A Trotter-Kato theorem for quantum Markov limits

A Trotter-Kato theorem for quantum Markov limits

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 c...

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Veröffentlicht in:EPJ quantum technology 2015-12, Vol.2 (1), p.1-15, Article 9
Hauptverfasser: Bouten, Luc, Gohm, Rolf, Gough, John, Nurdin, Hendra
Format: Artikel
Sprache:eng
Schlagworte:
Convergence
Coupling
Dynamics
Evolution
Graphs
Markov processes
Nanotechnology and Microengineering
Operators
Physics
Physics and Astronomy
Quantum Control
Quantum Information Technology
Quantum Physics
Spintronics
Theorems
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Zusammenfassung: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.
ISSN:2196-0763
2196-0763
DOI:10.1140/epjqt/s40507-015-0024-2