The Stationary Optomechanical Entanglement Between an Optical Cavity Field and a Cubic Anharmonic Oscillator

International Journal of Theoretical Physics - Currently, the creation of the quantum entanglement is still one of the most challenging goals. Here, we theoretically investigate the stationary...     

Strong Squeezing of Duffing Oscillator in a Highly Dissipative Optomechanical Cavity System

In the conventional scheme of generating strong mechanical squeezing by the joint effect between mechanical parametric amplification and sideband cooling, the resolved sideband condition is required so as to overcome the quantum backaction heating. In the unresolved sideband regime, to suppress the quantum backaction, a χ⁽²⁾ nonlinear medium is introduced to the cavity. The result shows that the quantum backaction heating effect caused by unwanted counter-rotating term can be completely removed. Hence, the strong mechanical squeezing can be obtained even for the system far from the resolved-sideband regime.     

Entangling Cavity Modes in a Double-Cavity Optomechanical System

We study entanglement of the cavity modes in a double-cavity optomechanical system in strong-coupling regime. The system is consist of two optomechanical systems coupled by a single photon hopping between them. With the radiation pressure of the photon, entanglement of the cavity modes can be generated. The average concurrence of the cavity modes is at least twice larger than that of the mechanical modes. Moreover, when we change the ratio between coupling strength and resonant frequency of mechanical modes, the entanglement in cavity and mechanical modes are influenced differently.     

Kerr-Like Nonlinearities in an Optomechanical System with an Asymmetric Anharmonic Mechanical Resonator

JETP Letters - In the framework of the nonsecular perturbation theory based on the Bogoliubov averaging method, an optomechanical system with an asymmetric anharmonic mechanical resonator is...     

Multiphonon Bundle Emission in a Strong-Coupling Cavity Optomechanical System

Nonclassical effects in mesoscopic systems have attracted much attention recently. In this paper, it is shown that multiphonon bundle emission can be observed in a strong-coupling cavity optomechanical system. Theoretical analysis shows that when the driving field is adjusted to nth-order sideband excitation, the coupling between the cavity mode and the vibrational mode leads to super-Rabi oscillations, and finally results in an n-phonon bundles emission. Based on the current technology, this process can work in a wide range of parameters. Numerical simulation confirms the validity of the derivation. It is thought that this physical mechanism broadens the applications of cavity optomechanical system in realm of quantum phononics, such as in quantum metrology and phonon laser.     

混合腔光力系统的双光子散射

混合腔光力系统同时包含一次和二次光力相互作用。本文研究了混合腔光力系统中的双光子散射问题。在Wigner-Weisskopf框架下,通过求解散射过程,获得了混合腔光力系统散射态的解析表达式,揭示了双光子散射的4个物理过程：1)双光子均被直接反射,不进入腔中;2)一个光子被直接反射,另一个光子入射进腔中;3)两个光子按次序先后入射进腔中,但腔中最多只有一个光子;4)两个光子均入射进腔中。通过分析双光子散射谱,发现在该散射过程中可以产生双光子频率反关联,并且发现了混合腔光力系统中的参数与双光子散射谱特性之间的联系。该研究不仅提供了一种产生关联光子对的散射方法,而且提出了一种表征光力系统参数的光谱方法。     

Bistability and Entanglement of a Two-Mode Cavity Optomechanical System

We investigate the bistable properties and the entanglement in a two-mode cavity optomechanical system. Our results show that the bistable regime in terms of pumping amplitude can be adjusted by tuning the detunning. Although the two modes of the cavity interact with the same mechanical mode, there is no entanglement between them, while the two modes entangle with the mechanical mode seperately.     

Exact Solutions of the Klein-Gordon Equation with a New Anharmonic Oscillator Potential

We solve the Klein-Cordon equation with a new anharmonic oscillator potential and present the exact solutions. It is shown that under the condition of equal scalar and vector potentials, the Klein-Cordon equation could be separated into an angular equation and a radial equation. The angular solutions are the associated-Legendre polynomial and the radial solutions are expressed in terms of the confluent hypergeometric functions. Finally, the energy equation is obtained from the boundary condition satisfied by the radial wavefunctions.     

猫眼腔激光器的横模变换与频率分裂

为了产生多种激光横模,以前的系统相对比较复杂,而且一般只能产生基横模和低阶横模,很难产生高阶横模,同时也很难观察到模竞争中一个频率抑制另一个频率的变化过程。基于猫眼谐振腔激光器和频率分裂技术,提出了一种新型的激光原理综合实验系统。该系统利用猫眼逆向器作为He-Ne激光器的一个腔镜,通过调节猫眼逆向器中两镜片间距可输出包括基横模、低阶横模、高阶横模在内的十余种典型横模,并可完成纵模、偏振、出光带宽等多种激光基本特性的实验。同时在基横模状态下,利用谐振腔内加入的石英晶体片可实现激光频率分裂及其频差调节。在此基础上又可实现完整的模竞争过程的观察。     

Ergodic Properties and Thermodynamics in Anharmonic Oscillator Systems

Ergodic properties of anharmonic oscillator systems with only a few degrees of freedom are both theoretically and numerically investigated. Statistical mechanics and thermodynamics of ergodic Hamiltonian systems are built. The Henon-Heiles systems with reflecting walls and the diamagnetic Kepler problem are studied     

Generation of Schrödinger Cat States in a Hybrid Cavity Optomechanical System

We present an alternative scheme to achieve Schrödinger cat states in a strong coupling hybrid cavity optomechanical system. Under the single-photon strong-coupling regime, the interaction between the atom–cavity–oscillator system can induce the mesoscopic mechanical oscillator to Schrödinger cat states. Comparing to previous schemes, the proposed proposal consider the second order approximation on the Lamb–Dicke parameter, which is more universal in the experiment. Numerical simulations confirm the validity of our derivation.     

