High contrast atomic magnetometer based on coherent population trapping

We present an experimental and theoretical investigation of the coherent population trapping （CPT） resonance excited on the D1 line of 87Rb atoms by bichromatic linearly polarized laser light. The experimental results show that a lin｜｜lin tran- sition scheme is a promising alternative to the conventional circular-circular transition scheme for an atomic magnetometer. Compared with the circular light transition scheme, linear light accounts for high-contrast transmission resonances, which makes this excitation scheme promising for high-sensitivity magnetometers. We also use linear light and circular light to detect changes of a standard magnetic field, separately.     

Atomic clocks based on coherent population trapping: a review

The paper gives an overview of the use of the coherent population trapping phenomenon (CPT) in alkali-metal atoms in the implementation of atomic frequency standards. Several avenues are examined. These include: the approach using a combination of the CPT phenomenon and the Ramsey separated interaction field technique on an atomic beam; the passive approach in a cell in which the microwave hyperfine resonance excited by the CPT phenomenon is detected directly on the transmitted radiation; the maser approach in which the same resonance is observed by means of stimulated emission in a microwave cavity-cell arrangement; and, finally, the proposed approach using pulses in a time sequence that implements the combined CPT–Ramsey separated interaction field technique in time rather than in space. A review of field and laboratory implementations using these approaches is made.     

铯原子气室中相干布居俘获的参数依赖关系研究

基于铯原子基态6S_1/2的两个超精细能级（F=3与F=4）与激发态6P_3/2的超精细能级（F′=4）构成的Λ型三能级系统,采用室温下的未充缓冲气体和充有分压为266.6 Pa的氖气作为缓冲气体的铯原子气室对于相干布居俘获（CPT）的参数依赖关系进行了实验研究和理论分析.主要研究了CPT信号的半高全宽和幅度对于频率差为铯原子基态6S_1/2的超精细分裂（9.19263177 GHz）且位相锁定的两激光束的功率、光强比值、光斑直径、磁屏蔽之后的剩余磁场以及是否充缓冲气体等实验参数的依赖关系.在优化的实验参数条件下获得了约340 Hz的CPT信号半高全宽.     

Subkilohertz linewidths measured by heterodyne-detected coherent population trapping in sodium vapor

Subkilohertz spectroscopy by coherent population trapping (CPT) has been performed in Na atomic vapor. The system employs a frequency-swept acousto-optic modulator for bichromatic excitation as well as a heterodyne-lock-in detection technique that permits the direct measurement of the CPT dispersion curves at a good signal-to-noise ratio. A CPT linewidth of -400 Hz was measured as well as a steep refractive-index dispersion of as much as 3.3 x 10(-10) Hz(-1), corresponding to a group velocity of 1800 m/s.     

Optical frequency standard based on coherent population trapping resonance

We propose a new optical frequency standard, based on a coherent population trapping resonance. Such standard is a self-mode locking laser, pulse repetition frequency of which is directly locked to microwave clock-transition—the transition between the hyperfine ground state components of alkali atom. The unique properties of this standard result in reduction of the light shift which is the main reason limiting frequency stability of this standard.     

Terahertz frequency standard based on three-photon coherent population trapping

A scheme for a terahertz frequency standard based on three-photon coherent population trapping in stored ions is proposed. Assuming the propagation directions of the three lasers obey the phase matching condition, we show that stability of few 10(-14) at 1 s can be reached with a precision limited by power broadening to 10(-11) in the less favorable case. The referenced terahertz signal can be propagated over long distances, the useful information being carried by the relative frequency of the three optical photons.     

