TY - JOUR
T1 - Loschmidt-echo decay from local boundary perturbations
AU - Goussev, Arseni
AU - Richter, Klaus
PY - 2007/1/9
Y1 - 2007/1/9
N2 - We investigate the sensitivity of the time evolution of semiclassical wave packets in two-dimensional chaotic billiards with respect to local perturbations of their boundaries. For this purpose, we address, analytically and numerically, the time decay of the Loschmidt echo (LE). We find the LE to decay exponentially in time, with the rate equal to the classical escape rate from an open billiard obtained from the original one by removing the perturbation-affected region of its boundary. Finally, we propose a principal scheme for the experimental observation of the LE decay.
AB - We investigate the sensitivity of the time evolution of semiclassical wave packets in two-dimensional chaotic billiards with respect to local perturbations of their boundaries. For this purpose, we address, analytically and numerically, the time decay of the Loschmidt echo (LE). We find the LE to decay exponentially in time, with the rate equal to the classical escape rate from an open billiard obtained from the original one by removing the perturbation-affected region of its boundary. Finally, we propose a principal scheme for the experimental observation of the LE decay.
UR - http://www.scopus.com/inward/record.url?scp=33846343936&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.75.015201
DO - 10.1103/PhysRevE.75.015201
M3 - Article
AN - SCOPUS:33846343936
SN - 1539-3755
VL - 75
JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
IS - 1
M1 - 015201(R)
ER -