Kudrolli, A. ; Sridhar, S. ; Pandey, Akhilesh ; Ramaswamy, Ramakrishna (1994) Signatures of chaos in quantum billiards: Microwave experiments Physical Review E - Statistical, Nonlinear and Soft Matter Physics, 49 (1). R11-R14. ISSN 1539-3755
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Official URL: http://pre.aps.org/abstract/PRE/v49/i1/pR11_1
Related URL: http://dx.doi.org/10.1103/PhysRevE.49.R11
Abstract
The signatures of classical chaos and the role of periodic orbits in the wave-mechanical eigenvalue spectra of two-dimensional billiards are studied experimentally in microwave cavities. The survival probability for all the chaotic cavity data shows a "correlation hole," in agreement with theory, that is absent for the integrable cavity. The spectral rigidity Δ3(L), which is a measure of long-range correlation, is shown to be particularly sensitive to the presence of marginally stable periodic orbits. Agreement with random-matrix theory is achieved only after excluding such orbits, which we do by constructing a special geometry, the Sinai stadium. Pseudointegrable geometries are also studied, and are found to display intermediate behavior.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to The American Physical Society. |
| ID Code: | 45347 |
| Deposited On: | 28 Jun 2011 04:42 |
| Last Modified: | 28 Jun 2011 04:42 |
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