The quantum evolution of the Wigner function for Gaussian wave packets generated by a non-Hermitian Hamiltonian is investigated. In the semiclassical limit (h) over bar -> 0 this yields the non-Hermitian analog of the Ehrenfest theorem for the dynamics of observable expectation values. The lack of Hermiticity reveals the importance of the complex structure on the classical phase space: The resulting equations of motion are coupled to an equation of motion for the phase-space metric-a phenomenon having no analog in Hermitian theories.
|Number of pages||4|
|Journal||Physical Review A: Atomic, Molecular and Optical Physics|
|Publication status||Published - 30 Jun 2011|