastic scattering is known to increase by a factor of 4/3 upon breaking time-reversal symmetry. We calcula…
Scaling at the chaos threshold in an interacting quantum dot
X. Leyronas, P. G. Silvestrov, C. W. J. Beenakker
The chaotic mixing by random two-body interactions of many-electron Fock states in a confined geometry is investigated numerically and compared with analytical predictions. Two dis…
Coulomb blockade in quantum dots with overlapping resonances
P. G. Silvestrov, Y. Imry
Coulomb blockade (CB) in a quantum dot (QD) with one anomalously broad level is considered. In this case many consecutive pronounced CB peaks correspond to occupation of one and th…