6533b82efe1ef96bd1293e1e
RESEARCH PRODUCT
Reconstruction of Hamiltonians from given time evolutions
Antonino MessinaJulia Bernatskasubject
Quantum PhysicsGroup (mathematics)Time evolutionFOS: Physical sciencesState (functional analysis)Group Theory (math.GR)Condensed Matter PhysicsHermitian matrixAtomic and Molecular Physics and OpticsAction (physics)Invers problems time dependent hamiltonian22E70 81R05 93B15Unitary groupQuantum systemFOS: MathematicsState spaceApplied mathematicsQuantum Physics (quant-ph)Mathematics - Group TheoryMathematical PhysicsMathematicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2010-06-27 |