Volume 113, Number 4, February 2016
|Number of page(s)||6|
|Published online||11 March 2016|
Measuring lifetime of correspondence with classical decay of correlation in quantum chaos
1 Department of Physics, College of Science and Engineering, Ritsumeikan University - Noji-higashi 1-1-1, Kusatsu 525-8577, Japan
2 Yamada Physics Research Laboratory - Aoyama 5-7-14-205, Niigata 950-2002, Japan
3 College of Science and Engineering, Ritsumeikan University - Noji-higashi 1-1-1, Kusatsu 525-8577, Japan
Received: 31 December 2015
Accepted: 29 February 2016
A very weakly coupled linear oscillator is proposed as a detector for observing time-irreversible characteristics of a quantum system, and it is used to measure the lifetime during which a classically chaotic quantum system shows decay of correlation. Except for a particular case where the lifetime agrees with the conventional Heisenberg time, which is proportional to the Hilbert space dimension N, it is in general much longer: the lifetime increases in proportion to the product of N and the number of superposed eigenstates, and is proportional to N2 in the case of full superposition.
PACS: 05.45.Mt – Quantum chaos; semiclassical methods / 05.45.-a – Nonlinear dynamics and chaos / 03.65.-w – Quantum mechanics
© EPLA, 2016
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