基于相干粒子数囚禁的电磁诱导光栅研究

基于相干布居囚禁,提出了一种新的电磁诱导光栅物理模型, 得到了该模型下介质极化率的解析表达式. 由于相干布居囚禁引入的原子相干性, 介质极化率会形成增益、无吸收高折射率点以及暗态三个区域. 根据该理论模型, 基于⁸⁷Rb的原子能级, 提出了一种新型衍射光栅实现方案, 并进行了分析与计算. 结果表明, 在无吸收高折射率点处, 这种光栅是一种纯相位光栅, 一级衍射强度可达到0.4; 在增益区域中, 发现这种光栅是相位光栅和幅度光栅组合而成的混合型光栅, 在其最大增益点, 一级衍射效率最大可达1.26, 二级衍射效率也可增加到0.31. 关键词： 相干粒子数囚禁 电磁诱导光栅 衍射效率     

High-performance coherent population trapping clock based on laser-cooled atoms

We present a coherent population trapping clock system based on laser-cooled $^{87}$Rb atoms. The clock consists of a frequency-stabilized CPT interrogation laser and a cooling laser as well as a compact magneto-optical trap, a high-performance microwave synthesizer, and a signal detection system. The resonance signal in the continuous wave regime exhibits an absorption contrast of $sim 50$%. In the Ramsey interrogation method, the linewidth of the central fringe is 31.25 Hz. The system achieves fractional frequency stability of ${2.4times }{{10}}^{{-11}}/sqrt tau $, which goes down to ${1.8times }{{10}}^{{-13}}$ at 20000 s. The results validate that cold atom interrogation can improve the long-term frequency stability of coherent population trapping clocks and holds the potential for developing compact/miniature cold atoms clocks.     

Review of chip-scale atomic clocks based on coherent population trapping

Research on chip-scale atomic clocks （CSACs） based on coherent population trapping （CPT） is reviewed. The back- ground and the inspiration for the research are described, including the important schemes proposed to improve the CPT signal quality, the selection of atoms and buffer gases, and the development of micro-cell fabrication. With regard to the re- liability, stability, and service life of the CSACs, the research regarding the sensitivity of the CPT resonance to temperature and laser power changes is also reviewed, as well as the CPT resonance＇s collision and light of frequency shifts. The first generation CSACs have already been developed but its characters are still far from our expectations. Our conclusion is that miniaturization and power reduction are the most important aspects calling for further research.     

Distortion-free gain and noise correlation in sodium vapor with four-wave mixing and coherent population trapping

We observed optical gain as great as 30 with nearly distortion-free beam propagation in optically dense sodium vapor, using four-wave mixing. Moreover, 15-dB classical noise correlations were seen in the amplified probe and conjugate beams. To achieve this performance in such a strongly absorbing medium, one must suppress unwanted absorption and self-focusing effects. This is accomplished with coherent population trapping.     

Image transfer through coherent population trapping based on an atomic ensemble

We report on an experiment on transferring an image through coherent population trapping(CPT) effect in a hot rubidium vapor. We demonstrate experimentally that an image can be transferred from a control light to a probe light.Moreover, we describe the demonstration that the image can be transferred from a control light to two different probes showing a feasibility of transferring an image onto multiple probes. We believe that this effect definitely has important applications in image metrology, high dimensional information transfer in quantum information field, etc.     

Characterizing passive coherent population trapping resonance in a cesium vapor cell filled with neon buffer gas

We present a pair of phase-locked lasers with a 9.2-GHz frequency difference through the injection locking of a master laser to the RF-modulation sideband of a slave diode laser. Using this laser system, a coherent population trapping (CPT) signal with a typical linewidth of ～ 182 Hz is obtained in a cesium vapor cell filled with 30 Torr (4kPa) of neon as the buffer gas. We investigate the influence of the partial pressure of the neon buffer gas on the CPT linewidth, amplitude, and frequency shift. The results may offer some references for CPT atomic clocks and CPT atomic magnetometers.     

Atomic magnetometer based on a double-dark-state system

We propose an atomic magnetometer based on time-domain interferometry with a double-dark-state system created in ultracold atoms. We show that the occupation difference of the two dark states varies sensitively with magnetic fields and measurement time, and the expected sensitivity of the magnetometer is mainly limited by the sensitivity of the occupation difference measurement.     

