基于腔光机械系统不可分辨边带极限的机械模压缩研究
发布时间：2019-03-31 11:20
【摘要】：近年来,腔光机械系统是量子信息处理任务中一个快速发展的领域,其主要研究的是光与机械振子通过辐射压力、光梯度力、光热力的相互作用现象。最初,研究腔光机械系统的目的是为了探测引力波,随着研究的深入,该系统逐渐被用来研究量子到经典的转变以及宏观物体中的量子相干现象。腔光机械系统中的许多研究也已经被实验上所证明,例如红边带冷却、相干态转移、正规模劈裂、宏观纠缠、光力诱导透明、机械振子压缩等。其中,宏观机械振子的压缩现象对宏观量子效应的研究以及弱力的精密测量至关重要。众所周知,在腔光机械系统中,光学腔的高品质因数与高的机械振子频率以及强的光机耦合强度是相互矛盾的。因此,如何在低品质因数的腔光机械系统中实现量子信息处理任务具有重大意义。本文在不可分辨边带极限下(κωm)研究腔光机械系统中宏观机械振子的稳态压缩效应。本文提出一个基于混合原子腔光机械系统的方案来对实现机械振子稳态压缩。方案中,光学腔的泄漏率远远大于机械振子的本征频率(κωm),原子系综的量子干涉作用有效地抑制了腔泄漏率对机械振子压缩结果的影响。利用机械振子内在的三阶非线性以及压缩变换表象中的振子基态冷却机制,最终实现对机械振子的稳态压缩。数值模拟结果表明:在系统参数选择适当时,可以得到机械振子稳态压缩。该结果同时也证明了本文计算的有效性以及方案的可行性。此外,在混合原子腔光机械系统方案中存在所需原子数目过大的问题,为了解决这一问题,本文又提出另一个双腔光机械系统。通过一个更为简洁明了的计算过程来理论介绍实现机械振子稳态压缩的原因。本方案利用振子的Duffing非线性以及机械振子基态冷却机制,进一步研究机械振子的压缩与系统参数之间的关系,结果证明在参数共振的情况下,可以实现机械振子的稳态压缩。最终通过数值模拟来验证计算分析的正确性以及方案的可行性。
[Abstract]:In recent years, cavity optical mechanical system is a rapidly developing field in quantum information processing task. Its main research is the interaction between light and mechanical oscillator through radiation pressure, light gradient force, and photothermal interaction. At first, the purpose of studying the cavity optical mechanical system is to detect gravitational waves. With the deepening of the research, the system has been used to study the quantum-to-classical transition and the quantum coherence phenomena in macro-objects. Many studies in cavity optical mechanical systems have been proved experimentally, such as red band cooling, coherent state transfer, positive-scale splitting, macro-entanglement, optical force-induced transparency, mechanical oscillator compression, and so on. Among them, the compression phenomenon of macroscopic mechanical oscillator is very important to the study of macroscopic quantum effect and the precise measurement of weak force. It is well known that in the cavity optical mechanical system, the high quality factor of the optical cavity is contradictory to the high frequency of the mechanical oscillator and the strong optical-mechanical coupling strength. Therefore, it is of great significance to realize quantum information processing in cavity optical mechanical systems with low quality factor. In this paper, the steady-state compression effect of macroscopic mechanical oscillator in cavity optical mechanical system is studied under the indiscernible sideband limit (魏 蠅 m). In this paper, a scheme based on hybrid atom cavity optical mechanical system is proposed to realize steady state compression of mechanical oscillator. In the scheme, the leakage rate of the optical cavity is much higher than the intrinsic frequency of the mechanical oscillator (kappa 蠅 m). The quantum interference of the atomic ensemble effectively inhibits the influence of the leakage rate of the cavity on the compression results of the mechanical oscillator. By using the third-order nonlinearity inherent in the mechanical oscillator and the cooling mechanism of the ground state of the vibrator in the compression transformation representation, the steady-state compression of the mechanical oscillator is finally realized. The numerical simulation results show that the steady state compression of the mechanical oscillator can be obtained when the system parameters are properly selected. The results also prove the validity of the calculation and the feasibility of the scheme. In addition, there is a problem that the number of atoms is too large in the scheme of hybrid cavity optical mechanical system. In order to solve this problem, another two-cavity optical mechanical system is proposed in this paper. The reason of steady state compression of mechanical oscillator is introduced theoretically through a more concise calculation process. In this scheme, the Duffing nonlinearity of the oscillator and the cooling mechanism of the ground state of the mechanical oscillator are used to further study the relationship between the compression of the mechanical oscillator and the system parameters. The results show that the steady state compression of the mechanical oscillator can be realized in the case of parametric resonance. Finally, the correctness of the calculation and analysis and the feasibility of the scheme are verified by numerical simulation.
【学位授予单位】：延边大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：O431.2
本文编号：2450853
[Abstract]:In recent years, cavity optical mechanical system is a rapidly developing field in quantum information processing task. Its main research is the interaction between light and mechanical oscillator through radiation pressure, light gradient force, and photothermal interaction. At first, the purpose of studying the cavity optical mechanical system is to detect gravitational waves. With the deepening of the research, the system has been used to study the quantum-to-classical transition and the quantum coherence phenomena in macro-objects. Many studies in cavity optical mechanical systems have been proved experimentally, such as red band cooling, coherent state transfer, positive-scale splitting, macro-entanglement, optical force-induced transparency, mechanical oscillator compression, and so on. Among them, the compression phenomenon of macroscopic mechanical oscillator is very important to the study of macroscopic quantum effect and the precise measurement of weak force. It is well known that in the cavity optical mechanical system, the high quality factor of the optical cavity is contradictory to the high frequency of the mechanical oscillator and the strong optical-mechanical coupling strength. Therefore, it is of great significance to realize quantum information processing in cavity optical mechanical systems with low quality factor. In this paper, the steady-state compression effect of macroscopic mechanical oscillator in cavity optical mechanical system is studied under the indiscernible sideband limit (魏 蠅 m). In this paper, a scheme based on hybrid atom cavity optical mechanical system is proposed to realize steady state compression of mechanical oscillator. In the scheme, the leakage rate of the optical cavity is much higher than the intrinsic frequency of the mechanical oscillator (kappa 蠅 m). The quantum interference of the atomic ensemble effectively inhibits the influence of the leakage rate of the cavity on the compression results of the mechanical oscillator. By using the third-order nonlinearity inherent in the mechanical oscillator and the cooling mechanism of the ground state of the vibrator in the compression transformation representation, the steady-state compression of the mechanical oscillator is finally realized. The numerical simulation results show that the steady state compression of the mechanical oscillator can be obtained when the system parameters are properly selected. The results also prove the validity of the calculation and the feasibility of the scheme. In addition, there is a problem that the number of atoms is too large in the scheme of hybrid cavity optical mechanical system. In order to solve this problem, another two-cavity optical mechanical system is proposed in this paper. The reason of steady state compression of mechanical oscillator is introduced theoretically through a more concise calculation process. In this scheme, the Duffing nonlinearity of the oscillator and the cooling mechanism of the ground state of the mechanical oscillator are used to further study the relationship between the compression of the mechanical oscillator and the system parameters. The results show that the steady state compression of the mechanical oscillator can be realized in the case of parametric resonance. Finally, the correctness of the calculation and analysis and the feasibility of the scheme are verified by numerical simulation.
【学位授予单位】：延边大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：O431.2
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