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Annalen der Physik

Normal‐Mode Splitting and Optomechanically Induced Absorption, Amplification, and Transparency in a Hybrid Optomechanical System

Tie Wang, Ming‐Hua Zheng, Cheng‐Hua Bai, Dongyang Wang, Ai‐Dong Zhu, Hong‐Fu Wang, Shou Zhang

Published Sep 20, 2018• 27 citations
Publisher

Abstract

Abstract The various properties of the output spectrum for a probe field in a hybrid optomechanical system that is composed of two cavities, each containing an atomic ensemble and a mechanical resonator, is analyzed. Also, the normal‐mode splitting behaviors induced by the interactions between subsystems in detail are discussed and their respective effects are clarified. The interpretations for the linear variation of the separation between two absorption peaks is given out. In the available parameter regime, three tunnel coupling critical points, which describe the transition behaviors between absorption and amplification, are determined. Based on the first critical point, the influence of the two‐level atomic ensemble on absorption (amplification) effect is studied. The effect of the two‐level atomic ensemble not only splits the absorption peak (amplification dip), but also realizes the enhancement of the absorption (amplification) effect and the transformation between absorption and amplification effects. Meanwhile, the one‐to‐one correspondence location relations between the transparency dip and absorption peak for the double optomechanically induced transparency‐like and optomechanically induced absorption‐like, respectively, are also investigated. With a multi‐level atomic ensemble, the multi‐transparency (absorption) effect is realized readily. These rich spectrum properties of the probe field may benefit forward achieving of the optical switch in experiment and possible applications in coherent control of light pulses.

