29,024 research outputs found
Dynamical Universal Behavior in Quantum Chaotic Systems
We discover numerically that a moving wave packet in a quantum chaotic
billiard will always evolve into a quantum state, whose density probability
distribution is exponential. This exponential distribution is found to be
universal for quantum chaotic systems with rigorous proof. In contrast, for the
corresponding classical system, the distribution is Gaussian. We find that the
quantum exponential distribution can smoothly change to the classical Gaussian
distribution with coarse graining.Comment: 4 figure
Critical correlations in an ultracold Bose gas revealed by means of a temporal Talbot-Lau interferometer
We study experimentally the critical correlation in an ultra-cold Bose gas
with a temporal Talbot-Lau (TL) interferometer. Near the critical temperature,
we observe a bi-modal density distribution in an ultra-cold Bose gas after the
application of the TL interferometer. The measured fraction of the narrower
peak in the density distribution displays a clear peak within the critical
regime. The peak position agrees with the critical temperature calculated with
the finite-size and interaction corrections. The critical exponents are
extracted from the peak and they agree with the critical exponents for the
correlation length.Comment: 5 pages, 3 figures and supplemental materia
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