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A Trotter-Kato Theorem for Quantum Markov Limits

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arxiv 1409.2260 v2 pith:UEOK7TDS submitted 2014-09-08 math-ph math.FAmath.MPmath.SPquant-ph

A Trotter-Kato Theorem for Quantum Markov Limits

classification math-ph math.FAmath.MPmath.SPquant-ph
keywords hamiltonianquantumconvergencedynamicsevolutionlimittheoremtrotter-kato
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Using the Trotter-Kato theorem we prove the convergence of the unitary dynamics generated by an increasingly singular Hamiltonian in the case of a single field coupling. The limit dynamics is a quantum stochastic evolution of Hudson-Parthasarathy type, and we establish in the process a graph limit convergence of the pre-limit Hamiltonian operators to the Chebotarev-Gregoratti-von Waldenfels Hamiltonian generating the quantum Ito evolution.

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