Temperature dependence of coherent population trapping resonances

We measure the properties of coherent population trapping (CPT) resonances in Cs vapor cells as a function of temperature. We expected the CPT signal to increase with higher vapor density, but instead the signal fades away above a certain density. Two possible density-dependent explanations are discussed: spin-exchange collisions, which are found to give no relevant contribution at the temperatures considered here, and increased absorption due to the optical thickness of the vapor. The dependence of the dark-line resonance amplitude as a function of cell temperature can be well represented by a simple model based on the optical thickness of the vapor as a function of temperature. Received: 30 November 2001 / Published online: 7 February 2002     

Coherent population trapping magnetometer by differential detecting magneto–optic rotation effect

A pocket coherent population trapping(CPT) atomic magnetometer scheme that uses a vertical cavity surface emitting laser as a light source is proposed and experimentally investigated.Using the differential detecting magneto–optic rotation effect,a CPT spectrum with the background canceled and a high signal-to-noise ratio is obtained.The experimental results reveal that the sensitivity of the proposed scheme can be improved by half an order,and the ability to detect weak magnetic fields is extended one-fold.Therefore,the proposed scheme is suited to realize a pocket-size CPT magnetometer.     

V型原子系统中相干布居俘获的相干相位调制研究

在延迟脉冲激光场作用下的V型原子系统中，实现了对相干布居俘获，电磁感应透明的相干相位调制，选择适当的能级其调制频率可以达到飞秒量级.利用数值和解析分析得到了延迟脉冲和叠加态粒子数布居的关系，以及粒子布居受光场相位调制的特点和变化规律.利用这种机理可以实现飞秒量级的量子开关作用. 关键词： 相干相位调制 相干布居俘获 电磁感应透明 量子开关     

Phase-controlled coherent population trapping in superconducting quantum circuits

We investigate the influences of the-applied-field phases and amplitudes on the coherent population trapping behavior in superconducting quantum circuits. Based on the interactions of the microwave fields with a single ?-type three-level fluxonium qubit, the coherent population trapping could be obtainable and it is very sensitive to the relative phase and amplitudes of the applied fields. When the relative phase is tuned to 0 or π, the maximal atomic coherence is present and coherent population trapping occurs. While for the choice of π /2, the atomic coherence becomes weak. Meanwhile, for the fixed relative phase π /2, the value of coherence would decrease with the increase of Rabi frequency of the external field coupled with two lower levels. The responsible physical mechanism is quantum interference induced by the control fields,which is indicated in the dressed-state representation. The microwave coherent phenomenon is present in our scheme,which will have potential applications in optical communication and nonlinear optics in solid-state devices.     

Nonperturbative coherent population trapping: an analytic model

Coherent population trapping is shown to occur in a driven symmetric double-well potential in the strong-field regime. The system parameters have been chosen to reproduce the 0(-) <--> 3(+) transition of the inversion mode of the ammonia molecule. For a molecule initially prepared in its lower doublet we find that, under certain circumstances, the 3(+) level remains unpopulated, and this occurs in spite of the fact that the laser field is resonant with the 0(-) <--> 3(+) transition and intense enough so as to strongly mix the 0(+) and 0(-) ground states. This counterintuitive result constitutes a coherent population trapping phenomenon of nonperturbative origin which cannot be accounted for with the usual models.     

Influence of the dipole-dipole interaction on velocity-selective coherent population trapping

We analyze the influence of the dipole-dipole interaction between ground and excited state atoms on atomic cooling by velocity-selective coherent population trapping. We consider two three-level atoms in the -configuration, interacting with two counterpropagating laser fields as well as with the electromagnetic vacuum modes. The elimination of these modes in the Born-Markov approximation results in spontaneous decay, which is essential in providing the momentum diffusion necessary for cooling, as well as a two-body dipole-dipole interaction between ground-and excited-state atoms. The corresponding two-body master equation is solved numerically by Monte-Carlo wave-function simulations. Our main result is that although a dark state survives the inclusion of dipole-dipole interactions, the presence of this interaction can significantly slow down the cooling process for sufficiently high atomic densities.Dedicated to H. Walther on the occasion of his 60th birthdayStrictly speaking, VSCPT is not a true cooling mechanism. The final atomic distribution cannot be characterized by a temperature, so that there is some ambiguity in characterizing the cooling efficiency. We return to this point in Sect. 3