非线性光学腔中的相位调制光机械动力学

研究了Fabry-Perot光学腔中包含一个光学参量放大器来增强腔场与机械振子之间的耦合的光机械动力学行为.在解析边带机制下用量子郎之万方程具体研究了振子的涨落光谱、光学多稳态行为、机械阻尼与修正共振频移和基态冷却,通过数值解讨论了辐射压力诱导机械振子和腔场的稳态振幅所展现的光学多稳态行为,同时也分析了辐射压力引起的修...     

强耦合光机械腔中的简正模式分裂和冷却

研究由辐射压力与驱动Fabry-Perot光学腔相耦合而产生的腔光机械动力学行为. 通过量子朗之万方程具体研究了机械振子的涨落光谱、机械阻尼与共振频移和基态冷却. 随着输入激光功率的增加,振子的涨落光谱呈现简正模式分裂的现象,并且数值模拟结果和实验结果相符合. 同时推导了有效机械阻尼和共振频移. 红移边带导致了机械模的冷却,蓝移边带引起了机械模的放大. 此外,引入一种近似机制来研究振子的基态冷却,并且考虑在解析边带机制下简正模式分裂对机械振子冷却的影响. 最后,数值讨论了初始浴温度、输入激光功率和机械品质因数这三个因素对机械振子冷却的影响. 关键词： 腔光机械 辐射压力 简正模式分裂 冷却     

双光腔耦合下机械振子的基态冷却

机械振子的基态冷却是腔量子光力学中的基本问题之一.所谓的基态冷却就是让机械振子的稳态声子数小于1.本文通过光压涨落谱和稳态声子数研究双光腔光力系统(标准单光腔光力系统中引入第二个光腔,并与第一个光腔直接耦合)的基态冷却.首先得到系统的有效哈密顿量,然后给出朗之万方程和速率方程,最后分别给出空腔和原子腔的光压涨落谱、冷却率和稳态声子数.通过光压涨落谱、冷却率和稳态声子数表达式,重点讨论空腔时机械振子的基态冷却,发现当满足最佳参数条件(机械振子的冷却跃迁速率对应光压涨落谱的最大值,而加热跃迁速率对应光压涨落谱的最小值)时,机械振子可以被冷却到稳态声子数足够少.此外分析:当辅助腔内注入原子系综时,若参数选择恰当可能更利于基态冷却.     

双拉盖尔-高斯腔光力系统中的腔内压缩冷却研究

机械振子的冷却是腔光力学研究的重要方向之一。计算光力噪声谱和稳态的最终声子数,对基于耦合光学参量放大器（OPA）的双拉盖尔-高斯腔光力系统中的腔内压缩冷却问题进行研究。在弱耦合条件下,利用微扰近似理论方法得出系统的光力噪声谱,基于费米黄金法则的理论计算出稳态下的最终声子数的解析表达式。利用入射泵浦光驱动腔场内耦合的OPA,使腔场内形成强烈的非线性压缩效应,量子反作用加热过程得到有效抑制,系统净冷却率得到显著提高。此外,讨论了其他系统参数对机械振子冷却的影响。最后研究了系统的稳态声子数,声子数可以在较大参数范围内小于1。该方案能有效地降低机械振子的冷却极限。     

准光学相位共轭器

近年来出现的相位复共轭光学[1],对于实时适应光学、非线性激光光谱学、光学信息处理、光学成象、超低噪声探测、光开关、光计算机、干涉仪和激光腔等领域的研究具有重要意义. 光学相位复共轭可分为非线性光学相位共轭和准光学相位共轭[2].准相位共轭(PPC)与非线性相位共轭(NOPC)相比,具有许多引人注目的优点:(1)对受激布里渊散射(SBS),反射波相对于入射波有频移,由此将产生附加的位相差,但准相位共轭器不产生频移;(2)对简并四波混频(DFWM),则有以下几种情况:若介质为共振介质,则入射光波须工作在共振峰附近,由此就限制了工作光的波段…     

两模光机械系统中超冷原子的量子相变

Dicke模型(DM)用于描述单模玻色光场与多个全同二能级原子相互作用。本文利用自旋相干态变分法得到两模光机械系统中基态能量的精确解,并通过变分法求得相变点并画出基态相图,并在此基础上研究原子-场耦合强度等系统参数对基态稳定性的影响。通过稳定性讨论,我们发现:原子-光子耦合常数g和光子-声子耦合常量ζ都会对光机械系统的基态特性产生影响。当双模光腔变成单模光腔时,机械振子能诱导超辐射相的塌缩;而且当光子-声子耦合强度大时,超辐射相被完全压制,而直接出现两原子能级之间的转移;存在不稳定的非零光子态,类似于超辐射态。光机械腔中光子-声子耦合诱导的超辐射态的塌缩和复苏是不同于光腔内囚禁的BEC系统,即机械振子不存在时的情况,而双模光腔对量子相变点和相图预期也会有影响。可见,分析机械振子的对多稳性和相关的量子相变的影响是非常有意义的课题。     

