title: ÐÐ¾Ð³ÐµÑÐµÐ½ÑÐ½Ð¾Ðµ Ð²Ð·Ð°Ð¸Ð¼Ð¾Ð´ÐµÐ¹ÑÑÐ²Ð¸Ðµ ÑÐ²ÐµÑÐ° Ñ Ð¾Ð´Ð¸Ð½Ð¾ÑÐ½ÑÐ¼Ð¸ Ð°ÑÐ¾Ð¼Ð°Ð¼Ð¸ Ð¸ Ð°ÑÐ¾Ð¼Ð½ÑÐ¼Ð¸ Ð°Ð½ÑÐ°Ð¼Ð±Ð»ÑÐ¼Ð¸ Ð² ÑÑÐ»Ð¾Ð²Ð¸ÑÑ ÐºÐ²Ð°Ð½ÑÐ¾Ð²Ð¾Ð³Ð¾ Ð²ÑÑÐ¾Ð¶Ð´ÐµÐ½Ð¸Ñ
title: Ð½Ð°ÑÑÐ½ÑÐ¹ Ð´Ð¾ÐºÐ»Ð°Ð´
titleType: Subtitle
title: Coherent interaction of light with single atoms and atomic ensembles under conditions of quantum degeneracy
Creators: name: ÐÐ¾ÑÐ¾Ð·Ð¾Ð²Ð°, ÐÐ¸ÐºÑÐ¾ÑÐ¸Ñ
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2019
Subjects: ÑÐ°ÑÑÐµÑÐ½Ð¸Ðµ ÑÐ²ÐµÑÐ°
Ð¾Ð´Ð¸Ð½Ð¾ÑÐ½ÑÐ¹ ÑÐ¾ÑÐ¾Ð½
ÐºÐ¾Ð½Ð´ÐµÐ½ÑÐ°Ñ ÐÐ¾Ð·Ðµ-Ð­Ð¹Ð½ÑÑÐµÐ¹Ð½Ð°
Ð´Ð¸Ð°Ð³ÑÐ°Ð¼Ð¼Ñ Ð¤ÐµÐ¹Ð½Ð¼Ð°Ð½Ð°
Ð¿ÑÐ¾Ð¿Ð°ÑÐ°ÑÐ¾Ñ
Ð¢-Ð¼Ð°ÑÑÐ¸ÑÐ°
Ð¿Ð¾Ð»ÑÑÐ¸ÑÐ¾Ð½
ÐºÐ¾Ð³ÐµÑÐµÐ½ÑÐ½Ð¾Ðµ ÑÐ¾ÑÑÐ¾ÑÐ½Ð¸Ðµ
ÑÐ¾ÑÐ¾Ð½Ð½ÑÐ¹ ÐºÑÐ¸ÑÑÐ°Ð»Ð»
ÑÐ°Ð¼Ð°Ð½Ð¾Ð²ÑÐºÐ¸Ð¹ Ð¼ÐµÑÐ¾Ð´ Ð¾Ñ Ð»Ð°Ð¶Ð´ÐµÐ½Ð¸Ñ
Ð¾Ð´Ð¸Ð½Ð¾ÑÐ½ÑÐ¹ Ð°ÑÐ¾Ð¼
Ð¾Ð¿ÑÐ¸ÑÐµÑÐºÐ°Ñ Ð´Ð¸Ð¿Ð¾Ð»ÑÐ½Ð°Ñ Ð»Ð¾Ð²ÑÑÐºÐ°
Ð¾Ð¿ÑÐ¸ÑÐµÑÐºÐ¸Ð¹ Ð¿Ð¸Ð½ÑÐµÑ
Ð³ÐµÐ¾Ð¼ÐµÑÑÐ¸Ñ Ð¾Ð±Ð»ÑÑÐµÐ½Ð¸Ñ
ÑÑ ÐµÐ¼Ð° Ð¾Ð¿ÑÐ¸Ð¼Ð¸Ð·Ð°ÑÐ¸Ð¸
light scattering
single photon
Bose-Einstein condensate
Feynman diagram
polariton
propagator
matter waves interference
Raman sideband cooling
RSC protocol
single atom
cooling
optical dipole trap
optical tweezers
excitation geometry
optimization scheme

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description: We consider a quantum theory of elastic light scattering from a macroscopic atomic sample existing in the Bose-Einstein condensate (BEC) phase. Following the second quantized formalism and the Feynman diagram method we introduce a set of coupled and closed diagram equations for the polariton propagator contributing to the T-matrix and scattering amplitude. Elastic light scattering from a macroscopic atomic sample existing in the Bose-Einstein condensate phase reveals a unique physical configuration of interacting light and matter waves. The polariton dynamics could be tracked in the outgoing channel of the scattered photon as we show via numerical solution of the scattering equation for one-dimensional geometry. The formation of a periodic spatial structure caused by the interference of material waves is responsible for coherent resonance scattering similar to Bragg diffraction on regular spatial inhomogeneities. The interference of macroscopic material waves that is observed in experiments with a BoseâEinstein condensate forms a dielectric medium in the region of optical transparency of the sample that has the properties of a photonic crystal. We clarify the optimal conditions for the protocol of Raman sideband cooling (RSC) of a single atom confined with a tightly focused far-off-resonant optical dipole trap (optical tweezers). The protocol ultimately pursues cooling to a three-dimensional ground state of the confining potential. We show that the RSC protocol has to fulfill a set of critical requirements for the parameters of cooling beams and the excitation geometry to be effective in a most general three-dimensional configuration. We perform a numerical simulation of the Raman passage for an example of an 85Rb atom taking into account the full level structure and all possible transition channels.