Optomechanically Induced Transparency Research Articles

Nonreciprocal optomechanically induced transparency and enhanced ground-state cooling in a reversed-dissipation cavity system.

We explore the prospects of phase-modulated optical nonreciprocity and enhanced ground-state cooling of a mechanical resonator for the reversed-dissipation system, where the dissipative coupling between two cavities is realized through the adiabatic elimination of a low-Q mechanical mode, while a high-Q mechanical mode interacts with two mutually coupled cavities, forming a closed-loop structure. This unique system facilitates the nontrivial phenomenon of optomechanically induced transparency (OMIT), which exhibits asymmetry due to the frequency shift effect. We also observe the emergence of parity-dependent unidirectional OMIT windows (appearing under the phase-matching condition), which can be dynamically modulated by both the phase factors and the strength of the dissipative coupling. Furthermore, our study delves into the ground-state cooling effect operating within the reversed-dissipation regime. Intriguingly, the cooling effect can be significantly enhanced by carefully engineering dissipative complex coupling, such as in the phase-matching condition. The potential applications of this scheme extend to the fabrication of ideal optical isolators in optical communication systems and the manipulation of macroscopic mechanical resonators at the quantum level, presenting exciting opportunities in quantum technologies.

A rotational-cavity optomechanical system with two revolving cavity mirrors: optical response and fast-slow light mechanism

We investigate the optical behavior of a single Laguerre–Gaussian cavity optomechanical system consisting of two mechanically rotating mirrors. We explore the effects of various physical parameters on the double optomechanically induced transparency (OMIT) of the system and provide a detailed explanation of the underlying physical mechanism. Here, we show that the momentum is not the cause of the current double-OMIT phenomena; rather, it results from the orbital angular momentum between the optical field and the rotating mirrors. Additionally, the double-OMIT is simply produced using a single Laguerre–Gaussian cavity optomechanical system rather than by integrating many subsystems or adding the atomic medium as in earlier studies. We also investigate the impact of fast and slow light in this system. Finally, we show that the switching between ultrafast and ultraslow light can be realized by adjusting the angular momentum, which is a new source of regulating fast-slow light.

Optomechanically Induced Transparency in Optomechanical System with a Cubic Anharmonic Oscillator

In this paper, we studied the optomechanically induced transparency (OMIT) in a cavity optomechanical system containing a cubic nonlinear oscillator. In our system, a partially transparent, dielectric membrane was placed in the middle of the F-P cavity. Due to the partial transmission and reflective property of the membrane, the membrane was combined with both the mirrors on the left and right sides to form two cavities. When the system was driven by two coupling fields, we calculated the quantum fluctuation of the optomechanical system operators and showed the response of the cavity optomechanical system to the probe field. We found that the cubic nonlinearity led to a shift of the OMIT window, which moved towards a frequency less than the resonance frequency, and the absorption peak became significantly asymmetrical when OMIT appeared. The shift of the OMIT dip provided a method to detect the nonlinear effects of the system due to the existence of cubic anharmonic potential.

Optical bistability and four-wave mixing response of a quantum dot coupled to an optomechanical photonic crystal nanocavity

We theoretically explore the nonlinear optical response including optical bistability and four-wave mixing (FWM) process in a hybrid cavity quantum electrodynamic (C-QED) system. The hybrid C-QED system consists of a quantum dot (QD) which is coherently driven by two-tone laser fields and embedded in an optomechanical photonic crystal (PhC) nanocavity. Our theoretical analysis demonstrates optical bistability, where the steady-state photon number follows a constant rise in the gain of the switch by controlling a strong pump field driving the QD. A strong coupling between quantised fields and matter (e.g. in optical cavities) is a successful approach for conventionally modifying the dressed state and by altering the field parameters, the modulation of QD dressed state is accomplished. In addition, we list the influence of off-resonant detuning, exciton-nanocavity coupling strength and Rabi coupling strength in our proposed system which generates a controllable four-wave mixing (FWM) signal in the output probe field of the system. The intensity of the FWM is significantly changed when strong coupling and high pump power are present simultaneously and results in the formation of an optomechanically induced transparency (OMIT) window and slow light. The investigation of the proposed system have potential application towards on-chip QD-based nanophotonic devices.

