Publication: Hamiltonians generating optimal-speed evolutions
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Publication Date
2009
Language
English
Type
Journal Article
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Abstract
We present a simple derivation of the formula for the Hamiltonian operator(s) that achieve the fastest possible unitary evolution between given initial and final states. We discuss how this formula is modified in pseudo-Hermitian quantum mechanics and provide an explicit expression for the most general optimal-speed quasi-Hermitian Hamiltonian. Our approach allows for an explicit description of the metric (inner product) dependence of the lower bound on the travel time and the universality (metric independence) of the upper bound on the speed of unitary evolutions.
Description
Source:
Physical Review A
Publisher:
American Physical Society (APS)
Keywords:
Subject
Optics, Physics