TY - JOUR
T1 - Decay of the Loschmidt Echo for quantum states with sub-Planck-scale structures
AU - Jacquod, P
AU - Adagideli, I
AU - Beenakker, CWJ
PY - 2002/10/7
Y1 - 2002/10/7
N2 - Quantum states extended over a large volume in phase space have oscillations from quantum interferences in their Wigner distribution on scales smaller than ℏ [W. H. Zurek, Nature (London) 412, 712 (2001)]. We investigate the influence of those sub-Planck-scale structures on the sensitivity to an external perturbation of the state’s time evolution. While we do find an accelerated decay of the Loschmidt Echo for an extended state in comparison to a localized wave packet, the acceleration is described entirely by the classical Lyapunov exponent and hence cannot originate from quantum interference.
AB - Quantum states extended over a large volume in phase space have oscillations from quantum interferences in their Wigner distribution on scales smaller than ℏ [W. H. Zurek, Nature (London) 412, 712 (2001)]. We investigate the influence of those sub-Planck-scale structures on the sensitivity to an external perturbation of the state’s time evolution. While we do find an accelerated decay of the Loschmidt Echo for an extended state in comparison to a localized wave packet, the acceleration is described entirely by the classical Lyapunov exponent and hence cannot originate from quantum interference.
UR - http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=ORCID&SrcApp=OrcidOrg&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=WOS:000178195500019&KeyUID=WOS:000178195500019
U2 - 10.1103/PhysRevLett.89.154103
DO - 10.1103/PhysRevLett.89.154103
M3 - Article
SN - 0031-9007
VL - 89
JO - Physical review letters
JF - Physical review letters
IS - 15
M1 - 154103
ER -