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 −3 cm/s and for possible displacements as small as 10Å. The enhanced dragging effect can be applied for position control, detection of slow mechanical motion, and efficient modulators of light.
In this article, we present an application of the optomechanical cavities for absolute rotation detection. Two optomechanical cavities, one in each arm, are placed in a Michelson interferometer. The interferometer is placed on a rotating table and is moved with a uniform velocity ofȳ with respect to the rotating table. The Coriolis force acting on the interferometer changes the length of the optomechanical cavity in one arm, while the length of the optomechanical cavity in the other arm is not changed. The phase shift corresponding to the change in the optomechanical cavity length is measured at the interferometer output to estimate the angular velocity of the absolute rotation. An analytic expression for the minimum detectable rotation rate corresponding to the standard quantum limit of measurable Coriolis force in the interferometer is derived. Squeezing technique is discussed to improve the rotation detection sensitivity by a factor of g w m m at 0 K temperature, where g m and w m are the damping rate and angular frequency of the mechanical oscillator. The temperature dependence of the rotation detection sensitivity is studied.
We propose an application of two-dimensional optomechanical oscillator as a gyroscope by detecting the Coriolis force which is modulated at the natural frequency of the optomechanical oscillator. Dependence of gyroscopeʼs sensitivity on shot noise, back-action noise, thermal noise, and input laser power is studied. At optimal input laser power, the gyroscopeʼs sensitivity can be improved by increasing the mass or by decreasing the temperature and decay rate of the mechanical oscillator. When the mechanical oscillatorʼs thermal occupation number, n th , is zero, sensitivity improves with decrease in frequency of the mechanical oscillator. For n 1 th , the sensitivity is independent of the mechanical oscillatorʼs frequency.
In this article, we describe controlling the optomechanically induced transparency (OMIT) phenomena through rotation. An optomechanical cavity, which is coupled to a weak probe field and to a strong drive field, is placed along the diameter of a rotating table. When the table rotates, the centrifugal force due to rotation changes the length of the optomechanical cavity because of which the transparency window in OMIT disappears. We further point out that OMIT can be recovered by shifting both the drive and probe frequencies simultaneously. We derived an analytic parameter to estimate the minimum angular velocity that can effect OMIT for a given optomechanical cavity. In other words, we describe turning on and turning off OMIT by controlling the rotation rate.
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