| Issue |
EPL
Volume 113, Number 4, February 2016
|
|
|---|---|---|
| Article Number | 40008 | |
| Number of page(s) | 6 | |
| Section | General | |
| DOI | https://doi.org/10.1209/0295-5075/113/40008 | |
| 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
(a) fumihiro-matsui@xnea.net
(b) hyamada@uranus.dti.ne.jp
(c) ahoo@ike-dyn.ritsumei.ac.jp
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
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.