Photonic dephasing dynamics and role of initial correlations
- URL: http://arxiv.org/abs/2001.10803v1
- Date: Wed, 29 Jan 2020 13:17:15 GMT
- Title: Photonic dephasing dynamics and role of initial correlations
- Authors: Sina Hamedani Raja, K P Athulya, Anil Shaji, Jyrki Piilo
- Abstract summary: Dynamics of open quantum systems depends on different types of initial correlations.
We derive generic master equations for the reduced dephasing dynamics of the two-photon polarization state.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Dynamics of open quantum systems depends on different types of initial
correlations. On the one hand, when system and environment are both inherently
multipartite, initial correlations between the parties of the composite
environment make the dynamical map non-local, despite of local nature of the
interaction between each party of the system and the environment. On the other
hand, initial correlations between the open system and its environment prevents
one from defining a completely positive dynamical map. Recently, dephasing
dynamics of photons has been used in both of these frameworks - theoretically
and experimentally - to demonstrate some fundamental and applicable aspects of
open system dynamics and memory effects. However, the earlier studies in this
context are often based solely on the concept of decoherence functions.
Therefore, we still lack explicit master equation descriptions for dynamics
induced by correlated composite initial environmental states. Also, a detailed
understanding how initial system-environment correlations influence qubit
dynamics in the photonic context is missing. In this paper, we derive generic
master equations for the reduced dephasing dynamics of the two-photon
polarization state when the bipartite environmental frequency degrees of
freedom are initially correlated. We thereby show the explicit dependence of
the operator form and the decay rates of the master equation on the initial
frequency correlations and the influence of various types of frequency
distributions. Furthermore, we use recently developed bath positive
decomposition method to treat initially correlated polarization-frequency state
of a photon, and demonstrate how this allows new insight and detailed
information on how the contributions of different origin influence the photonic
dephasing.
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