Perfect optomechanically induced transparency and slow light in an Rydberg atom-assisted optomechanical system

Rydberg atoms have attracted considerable attention due to their several singular properties, such as strong long-range interactions, extremely long lifetimes, and very large polarizability. These characteristics make Rydberg atoms a good candidates for cavity quantum electrodynamics, quantum information, and many-body physics. Recently, the study of optomechanics has become a rapidly developing field due to its important applications in cooling of mechanical resonators, implementing precision measurements, slowing light, and preparing quantum entanglement. Obviously, optomechanical systems pave the way for quantum information processing and quantum communication. Specially, there is significant interest in quantum optomechanics due to its high compatibility that can be combined, to build hybrid systems for certain purposes, with the ultracold atoms, a superconducting single electron transistor, a magnetostrictive actuation, a charged oscillator resonator, etc. In this work, we investigate the optomechanically induced transparency (OMIT) and the resulting effect of slow light in a hybrid system composed of a Rydberg atomic ensemble embedded inside a simple optomechanical cavity. As a typical effect of destructive quantum interference, OMIT is widely used in quantum optics and quantum information processing. Based on the Rydberg blockade effect, a Rydberg atomic ensemble in the same blockade region embedded inside an optomechanical cavity can be regarded as a superatom that contains only a single Rydberg excitation. Therefore, the problem of exponentially increasing system size with the number of atoms increasing can be circumvented easily. The hybrid system becomes a coupling between a Rydberg superatom and an optomechanical cavity and the coupling strength is enhanced by a factor of square root of the number of atoms in the ensemble. In this system, the perfect OMIT, namely, an ideal OMIT dip with a very narrow window, can be attained when an effect of non-rotating wave approximation (NRWA) is considered. Further, we demonstrate that the term of NRWA plays a key important role in achieving perfect OMIT by comparing the optomechanical spectra obtained with and without NRWA effects. Our results show that in the resolved sideband regime the higher the quality factor of cavity is, the stronger the slow light effect becomes in the window of the perfect OMIT. Particularly, in achieving the ultraslow light, the long lifetime of the Rydberg atom shows its superiority.

Optomechanically induced transparency and directional amplification in a non-Hermitian optomechanical lattice

In this paper, we propose a 1-dimensional optomechanical lattice which possesses non-Hermitian property due to its nonreciprocal couplings. We calculated the energy spectrum under periodical boundary condition and open boundary condition, respectively. To investigate the transmission property of the system, we calculate the Green function of the system using non-Bloch band theory. By analyzing the Green function and the periodical boundary condition results, we studied the directional amplification of the system and found the frequency that supports the amplification. By adding probe laser on one site and detect the output of the same site, we found that optomechanically induced transparency (OMIT) can be achieved in our system. Different from the traditional OMIT spectrum, quantum interference due to a large number of modes can be observed in our system. When varying the nonreciprocal and other parameters of the system, the OMIT peak can be effectively modulated or even turned into optomechanically induced amplification. Our system is very promising to act as a one-way signal filter. Our model can also be extended to other non-Hermitian optical systems which may possess topological features and bipolar non-Hermitian skin effect.

The fast and slow light in a hybrid spinning optomechanical system mediated by a two-level system

We present a hybrid spinning whispering-gallery-mode (WGM) optomechanical system, where the mechanical resonator is not only coupled to the WGM cavity via radiation pressure but also coupled to a two-level system (TLS) via the Jaynes–Cummings coupling. If the WGM cavity is spinning along the clockwise or counterclockwise direction, the cavity field can undergo different Sagnac effect. The transmission spectra experience the conversion from optomechanically induced transparency (OMIT) to Fano resonance by controlling the resonator-TLS coupling, the rotational direction of the WGM cavity, and the cavity-pump detuning. Furthermore, both the OMIT and Fano resonance in the transmission spectra can induce the transparency windows accompanied by the rapid normal phase dispersion, which results in the tunable delayed or accelerated probe light transmission. The numerical results indicate that the OMIT leads to slow light, while Fano resonances generate the conversion from fast to slow light (or slow to fast light), and the parameters of the resonator-TLS coupling, the Sagnac frequency shift, the pump field frequency, and the cavity-pump detuning together determine the fast and slow light effect based on the hybrid spinning optomechanical system.

