Realizing the dynamics of a non-Markovian quantum system by Markovian coupled oscillators: a Green’s function-based root locus approach. (English) Zbl 1333.81209
Summary: In this paper, we develop a Green’s function-based root locus approach to realizing a Lorentzian-noise-disturbed non-Markovian quantum system by Markovian coupled oscillators in an extended Hilbert space. By using a Green’s function-based root locus method, we design an ancillary oscillator for Markovian coupled oscillators to be a Lorentzian noise generator. Thus a principal oscillator coupled to the ancillary oscillator via a direct interaction can capture the dynamics of a Lorentzian-noise-disturbed non-Markovian quantum system. By matching the root locus in the frequency domain, conditions for the realization are obtained and a critical transition in the non-Markovian quantum system can also be observed in the Markovian coupled oscillators.
MSC:
| 81S22 | Open systems, reduced dynamics, master equations, decoherence |
| 35J08 | Green’s functions for elliptic equations |
Keywords:
non-Markovian open quantum systems; Markovian dynamics; Green’s function; root locus; critical transitionReferences:
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