Eigenvalue problem of the Liouvillian of open quantum systems

Journal Article · Tue Mar 10 00:00:00 EDT 2015 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.4912483· OSTI ID:22391057

Hatano, Naomichi ^[1]; Petrosky, Tomio ^[2]

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1. Institute of Industrial Science, University of Tokyo, 4-6-1 Komaba, Meguro, Tokyo 153-8505 (Japan)
2. Center for Complex Quantum Systems, Department of Physics, University of Texas at Austin, 2515 Speedway, Stop C1609, RLM 7.220, Austin, Texas 78712 (United States)

It is argued that the Liouvillian that appears in the Liouville-von Neumann equation for open quantum systems can have complex eigenvalues. Attention is paid to the question whether the Liouvillian has an eigenvalue that are not given by the difference of the two Hamiltonian eigenvalues.

• OSTI ID: 22391057
• Journal Information: AIP Conference Proceedings, Vol. 1648, Issue 1; Conference: ICNAAM-2014: International Conference on Numerical Analysis and Applied Mathematics 2014, Rhodes (Greece), 22-28 Sep 2014; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BOLTZMANN-VLASOV EQUATION
EIGENVALUES
HAMILTONIANS
QUANTUM MECHANICS
QUANTUM SYSTEMS