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arXiv · 1409.2260

A Trotter-Kato Theorem for Quantum Markov Limits

Luc Bouten·Rolf Gohm·John Gough·Hendra Nurdin
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Abstract

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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Luc Bouten, Rolf Gohm, John Gough, Hendra Nurdin. 2015-05-03. A Trotter-Kato Theorem for Quantum Markov Limits. https://arxiv.org/abs/1409.2260

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