Tunable second-order sideband effects in hybrid optomechanical cavity assisted with a Bose–Einstein condensate

We theoretically investigated a second-order optomechanical-induced transparency (OMIT) process of a hybrid optomechanical system (COMS), which a Bose–Einstein condensate (BEC) in the presence of atom–atom interaction trapped inside a cavity with a moving end mirror. The advantage of this hybrid COMS over a bare COMS is that the frequency of the second mode is controlled by the s-wave scattering interaction. Based on the traditional linearization approximation, we derive analytical solutions for the output transmission intensity of the probe field and the dimensionless amplitude of the second-order sideband (SS). The numerical results show that the transmission intensity of the probe field and the dimensionless amplitude of the SS can be controlled by the s-wave scattering frequency. Furthermore, the control field intensities, the effective detuning, the effective coupling strength of the cavity field with the Bogoliubov mode are used to control the transmission intensity of the probe field and the dimensionless amplitude of the SS.

Ultraslow light realization using an interacting Bose\u2013Einstein condensate trapped in a shallow optical lattice

In this article, we propose an experimentally feasible scheme for the ultraslow light realization based on the optomechanically induced transparency (OMIT) phenomenon using a hybrid optomechanical system consisting of a one-dimensional Bose–Einstein condensate trapped in a shallow optical lattice considering the nonlinear effect of atom-atom interaction. It is shown how the system can switch from the normal mode splitting to the OMIT regime by manipulation of the s-wave scattering frequency of atomic collisions when the cavity is pumped at a fixed rate. Then, it is shown that an ultraslow light with a time delay more than 150 ms corresponding to a group velocity about 1 mm/s is achievable by controlling the optical lattice depth as well as the strength of atom-atom interaction and the number of atoms. Importantly, such an ultraslow light is detectable in the output of the cavity since it occurs in the frequency region of coupling-probe detuning where the reflection coefficient of the cavity is maximum.

Topologically protected optomechanically induced transparency in a one-dimensional optomechanical array

We investigate the optomechanically induced transparency (OMIT) in an optomechanical lattice. By controlling the frequency of the external drivings in a periodic manner, the optomechanical lattice can be regarded as a Su-Schrieffer-Heeger model. By calculating the local photon density of states for the system, we investigate the response of the system to a weak probe field. In the nondeep topological nontrivial phase, we find that the system has two nondegenerate edge modes due to the finite size of the system. In this regime, a narrow transparency window of the probe field, which is much narrower than the scale set by photon decay, can be observed due to the destructive interference of the probe field absorption paths induced by the two nondegenerate edge modes. In the deep topological nontrivial phase, the two edge modes become degenerate and the narrow transparency window changes into a wide absorption window. The OMIT of the optomechanical array can also be observed in the presence of large disorders of the many-photon optomechanical couplings. Our work generalizes the OMIT of a single optomechanical cavity to a topological optomechanical system and might have potential applications in quantum information processing and quantum optical devices.

Nonlinear optical response in coupled quantum wells optomechanical microcavity

We investigate the optical properties of a hybrid solid-state optomechanical microcavity containing two coupled quantum wells interacting with the cavity mode in the presence of a third-order nonlinear medium and a mechanically compliant distributed Bragg reflector (MC-DBR). The MC-DBR interacts with the cavity mode via the nonlinear radiation pressure effect. The steady state mean-field analysis shows the existence of optical bistability, which can be utilized to design all optical tunable switch. The coupling between the two quantum wells, the interaction between the excitons and the optical mode, the Kerr nonlinearity, and the optomechanical interaction can be tuned to operate the optical switch at lower input laser power. The fluctuation dynamics demonstrate the presence of optomechanically induced transparency (OMIT) and optomechanically induced absorption (OMIA). We find that both OMIT and OMIA can be manipulated efficiently by optomechanical coupling strength and the quantum well tunneling rate.

