1994 |
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| 2. | A Kudrolli S Sridhar, Pandey A; Ramaswamy, R Signatures of chaos in quantum billiards: Microwave experiments Journal Article Physical Review E, 49 (1), pp. R11–R14, 1994. Abstract | Links | BibTeX | Tags: Action-Billiard, Chaos, Quantum chaos @article{Kudrolli1994, title = {Signatures of chaos in quantum billiards: Microwave experiments}, author = {A Kudrolli, S Sridhar, A Pandey and R Ramaswamy}, url = {https://link.aps.org/doi/10.1103/PhysRevE.49.R11}, doi = {10.1103/PhysRevE.49.R11}, year = {1994}, date = {1994-01-01}, journal = {Physical Review E}, volume = {49}, number = {1}, pages = {R11–R14}, 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 Δ 3 (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.}, keywords = {Action-Billiard, Chaos, Quantum chaos}, pubstate = {published}, tppubtype = {article} } 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 Δ 3 (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. |
1993 |
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| 1. | A Pandey, Ramaswamy R; Shukla, P Symmetry-breaking in quantum chaotic systems Journal Article Pramana, 45 (1), pp. 75-81, 1993, ISSN: 0973-7111. Abstract | Links | BibTeX | Tags: Quantum chaos, Symmetry Breaking @article{Pandey1993, title = {Symmetry-breaking in quantum chaotic systems}, author = {A Pandey, R Ramaswamy and P Shukla}, url = {https://doi.org/10.1007/BF02847320}, doi = {10.1007/BF02847320}, issn = {0973-7111}, year = {1993}, date = {1993-07-01}, journal = {Pramana}, volume = {45}, number = {1}, pages = {75-81}, abstract = {We show, using semiclassical methods, that as a symmetry is broken, the transition between universality classes for the spectral correlations of quantum chaotic systems is governed by the same parametrization as in the theory of random matrices. The theory is quantitatively verified for the kicked rotor quantum map. We also provide an explicit substantiation of the random matrix hypothesis, namely that in the symmetry-adapted basis the symmetry-violating operator is random.}, keywords = {Quantum chaos, Symmetry Breaking}, pubstate = {published}, tppubtype = {article} } We show, using semiclassical methods, that as a symmetry is broken, the transition between universality classes for the spectral correlations of quantum chaotic systems is governed by the same parametrization as in the theory of random matrices. The theory is quantitatively verified for the kicked rotor quantum map. We also provide an explicit substantiation of the random matrix hypothesis, namely that in the symmetry-adapted basis the symmetry-violating operator is random. |