Adiabatic quantization of Andreev levels
| dc.creator | Silvestrov, P. G. | |
| dc.creator | Goorden, M. C. | |
| dc.creator | Beenakker, C. W. J. | |
| dc.date | 2002-08-09 | |
| dc.date | 2003-04-03 | |
| dc.date.accessioned | 2026-07-07T02:46:47Z | |
| dc.date.available | 2026-07-07T02:46:47Z | |
| dc.description | We identify the time $T$ between Andreev reflections as a classical adiabatic invariant in a ballistic chaotic cavity (Lyapunov exponent $λ$), coupled to a superconductor by an $N$-mode point contact. Quantization of the adiabatically invariant torus in phase space gives a discrete set of periods $T_{n}$, which in turn generate a ladder of excited states $ε_{nm}=(m+1/2)π\hbar/T_{n}$. The largest quantized period is the Ehrenfest time $T_{0}=λ^{-1}\ln N$. Projection of the invariant torus onto the coordinate plane shows that the wave functions inside the cavity are squeezed to a transverse dimension $W/\sqrt{N}$, much below the width $W$ of the point contact. | |
| dc.description | 4 pages, 3 figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0208192 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0208192 | |
| dc.identifier | Phys. Rev. Lett. 90, 116801 (2003) | |
| dc.identifier | doi:10.1103/PhysRevLett.90.116801 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/19763 | |
| dc.subject | Mesoscale and Nanoscale Physics | |
| dc.subject | Chaotic Dynamics | |
| dc.title | Adiabatic quantization of Andreev levels | |
| dc.type | text |