Nodal domains statistics: a criterion for quantum chaos

Blum, Galya, Gnutzmann, Sven and Smilansky, Uzy 2002. Nodal domains statistics: a criterion for quantum chaos. Physical Review Letters (PRL) 88 (11) , 114101. 10.1103/PhysRevLett.88.114101

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Abstract

We consider the distribution of the (properly normalized) numbers of nodal domains of wave functions in 2D quantum billiards. We show that these distributions distinguish clearly between systems with integrable (separable) or chaotic underlying classical dynamics, and for each case the limiting distribution is universal (system independent). Thus, a new criterion for quantum chaos is provided by the statistics of the wave functions, which complements the well-established criterion based on spectral statistics.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Mathematics
Subjects:	Q Science > QA Mathematics
Publisher:	American Physical Society
ISSN:	0031-9007
Last Modified:	07 May 2023 14:00
URI:	https://orca.cardiff.ac.uk/id/eprint/1797

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