具有非线性阻尼涨落的线性谐振子的随机共振

较之于线性噪声, 非线性噪声更广泛地存在于实际系统中, 但其研究远不能满足实际情况的需要. 针对作为非线性阻尼涨落噪声基本构成成分的二次阻尼涨落噪声, 本文考虑了周期信号与之共同作用下的线性谐振子, 关注这类具有基本意义的阻尼涨落噪声的非线性对系统共振行为的影响. 利用Shapiro-Loginov公式和Laplace变换推导了系统稳态响应振幅的解析表达式, 并分析了稳态响应振幅的共振行为, 且以数值仿真验证了理论分析的有效性. 研究发现: 系统稳态响应振幅关于非线性阻尼涨落噪声系数具有非单调依赖关系, 特别是非线性阻尼涨落噪声比线性阻尼涨落噪声更有助于增强系统对外部周期信号的响应程度; 而且, 非线性阻尼涨落噪声比线性阻尼涨落噪声使得稳态响应振幅关于噪声强度具有更为丰富的共振行为; 同时, 二次阻尼涨落噪声使得稳态响应振幅关于系统频率出现真正的共振现象; 而在这些现象和性质中, 非线性噪声项的非线性性质对共振行为起着关键的作用. 显然, 以二次阻尼涨落作为基本形式引入的非线性阻尼涨落噪声, 可以有助于提高微弱周期信号检测的灵敏度和实现对周期信号的频率估计.     

双腔光力系统中机械振子的基态冷却

宏观机械系统的量子操控无论是在基础物理学还是在高精度测量和量子信息处理等的应用上都非常重要。其中关键的一步是将机械系统冷却到它的量子基态。本文提出了一个光力系统,该系统包含了两个光学模式和一个与这两个光学模式都发生相互作用的机械模式。此外,这两个腔模还分别由两束光驱动。通过对哈密顿量进行变换以及求解系统的海森堡-郎之万方程,得到了机械振子最终平均声子数的表达式。结合作图发现,这个系统的特殊结构可以实现在不可分辨边带情况下机械振子的基态冷却,所以系统对腔的品质因子要求降低,实验上更容易实现。另外还发现,通过调节驱动光的功率可使得冷却效果达到最好。     

啁啾超短激光脉冲对稠密共振介质特性的调控

采用光与物质相互作用的半经典理论,建立了稠密二能级体系中含啁啾相位项的光学Bloch方程,并用高准确度、快速和可靠的四阶龙格-库塔法数值求解了该方程.通过数值计算,研究了啁啾超短激光脉冲与稠密共振二能级体系作用下的特性,得到了局域场和啁啾参量对Bloch矢量影响的规律.研究结果表明:局域场修正系数和啁啾参量对Bloch矢量的瞬态相干过程和稳态特性都会产生明显的调制作用,可以通过调节线性啁啾参量和局域场修正系数实现稳定的粒子数布居反转的调控.     

具有腔内光放大的单共振光参量振荡器

推导了描述稳态运行，具有腔内光放大的环形腔单共振光参量振荡器(ICOASRO)的功率特性的高斯光束理论.在这种结构的单共振光参量振荡器(SRO)中，适当地选择光放大器的参数，可以很大程度地降低单共振光参量振荡器的抽运阈值.在平均场近似下无二阶非线性交叉耦合作用的具有腔内光放大的环形腔单共振光参量振荡器的工作范围分成四个工作区域，且存在最小的单共振光参量振荡器的抽运阈值.文中的分析考虑了作为光放大器的激光增益介质的端面抽运特性，考虑了一般化单共振光参量振荡器的特性. 关键词： 单共振光参量振荡器 光放大 阈值     

Optical multistability and cooling of a micromechanical mirror induced by radiation pressure in optomechanical cavity

The radiation-pressure induces the movable mirror and the steady-state amplitude of the cavity field displaying an optical multistable behavior is investigated in detail by numerical evaluation in Fabry–Perot optical cavity. We introduce an approximation scheme to derive and analyze the final effective mean phonon number using linearized quantum Langevin equation to describe optomechanical cooling. Our results show that the movable mirror can be cooled close to its ground state with low initial temperature and high mechanical quality factor.     

Entanglement of movable mirror and cavity field enhanced by an optical parametric amplifier

A scheme to generate entanglement in a cavity optomechanical system filled with an optical parametric amplifier is proposed. With the help of the optical parametric amplifier, the stationary macroscopic entanglement between the movable mirror and the cavity field can be notably enhanced, and the entanglement increases when the parametric gain increases.Moreover, for a given parametric gain, the degree of entanglement of the cavity optomechanical system increases with increasing input laser power.     

