Reconstruction of Hamiltonians from given time evolutions

Antonino Messina, Bernatska

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1 Citazioni (Scopus)

Abstract

In this paper, we propose a systematic method to solve the inverse dynamical problem for afinite-level quantum system governed by the von Neumann equation: to find a class ofHamiltonians reproducing a prescribed time evolution of a pure or mixed state of the system.Our approach exploits the equivalence between the action of the group of evolution operatorsover the state space and the adjoint action of the unitary group over Hermitian matrices. Themethod is illustrated by two examples involving a pure and a mixed state.
Lingua originaleEnglish
pagine (da-a)015001-015008
Numero di pagine8
RivistaPhysica Scripta
Volume85
Stato di pubblicazionePublished - 2012

All Science Journal Classification (ASJC) codes

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  • ???subjectarea.asjc.2600.2610???
  • ???subjectarea.asjc.3100.3104???

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