Effective Quantum Oscillator of a Cavity with Oscillating Parameters

Journal of Experimental and Theoretical Physics - We introduce the concept of an effective quantum oscillator and determine the correction of the ground-state energy, which is responsible for an...     

Generating a Squeezed‐Coherent‐Cat State in a Double‐Cavity Optomechanical System

A squeezed‐coherent‐cat state (SCCS) in a mechanical system not only plays an important role for macroscopic quantum coherence, but also can be a carrier for quantum information. A scheme to generate a SCCS in a two‐mode optomechanical system is proposed, in which the modulated hopping interaction of two cavities is introduced. The two cavity modes couple with the same mechanical mode with linear and quadratic interaction, respectively. The SCCS is analytically deduced under an appropriate initial state, and the average phonon number and the parameter of squeeze are numerically calculated. Wigner function shown the properties of superposition and squeezing is plotted. Including the dissipation of the environment, the results show that a high quality mechanical resonator and a low noise environment are required to obtain high fidelity.     

Probe Response of an Optomechanical System with Optomechanical Coupling Modulated Periodically

In this study, the probe response of a cavity optomechanical system with periodic modulation of the optomechanical coupling is investigated. The modulation arises from the beat effect between two external coherent driving lights, with the beat frequency matching the modulation frequency. The transmission coefficient is derived for the probe field and significant amplification, rather than absorption in the conventional optomechanically induced transparency schemes, is observed near the transparent point when the modulation is introduced. In addition, the coupling modulation can also enhance the slow light effect.     

Pulse Transmission and State Conversion in Two-mode Optomechanical Cavity Coupled with Atomic Medium

We investigate the quantum state conversion between cavity modes of distinctively different wavelengths for the two-mode optomechanical cavity coupled with the three-level lambda atom. In the frequency domain, we show that the coherence of atom medium leads to the two maximum transmissions. We also show that the injected atom can interrupt the traveling photon pulses which is transmitted between the different input and output channels. Thus, the addition of atom provides us a way to control the transmission between the quantum states of two cavity modes and the photon information storage.     

Normal‐Mode Splitting in a Weakly Coupled Electromechanical System with a Mechanical Modulation

Normal‐mode splitting (NMS) is one of the most significant manifestations of strongly coupled systems. Here, NMS is shown to occur in a weakly coupled electromechanical system. In this system, an exponentially enhanced electromechanical coupling is obtained by periodically modulating the electromechanical interaction and the mechanical spring constant. Under the mechanical modulation, an obvious NMS can occur in the fluctuation spectra of the mechanical oscillator's displacement and the output field. Besides, the Stokes and anti‐Stokes fields can also display an obvious NMS. Interestingly, the Stokes field can be changed from full absorption to significant amplification, and the anti‐Stokes field can also be enhanced significantly. Another novel feature of the results is that the intensity between the two peaks in NMS is almost zero, which means that the two peaks can be well resolved in experiments. This work presents an effective method for the generation of a well‐resolved NMS in a weakly coupled system.     

Entanglement Concentration with Different Measurement in a 3-Mode Optomechanical System

In this work, we perform a series of phonon counting measurement with different methods in a 3-mode optomechanical system, and we compare the difference of the entanglement after measurement. In this article we focus on the three cases: prefect measurement, imperfect measurement and on-off measurement. We find that whatever measurement you take, the entanglement will increase. The size of entanglement enhancement is the largest in the perfect measurement, second in the imperfect measurement, and it is not obvious in the on-off measurement. We are sure that the more precise measurement information, the larger entanglement concentration.     

Nonreciprocal Mechanical Squeezing in a Spinning Optomechanical System

A scheme for nonreciprocal mechanical squeezing (NMS) based on the three‐mode optomechanical interaction is proposed. In this scheme, a mechanical mode couples to a spinning whispering‐gallery‐cavity (WGC) mode and to an optical mode. An external laser is coupled into and thus drives the WGC via a waveguide. Mechanical squeezing results from the joint effect of the mechanical intrinsic nonlinearity and the quadratic optomechanical coupling, which, in the presence of strong thermal noise, is still considerable, while the nonreciprocity originates from the optical Sagnac effect. There are two NMS areas in the parametric space, one works for the laser driving from the left of the waveguide and another, from the right. For a given spinning speed of the WGC, the squeezing values in these two areas are equal if the corresponding detunings of the WGC differ from each other by two‐times of the Sagnac–Fizeau shift. At the red‐detuning resonance, the analytical results for the mechanical squeezing and cooling are obtained. The NMS scheme is robust to the thermal noise of the mechanical environment.