Optomechanical coupling between two optical cavities: Cooling of a micro-mirror and parametric normal mode splitting

We propose a technique aimed at cooling a harmonically oscillating mirror mechanically coupled to another vibrating mirror to its quantum mechanical ground state. Our method involves optomechanical coupling between two optical cavities. We show that the cooling can be controlled by the mechanical coupling strength between the two movable mirrors, the phase difference between the mechanical modes of the two oscillating mirrors and the photon number in each cavity. We also show that both mechanical and optical cooling can be achieved by transferring energy from one cavity to the other. We also analyze the occurrence of normal-mode splitting (NMS). We find that a hybridization of the two oscillating mirrors with the fluctuations of the two driving optical fields occurs and leads to a splitting of the mechanical and optical fluctuation spectra.     

Normal Mode Splitting in a Cavity Optomechanical System with a Cubic Anharmonic Oscillator

The strong coupling between a macroscopic mechanical oscillator and a cavity field is essential for many quantum phenomena in a cavity optomechanical system. In this work, we discuss the normal mode splitting in a cavity optomechanical system with a cubic nonlinear movable mirror. We study how the mechanical nonlinearity affects the normal-mode splitting behavior of the movable mirror and the output field. We find that the mechanical nonlinearity can increase the peak separation in the spectra of the movable mirror and the output field. We also find that the heights and linewidths of the two peaks are very sensitive to the mechanical nonlinearity.

     

Normal mode splitting and ground state cooling in a Fabry-Perot optical cavity and transmission line resonator

Optomechanical dynamics in two systems which are a transmission line resonator and Fabrya-Perot optical cavity via radiation-pressure are investigated by linearized quantum Langevin equation. We work in the resolved sideband regime where the oscillator resonance frequency exceeds the cavity linewidth. Normal mode splittings of the mechanical resonator as a pure result of the coupling interaction in the two optomechanical systems is studied, and we make a comparison of normal mode splitting of mechanical resonator between the two systems. In the optical cavity, the normal mode splitting of the movable mirror approaches the latest experiment very well. In addition, an approximation scheme is introduced to demonstrate the ground state cooling, and we make a comparison of cooling between the two systems dominated by two key factors, which are the initial bath temperature and the mechanical quality factor. Since both the normal mode splitting and cooling require working in the resolved sideband regime, whether the normal mode splitting influences the cooling of the mirror is considered. Considering the size of the mechanical resonator and precooling the system, the mechanical resonator in the transmission line resonator system is easier to achieve the ground state cooling than in optical cavity.     

Weak-force sensing with squeezed optomechanics

We investigate quantum-squeezing-enhanced weak-force sensing via a nonlinear optomechanical resonator containing a movable mechanical mirror and an optical parametric amplifier(OPA). Herein, we determined that tuning the OPA parameters can considerably suppress quantum noise and substantially enhance force sensitivity, enabling the device to extensively surpass the standard quantum limit. This indicates that under realistic experimental conditions, we can achieve ultrahigh-precision quantum force sensing by harnessing nonlinear optomechanical devices.     

Irreversibility in an Optical Parametric Driven Optomechanical System

This study investigates the role of nonlinearity via optical parametric oscillator on the entropy production rate and quantum correlations in a hybrid optomechanical system. Specifically, the modified entropy production rate of an optical parametric oscillator placed in the optomechanical cavity is derived, which is well described by the two-mode Gaussian state. The irreversibility and quantum mutual information associated with the driving the system far from equilibrium are found to be controlled by the phase and strength of nonlinearity. This analysis shows that the system entropy flow, heating, or cooling, are determined by choosing the appropriate phase of the self-induced nonlinearity. It is further demonstrated that this effect persists for a reasonable range of cavity decay rate.     

Entanglement of Coupled Optomechanical Systems Improved by Optical Parametric Amplifiers

A scheme to generate the stationary entanglement of two distant coupled optical cavities placed optical parametric amplifiers is proposed. We study how the optical parametric amplifiers can affect the entanglement behaviors of the movable mirrors and the cavity fields. With the existence of optical parametric amplifiers, we show that larger stationary entanglement of optical and mechanical modes can be obtained and the entanglement increases with the increasing parametric gain. Especially, the degree of entanglement between the two cavity fields is more pronouncedly enhanced. Moreover, for a fixed parametric gain, the entanglement of distant cavity optomechanical systems increases as the input laser power is increased.     

Opto-Mechanical Effects in Superradiant Light Scattering by Bose-Einstein Condensate in an Optical Cavity

We investigate the effects of a movable mirror (cantilever) of an optical cavity on the superradiant light scattering from a Bose-Einstein condensate (BEC) in an optical lattice. We show that the mirror motion has a dynamic dispersive effect on the cavity-pump detuning. Varying the intensity of the pump beam, one can switch between the pure superradiant regime and the Bragg scattering regime. The mechanical frequency of the mirror strongly influences the time interval between two Bragg peaks. We find that when the system is in the resolved side band regime for mirror cooling, the superradiant scattering is enhanced due to coherent energy transfer from the mechanical mirror mode to the cavity field mode.