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Non-classical properties of the e.m. near field of an atom in spontaneous light emission

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 Added by Thomas Durt
 Publication date 2018
  fields Physics
and research's language is English




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We use Glaubers correlation function function as well as the Green functions formalism to investigate, in the case of a dipolar atomic transition, the causal behaviour of the spontaneously emitted electromagnetic field. We also examine the role played by the longitudinal electric field, which is not described in terms of photonic (transverse) degrees of freedom. We predict the existence of a genuinely quantum memory effect at the level of the near field surrounding the atom, which keeps track of the past excitation and emission by the atom.

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In this paper, we report on numerical calculations of the spontaneous emission rates and Lamb shifts of a $^{87}text{Rb}$ atom in a Rydberg-excited state $left(nleq30right)$ located close to a silica optical nanofiber. We investigate how these quantities depend on the fibers radius, the distance of the atom to the fiber, the direction of the atomic angular momentum polarization as well as the different atomic quantum numbers. We also study the contribution of quadrupolar transitions, which may be substantial for highly polarizable Rydberg states. Our calculations are performed in the macroscopic quantum electrodynamics formalism, based on the dyadic Greens function method. This allows us to take dispersive and absorptive characteristics of silica into account; this is of major importance since Rydberg atoms emit along many different transitions whose frequencies cover a wide range of the electromagnetic spectrum. Our work is an important initial step towards building a Rydberg atom-nanofiber interface for quantum optics and quantum information purposes.
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We study the spontaneous emission (SE) of an excited two-level nonrelativistic system (TLS) interacting with the vacuum in a waveguide of rectangular cross section. All TLSs transitions and the center-of-mass motion of the TLS are taken into account. The SE rate and the carried frequency of the emitted photon for the TLS initial being at rest is obtained, it is found in the first order of the center of mass (c.m.) that the frequency of the emitted photon could be smaller or larger than the transition frequency of the TLS but the SE rate is smaller than the SE rate $Gamma_{f}$ of the TLS fixed in the same waveguide. The SE rate and the carried frequency of the emitted photon for the TLS initial being moving is also obtained in the first order of the c.m.. The SE rate is larger than $Gamma_{f}$ but it is independent of the initial momentum. The carried frequency of the emitted photon is creased when it travels along the direction of the initial momentum and is decreased when it travels in the opposite direction of the initial momentum.
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