Reconstruction of Hamiltonians from given time evolutions

Details Reconstruction of Hamiltonians from given time evolutions Reconstruction of Hamiltonians from given time evolutions

2010-06-27

arxiv.org/abs/1006.5183v3

Physics

Quantum Physics

14 pages

Scientific paper

In this paper we propose a systematic method to solve the inverse dynamical problem for a quantum system governed by the von Neumann equation: to find a class of Hamiltonians reproducing a prescribed time evolution of a pure or mixed state of the system. Our approach exploits the equivalence between an action of the group of evolution operators over the state space and an adjoint action of the unitary group over Hermitian matrices. The method is illustrated by two examples involving a pure and a mixed state.

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