【摘要】：近年來,腔光機械系統(tǒng)是量子信息處理任務(wù)中一個快速發(fā)展的領(lǐng)域,其主要研究的是光與機械振子通過輻射壓力、光梯度力、光熱力的相互作用現(xiàn)象。最初,研究腔光機械系統(tǒng)的目的是為了探測引力波,隨著研究的深入,該系統(tǒng)逐漸被用來研究量子到經(jīng)典的轉(zhuǎn)變以及宏觀物體中的量子相干現(xiàn)象。腔光機械系統(tǒng)中的許多研究也已經(jīng)被實驗上所證明,例如紅邊帶冷卻、相干態(tài)轉(zhuǎn)移、正規(guī)模劈裂、宏觀糾纏、光力誘導透明、機械振子壓縮等。其中,宏觀機械振子的壓縮現(xiàn)象對宏觀量子效應(yīng)的研究以及弱力的精密測量至關(guān)重要。眾所周知,在腔光機械系統(tǒng)中,光學腔的高品質(zhì)因數(shù)與高的機械振子頻率以及強的光機耦合強度是相互矛盾的。因此,如何在低品質(zhì)因數(shù)的腔光機械系統(tǒng)中實現(xiàn)量子信息處理任務(wù)具有重大意義。本文在不可分辨邊帶極限下(κωm)研究腔光機械系統(tǒng)中宏觀機械振子的穩(wěn)態(tài)壓縮效應(yīng)。本文提出一個基于混合原子腔光機械系統(tǒng)的方案來對實現(xiàn)機械振子穩(wěn)態(tài)壓縮。方案中,光學腔的泄漏率遠遠大于機械振子的本征頻率(κωm),原子系綜的量子干涉作用有效地抑制了腔泄漏率對機械振子壓縮結(jié)果的影響。利用機械振子內(nèi)在的三階非線性以及壓縮變換表象中的振子基態(tài)冷卻機制,最終實現(xiàn)對機械振子的穩(wěn)態(tài)壓縮。數(shù)值模擬結(jié)果表明:在系統(tǒng)參數(shù)選擇適當時,可以得到機械振子穩(wěn)態(tài)壓縮。該結(jié)果同時也證明了本文計算的有效性以及方案的可行性。此外,在混合原子腔光機械系統(tǒng)方案中存在所需原子數(shù)目過大的問題,為了解決這一問題,本文又提出另一個雙腔光機械系統(tǒng)。通過一個更為簡潔明了的計算過程來理論介紹實現(xiàn)機械振子穩(wěn)態(tài)壓縮的原因。本方案利用振子的Duffing非線性以及機械振子基態(tài)冷卻機制,進一步研究機械振子的壓縮與系統(tǒng)參數(shù)之間的關(guān)系,結(jié)果證明在參數(shù)共振的情況下,可以實現(xiàn)機械振子的穩(wěn)態(tài)壓縮。最終通過數(shù)值模擬來驗證計算分析的正確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.
【學位授予單位】：延邊大學
【學位級別】：碩士
【學位授予年份】：2017
【分類號】：O431.2

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本文編號：2450853