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Open Quantum Systems Decoherence
Wave packet evolution in non-Hermitian quantum systems
arXiv
Authors: Eva-Maria Graefe, Roman Schubert
Year
2010
Paper ID
10751
Status
Preprint
Abstract Read
~2 min
Abstract Words
80
Citations
N/A
Abstract
The quantum evolution of the Wigner function for Gaussian wave packets generated by a non-Hermitian Hamiltonian is investigated. In the semiclassical limit hbar→ 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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- This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
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- The quantum evolution of the Wigner function for Gaussian wave packets generated by a non-Hermitian Hamiltonian is investigated.
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