Time-series and network analysis in quantum dynamics: Comparison with
classical dynamics
- URL: http://arxiv.org/abs/2005.01264v1
- Date: Mon, 4 May 2020 04:34:54 GMT
- Title: Time-series and network analysis in quantum dynamics: Comparison with
classical dynamics
- Authors: Pradip Laha, S. Lakshmibala, and V. Balakrishnan
- Abstract summary: Time-series analysis and network analysis are now used extensively in diverse areas of science.
We apply these techniques to quantum dynamics in an optomechanical system.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Time-series analysis and network analysis are now used extensively in diverse
areas of science. In this paper, we applythese techniques to quantum dynamics
in an optomechanical system: specifically, the long-time dynamics of the mean
photon number in an archetypal tripartite quantum system comprising a
single-mode radiation field interacting with a two-level atom and an
oscillating membrane. We also investigate a classical system of interacting
Duffing oscillators which effectively mimics several of the features of
tripartite quantum-optical systems. In both cases, we examine the manner in
which the maximal Lyapunov exponent obtained from a detailed time-series
analysis varies with changes in an appropriate tunable parameter of the system.
Network analysis is employed in both the quantum and classical models to
identify suitable network quantifiers which will reflect these variations with
the system parameter. This is a novel approach towards (i) examining how a
considerably smaller data set (the network) obtained from a long time series of
dynamical variables captures important aspects of the underlying dynamics, and
(ii) identifying the differences between classical and quantum dynamics.
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