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arXiv · 1603.07049

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

Fumihiro Matsui·Hiroaki S. Yamada·Kensuke S. Ikeda
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Abstract

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 $N^2$ in the case of full superposition.

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Fumihiro Matsui, Hiroaki S. Yamada, Kensuke S. Ikeda. 2016-03-23. Measuring lifetime of correspondence with classical decay of correlation in quantum chaos. https://doi.org/10.1209/0295-5075/113/40008

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