Article (Scientific journals)
Displacement echoes: Classical decay and quantum freeze
Petitjean, Cyril; Bevilaqua, Diego V.; Heller, Eric J. et al.
2007In Physical Review Letters, 98 (16), p. 164101-4
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Abstract :
[en] Motivated by neutron scattering experiments, we investigate the decay of the fidelity with which a wave packet is reconstructed by a perfect time-reversal operation performed after a phase-space displacement. In the semiclassical limit, we show that the decay rate is generically given by the Lyapunov exponent of the classical dynamics. For small displacements, we additionally show that, following a short-time Lyapunov decay, the decay freezes well above the ergodic value because of quantum effects. Our analytical results are corroborated by numerical simulations.
Disciplines :
Physics
Author, co-author :
Petitjean, Cyril ;  Université de Liège - ULiège > Département de physique > Physique quantique statistique
Bevilaqua, Diego V.;  Harvard Univ, Dept Phys, Cambridge, MA 02138 USA.
Heller, Eric J.;  Harvard Univ, Dept Chem & Chem Biol, Cambridge, MA 02138 USA.
Jacquod, Philippe;  Univ Arizona, Dept Phys, Tucson, AZ 85721 USA.
Language :
English
Title :
Displacement echoes: Classical decay and quantum freeze
Publication date :
2007
Journal title :
Physical Review Letters
ISSN :
0031-9007
eISSN :
1079-7114
Publisher :
American Physical Soc, College Pk, United States - Maryland
Volume :
98
Issue :
16
Pages :
164101-4
Peer reviewed :
Peer Reviewed verified by ORBi
Available on ORBi :
since 04 December 2013

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