DOI
10.1002/andp.201800228

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Abstract The various properties of the output spectrum for a probe field in a hybrid optomechanical system that is composed of two cavities, each containing an atomic ensemble and a mechanical resonator, is analyzed. Also, the normal‐mode splitting behaviors induced by the interactions between subsystems in detail are discussed and their respective effects are clarified. The interpretations for the linear variation of the separation between two absorption peaks is given out. In the available parameter regime, three tunnel coupling critical points, which describe the transition behaviors between absorption and amplification, are determined. Based on the first critical point, the influence of the two‐level atomic ensemble on absorption (amplification) effect is studied. The effect of the two‐level atomic ensemble not only splits the absorption peak (amplification dip), but also realizes the enhancement of the absorption (amplification) effect and the transformation between absorption and amplification effects. Meanwhile, the one‐to‐one correspondence location relations between the transparency dip and absorption peak for the double optomechanically induced transparency‐like and optomechanically induced absorption‐like, respectively, are also investigated. With a multi‐level atomic ensemble, the multi‐transparency (absorption) effect is realized readily. These rich spectrum properties of the probe field may benefit forward achieving of the optical switch in experiment and possible applications in coherent control of light pulses.
Abstract We study the pump-probe response in an optomechanical cavity accommodating an ensemble of two-level atoms interacting with a cavity mode, which is pumped by a strong driving field and probed by a weak signal field. The atomic excitation is examined without taking any approximations and may be in any regimes ranging from the low limit to the high limit for a given collective coupling constant between the atomic ensemble and the cavity mode. This then results in different absorption and dispersion spectra (such as optomechanically induced transparency, Fano-resonance, normal-mode splitting) when the excitation transfer from cavity mode to atomic ensemble is controlled to change from ineffective to effective. This indicates that a hybrid optomechanical response is indeed determined by the excitation of the atomic ensemble embedded in the optomechanical cavity. It is also of interest that the output signal component and the inside atomic polarization show either synchronous or asynchronous behaviors depending on how the atom-field detuning is chosen, i.e. equal to the mechanical resonator frequency or its negative. Such features may open up an effective avenue in coherently manipulating the internal atomic polarization via the external signal field, and vice versa.
Abstract We investigate a hybrid multi-cavity optomechanical system with interference from a two-level atomic ensemble. The system is composed of three optical cavities and two nanomechanical resonators. A two-level atomic ensemble is filled into the middle optical cavity. The optical cavity located in the middle has two interaction forces with the two outermost optical cavities. What is more, the system also includes various types of interaction relations, which are the couplings of optical cavities with mechanical resonators and the coupling of optical cavity with two-level atomic ensemble. In order to study the optical response of optomechanically induced transparency, we modulate the interaction intensity within the system to obtain different eletromagnetic induced transparent phenomena. It has been found that under the influence of different parameters, the number of transparent windows and the width of transparent windows increase with an increase in the coupling of the optical cavities with atomic ensemble. In addition, as the system parameters change, the transparency points also move. The position of the two outermost transparent points becomes farther apart when the coupling of optical cavity with mechanical resonators increases. Our approach provides a great flexibility for controlling electromagnetically induced transparency. It will have the great potential applications for quantum information processing.
Abstract We investigate the physical properties of multiple optomechanically induced transparency in a system. The system consists of two charged mechanical resonators and an optical cavity. An optical parametric amplifier (OPA) and a two-level atom ensemble are filled into the optical cavity. Some physical phenomena appear in the system driven by the probe field and the pump field. The width of transparent windows can be manipulated by the coupling strengths of the system. Specifically, the width of the transparency window increases with an increase in the parametric gain of the optical parametric amplifier (OPA). Furthermore, the number of transparent windows and the location of transparent points are also affected by the system parameters. The presence of two-level atomic ensemble causes the double transparent windows to be split three transparent windows. The Coulomb coupling between the two charged mechanical resonators causes the transparent points to move. Our approach provides a great flexibility for manipulating multiple induced transparency. It is helpful to study the quantum properties of nonlinear optical systems.
Abstract We theoretically investigate the optical-response properties of the four-mode quadratically coupled optomechanical system (OMS), in which two standard OMSs with quadratic coupling are coupled to each other via a common waveguide. In the presence of a strong control field applied to one cavity and a weak probe field applied to the other, we show that by suitably tuning the system parameters, there appears the normal mode splitting, optomechanically induced absorption, and double or triple electromagnetically induced transparency phenomena in the probe absorption spectrum. In particular, the explicit physical explanations for those fantastic phenomena are detailed discussed. Moreover, we also show that our proposal can be exploited to implement the optical switch as well as the slow and fast light effects.
Abstract We study the reflected and transmitted output properties of a weak probe field incident upon an optomechanical cavity separated by a membrane oscillator and filled with two-level cold atoms. We find that electromagnetically induced transparency (EIT) and optomechanically induced transparency (OMIT) may simultaneously exist owing to separate cavity–atom coupling and cavity-oscillator coupling, respectively. It is more interesting that the hybrid EIT and OMIT phenomena can be manipulated on demand to exhibit various spectral features on dispersion, transmission, and reflection. In particular, we discover the new hybrid double transparency window (a narrow OMIT dip appearing inside the wide EIT window), analogous to double EIT for a four-level atomic system in inverted-Y configuration. Meanwhile, we can reduce the hybrid EIT–OMIT to a single EIT or OMIT shape by changing the magnitude of the driving field power or the atomic number as desired. Furthermore, by changing the system’s detuning it is possible to change the location and the profile of the EIT, therefore switching the shape of the hybrid EIT–OMIT from symmetric to asymmetric, as well as for the profile to change from a absorption dip-like EIT to dispersion-like EIT in both real and imaginary parts of the output probe field. Also, by modifying system’s detuning we have control over the distribution of the output energy, something difficult to achieve with only one of the sub-systems available.
Abstract We investigate the optical-response properties of a coherent-mechanical pumped optomechanical system (OMS) coupled to a Λ-type three-level atomic ensemble. Due to the optomechanical and the cavity-atom couplings, the optomechanically induced transparency (OMIT) and electromagnetically induced transparency (EIT) phenomena could both be observed from our proposal. In the presence of a coherent mechanical pump, we show that the OMIT behavior of the probe field exhibits a phase-dependent effect, leading to the switch from OMIT to optomechanically induced absorption or amplification, while the feature of EIT remains unchanged. The distinctly different effects of the mechanical pump on OMIT and EIT behavior assure us that the absorption (amplification) and transparency of the output probe field can be simultaneously observed. Moreover, a tunable switch from slow to fast light can also be realized by tuning the phase and amplitude of the mechanical pump. In particular, the presence of the atomic ensemble can further adjust the group delay, providing additional flexibility for achieving the tunable switch.