Exact and semiclassical Husimi distributions of Quantum Map Eigenstates

Abstract

The projector onto single quantum map eigenstates is written only in terms of powers of the evolution operator, up to half the Heisenberg time, and its traces. These powers are semiclassically approximated, by a complex generating function, giving the Husimi distribution of the eigenstates. The results are tested on the Cat and Baker maps.Comment: 10 pages, 6 figure