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arXiv:1610.03203 · Nature Communications

Large Fizeau’s light-dragging effect in a moving electromagnetically induced transparent medium

Pei-Chen Kuan, Chang Cang Huang, Wei Sheng Chan, Sandoko Kosen, Shau-Yu Lan

Published Oct 3, 2016• 79 citations
arXivHTMLPDF

Abstract

As one of the most influential experiments on the development of modern macroscopic theory from Newtonian mechanics to Einstein's special theory of relativity, the phenomenon of light dragging in a moving medium has been discussed and observed extensively in different types of systems. To have a significant dragging effect, the long duration of light travelling in the medium is preferred. Here we demonstrate a light-dragging experiment in an electromagnetically induced transparent cold atomic ensemble and enhance the dragging effect by at least three orders of magnitude compared with the previous experiments. With a large enhancement of the dragging effect, we realize an atom-based velocimeter that has a sensitivity two orders of magnitude higher than the velocity width of the atomic medium used. Such a demonstration could pave the way for motional sensing using the collective state of atoms in a room temperature vapour cell or solid state material.

DOI
10.1038/ncomms13030

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As one of the most influential experiments on the development of modern macroscopic theory from Newtonian mechanics to Einstein's special theory of relativity, the phenomenon of light dragging in a moving medium has been discussed and observed extensively in different types of systems. To have a significant dragging effect, the long duration of light travelling in the medium is preferred. Here we demonstrate a light-dragging experiment in an electromagnetically induced transparent cold atomic ensemble and enhance the dragging effect by at least three orders of magnitude compared with the previous experiments. With a large enhancement of the dragging effect, we realize an atom-based velocimeter that has a sensitivity two orders of magnitude higher than the velocity width of the atomic medium used. Such a demonstration could pave the way for motional sensing using the collective state of atoms in a room temperature vapour cell or solid state material.
Measuring the motion of quantum particles has been playing a significant role in performing high precision inertial sensing and studying fundamental physics.While most of the motion sensing schemes with cold atoms are based on single-particles.In this thesis, a new measuring method of using a collective state of atoms for motion quantum sensing is introduced.Two experiments were demonstrated to investigate its feasibility.One is related to the light-dragging effect in an electromagnetically induced transparent (EIT) cold 85 Rb atomic ensemble.The dragging coefficient F d was enhanced to 1.67 × 10 5 , which was three orders of magnitude better than the previous experiments.With a large enhancement of the dragging effect, we realised an atom-based velocimeter that has a sensitivity of 1 mm/s, which was two orders of magnitude higher than the velocity width of the atomic medium used before.Such a demonstration could pave the way for motion sensing using the collective state of atoms in a room temperature vapour cell or solid-state material.Another experiment is related to the motion sensing in a driven periodic potential.The motion of the atomic ensemble undergoing Bloch oscillation was measured using the light dragging method.In order to have efficient Bloch oscillation of atoms, the first Raman sideband cooling of 85 Rb to pre-cool atomic ensemble close to the recoil temperature (357 nK) was achieved by us.The phase shift measurements showed the linear-like relation to the accelerating time with the data precision 0.00036 rad (0.005 ns, 0.7 mm/s), instead of the stepwise oscillation period τ B .To observe the stepwise motion, it is required to reduce the lattice field intensity and implement the velocity selection technique to select atoms with a narrow velocity width.
We have theoretically demonstrated an enhanced Fizeau effect due to dragging the light that occurs when the group velocity of light is ultraslow. The proposed experiment can be done in a cell of atomic Rb vapor under conditions such that the group velocity of light is of the order of a few hundred meters per second. We show theoretically that higher-order dispersion can influence the Fizeau effect and can be observed experimentally. It has been shown that the change of phase is sensitive to the motion of the cell with the speed of the order of ${10}^{\ensuremath{-}3}$ cm/s and for possible displacements as small as 10 \AA{}. The enhanced dragging effect can be applied for position control, detection of slow mechanical motion, and efficient modulators of light.
Fizeau experiment, inspiring Einstein's special theory of relativity, reveals a small dragging effect of light inside a moving medium. Dispersion can enhance such light drag according to Lorentz's predication. Here we experimentally demonstrate slow and fast light enhanced light drag in a moving optical microcavity through stimulated Brillouin scattering induced transparency and absorption. The strong dispersion provides an enhancement factor up to ~10^4, greatly reducing the system size down to the micrometer range. These results may offer a unique platform for a compact, integrated solution to motion sensing and ultrafast signal processing applications.
Abstract Fizeau’s experiment, inspiring Einstein’s special theory of relativity, reveals a small dragging effect acting on light inside a moving medium. Dispersion can enhance such light drag according to Lorentz’s predication. Here fast- and slow-light-enhanced light drag is demonstrated experimentally in a moving optical microcavity through stimulated Brillouin scattering induced transparency and absorption. The strong dispersion provides an enhancement factor up to ~104, greatly reducing the system size down to the micrometer range. These results may offer a unique platform for a compact, integrated solution to motion sensing and ultrafast signal processing applications.
The Fresnel-Fizeau effect of transverse drag, in which the trajectory of a light beam changes due to the transverse motion of the optical medium, is usually extremely small and hard to detect. We observe transverse drag in a moving hot-vapor cell, utilizing slow light due to electromagnetically induced transparency (EIT). The drag effect is enhanced by a factor 3.6 × 10 5 , corresponding to the ratio between the light speed in vacuum and the group velocity under EIT conditions. We study the contribution of the thermal atomic motion, which is much faster than the mean medium velocity, and identify the regime where its effect on the transverse drag is negligible.
Traditionally, measuring the center-of-mass (c.m.) velocity of an atomic ensemble relies on measuring the Doppler shift of the absorption spectrum of single atoms in the ensemble. Mapping out the velocity distribution of the ensemble is indispensable when determining the c.m. velocity using this technique. As a result, highly sensitive measurements require preparation of an ensemble with a narrow Doppler width. Here, we use a dispersive measurement of light passing through a moving room temperature atomic vapor cell to determine the velocity of the cell in a single shot with a short-term sensitivity of 5.5 μm s^{-1} Hz^{-1/2}. The dispersion of the medium is enhanced by creating quantum interference through an auxiliary transition for the probe light under electromagnetically induced transparency condition. In contrast to measurement of single atoms, this method is based on the collective motion of atoms and can sense the c.m. velocity of an ensemble without knowing its velocity distribution. Our results improve the previous measurements by 3 orders of magnitude and can be used to design a compact motional sensor based on thermal atoms.