Wave packet evolution in non-Hermitian quantum systems

Details Wave packet evolution in non-Hermitian quantum systems Wave packet evolution in non-Hermitian quantum systems

2010-10-21

arxiv.org/abs/1010.4557v2

Phys. Rev. A 83, 060101(R) (2011)

Physics

Quantum Physics

Example added, references updated, 4 pages, 2 figures

Scientific paper

10.1103/PhysRevA.83.060101

The quantum evolution of the Wigner function for Gaussian wave packets generated by a non-Hermitian Hamiltonian is investigated. In the semiclassical limit $\hbar\to 0$ 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.

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