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 Itō evolution.
Original languageEnglish
Article number9
Number of pages15
JournalEPJ Quantum Technology
Volume2
Issue number1
Early online date30 Apr 2015
DOIs
Publication statusPublished - 30 Apr 2015

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