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Open Quantum Systems Decoherence
Quantum Simulation
A Trotter-Kato Theorem for Quantum Markov Limits
arXiv
Authors: Luc Bouten, Rolf Gohm, John Gough, Hendra Nurdin
Year
2014
Paper ID
47656
Status
Preprint
Abstract Read
~2 min
Abstract Words
62
Citations
N/A
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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- This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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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.
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