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VOLUME 81, NUMBER 14 P H Y S I C A L R E V I E W L E T T E R S 5 OCTOBER 1998 Probability Amplitude Fluctuations in Experimental Wave Chaotic Eigenmodes with and
 

Summary: VOLUME 81, NUMBER 14 P H Y S I C A L R E V I E W L E T T E R S 5 OCTOBER 1998
Probability Amplitude Fluctuations in Experimental Wave Chaotic Eigenmodes with and
Without Time-Reversal Symmetry
Dong Ho Wu, Jesse S. A. Bridgewater, Ali Gokirmak, and Steven M. Anlage
Center for Superconductivity Research, Department of Physics, University of Maryland, College Park, Maryland 20742-4111
(Received 23 June 1998)
We have measured the probability density jc r j2
in the semiclassical limit of a classically chaotic
square well potential with and without time reversal symmetry, and compared our findings with theo-
retical predictions. We find that wave functions with time-reversal symmetry have larger fluctuations
than those without time-reversal symmetry. To quantify the degree of these fluctuations, eigenmodes
both with and without time-reversal symmetry are statistically analyzed and the two-point spatial cor-
relation function and the probability density distribution function of the eigenmodes are found to agree
with theoretical predictions. [S0031-9007(98)07259-7]
PACS numbers: 05.45.+b, 03.65.Ge, 73.23.b, 85.70.Ge
The quantum mechanical behavior of nonintegrable sys-
tems has been a very intriguing subject for many decades
and is still one of active research [1]. This is not only be-
cause of the interesting fundamental physics of "quantum
chaos" but also because of the strong analogy between the

  

Source: Anlage, Steven - Center for Superconductivity Research & Department of Physics, University of Maryland at College Park

 

Collections: Materials Science