Measuring lifetime of correspondence with classical decay of correlation in quantum chaos

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...

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Bibliographic Details
Published in:Europhysics letters 2016-02, Vol.113 (4), p.40008-40008
Main Authors: Matsui, Fumihiro, Yamada, Hiroaki S., Ikeda, Kensuke S.
Format: Article
Language:English
Subjects:
03.65.-w
05.45.-a
05.45.Mt
Chaos theory
Correlation analysis
Decay
Detectors
Eigenvectors
Hilbert space
Oscillators
Product life cycle
Quantum theory
Time measurement
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Summary: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.
ISSN:0295-5075
1286-4854
DOI:10.1209/0295-5075/113/40008