| Autor: |
Günther, U., Samsonov, B. |
| Jazyk: |
angličtina |
| Rok vydání: |
2008 |
| Předmět: |
|
| Zdroj: |
Physical Review A 78(2008), 042115 |
| Popis: |
The PT-symmetric (PTS) quantum brachistochrone problem is re-analyzed as a composite quantum system consisting of a non-Hermitian PTS component and a purely Hermitian component simultaneously. A general approach is proposed for the construction of partially PTS systems which are not reducible to purely Hermitian ones. A natural ingredient of these systems are non-unitary operator equivalence classes (conjugacy orbits) with at least one Hermitian representative. With the help of a geometric analysis the compatibility of the vanishing passage time solution of a PTS brachistochrone with the Anandan-Aharonov lower bound for passage times of Hermitian brachistochrones is demonstrated. Via embedding of the PTS Hamiltonian into a Dirac Hamiltonian the vanishing passage time solution is related to an ultra-relativistic regime. |
| Databáze: |
OpenAIRE |
| Externí odkaz: |
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