Non Saturation of Energy in a Quantum Kicked Oscillator

• Authors: M. Daly , D. Hefernan
• Languages of publication: EN

Abstracts

EN

We present a quantum mapping for the kicked harmonic oscillator which relates the probability amplitudes of the undriven oscillator's eigenfunctions over successive kicks. We show how for various kick strengths the wave functions have a linear energy increase up to the limit imposed by the finite matrix size of the evolution matrix. We use this linear energy increase to define a quantum diffusion-like coefficient. We also show how this increase in energy causes the wave functions to spread out and become diffuse with little or no discernible structure. This model may serve as a paradigm for the study of quantum chaos.

Keywords

EN

03.65.-w; 05.45.+b

Discipline

• 03.65.-w: Quantum mechanics[see also 03.67.-a Quantum information; 05.30.-d Quantum statistical mechanics; 31.30.J- Relativistic and quantum electrodynamics (QED) effects in atoms, molecules, and ions in atomic physics]

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 1996
• Volume: 89
• Issue: 5-6
• Pages: 571-580

Dates

published

1996-05

received

1995-11-28

(unknown)

1996-02-05

Contributors

author

M. Daly

• Department of Mathematical Physics, St. Patrick's College Maynooth, Co. Kildare, Ireland

author

D. Hefernan

• Department of Mathematical Physics, St. Patrick's College Maynooth, Co. Kildare, Ireland
• School of Theoretical Physics, Dublin Institute for Advanced Studies, Dublin 4, Ireland

Identifiers

DOI

10.12693/APhysPolA.89.571