Chaotic signatures in the spectrum of a quantum double well
β Scribed by R. Berkovits; Y. Ashkenazy; L.P. Horwitz; J. Levitan
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 301 KB
- Volume
- 238
- Category
- Article
- ISSN
- 0378-4371
No coin nor oath required. For personal study only.
β¦ Synopsis
The spectrum of a double well constructed of a square barrier embedded in an infinite well is analyzed. Level statistics for levels slightly above the barrier show signs of Wigner statistics usually associated with quantum chaos. The correspondence with Wigner statistics improves when an ensemble of systems with slightly different barrier heights is taken, possibly reflecting an adiabatic time-dependent modulation of the barrier.
π SIMILAR VOLUMES
We present a new convergent iterative solution for the two lowest quantum wave functions Ο ev and Ο od of the Hamiltonian with a quartic double-well potential V in one dimension. By starting from a trial function, which is by itself the exact lowest even or odd eigenstate of a different Hamiltonian
We have calculated the exciton binding energy in an Al x Ga 1-x As/GaAs double quantum well by a variational envelope function procedure using a simple two-band model. The influence of the shift of the AlAs separating barrier, introducing an asymmetry into the system, on the value of the exciton bin