Wave-packet evolution in non-Hermitian quantum systems

@article{Graefe2011WavepacketEI,
  title={Wave-packet evolution in non-Hermitian quantum systems},
  author={Eva-Maria Graefe and Roman Schubert},
  journal={Physical Review A},
  year={2011},
  volume={83}
}
The quantum evolution of the Wigner function for Gaussian wave packets generated by a non-Hermitian Hamiltonian is investigated. In the semiclassical limit ({h_bar}/2{pi}){yields}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… 

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