Phonon pump enhanced fast and slow light in a spinning optomechanical system

We investigate the properties of the optical output fields in a spinning optomechanical system under the condition of optomechanically induced transparency (OMIT), where the cavity is optically driven by a strong pump field and a weak probe field and the mechanical resonator is driven by a coherent phonon pump. When the driven frequency of the phonon pump equals the frequency difference of the pump and probe fields, we show an enhancement OMIT, where the probe transmission can exceed unity via controlling the amplitude and phase of the phonon pump. Furthermore, the phase dispersion of the transmitted probe field is modified with manipulating the spinning direction of the resonator, which leads to a tunable delayed probe light transmission, due to the clockwise and counterclockwise optical fields in the resonator undergo the different Sagnac effect. Combining Sagnac effect, we demonstrate that the large positive or negative group delay of the output probe field can be achieved by adjusting the phase and amplitude of the coherent phonon pump, which can realize a tunable conversion between the slow and fast light effect with manipulating the spinning direction of the resonator, power of the pump field as well as the amplitude and phase of the phonon pump.

Optomechanically induced transparency and Fano resonance in a four-mirror cavity

The optomechanically induced transparency (OMIT) and Fano resonance are revisited in a rotational cavity system. Our model consists of four mirrors where two mirrors have rotational motion whereas the remaining two are fixed. We notice that the phenomenon of OMIT and Fano resonance depends upon the orbital angular momentum (OAM) of the vortex light. In the presence of OAM, we study the light propagation in the cavity system. It is found that under the influence of OAM and increasing the masses of the rotational mirror, the group delay increases. Remarkably, we measure the OAM states of vortex light using the phenomenon of OMIT.

Slow light effect in hybrid optomechanical system

AbstractWe theoretically examined the slow light effect in a one‐sided optomechanical system with a two‐level atom placed inside it. When the cavity without atoms is driven by the input field, an optomechanically induced transparency (OMIT) window appears in the transmission spectrum due to destructive interference. We observed that due to the existence of atoms, the OMIT window shifted to normal‐mode splitting and steeper Fano shapes. Our results exhibit that coupling strength has a very prominent effect on the transmission part. The Larger the coupling strength, the larger will be the effect on the transmission. This leads to rapid positive phase dispersion in the transmitted field, gives rise to the corresponding slow light effect.

Static synthetic gauge field control of double optomechanically induced transparency in a closed-contour interaction scheme

We study theoretically an optical cavity and a parity-time ($\mathcal{PT}$)-symmetric pair of mechanical resonators, where all oscillators are pairwise coupled, forming an optomechanical system with a closed-contour interaction. Due to the presence of both gain and feedback, we explore its stability and the root loci over a wide coupling range. Under the red-sideband pumping and for the so-called $\mathcal{PT}$-unbroken phase it displays a double optomechanically induced transparency (OMIT) for an experimentally realizable parameter set. We show that both the transmission amplitude and the group delay can be continuously steered from the lower transmission window to the upper one by the loop coupling phase which breaks the time-reversal symmetry and introduces a static synthetic gauge field. In the $\mathcal{PT}$-unbroken phase both the gain-bandwidth and delay-bandwidth products remain constant over the full range of the controlling phase. Tunability in transmission and bandwidth still prevails in the $\mathcal{PT}$-broken phase, albeit over a reduced range. In essence, we suggest a simple scheme that grants coupling phase-dependent control of the single and double OMIT phenomena within an effective $\mathcal{PT}$-symmetric optomechanical system.

Controllable Fast and Slow Light in Photonic-Molecule Optomechanics with Phonon Pump.

We theoretically investigate the optical output fields of a photonic-molecule optomechanical system in an optomechanically induced transparency (OMIT) regime, in which the optomechanical cavity is optically driven by a strong pump laser field and a weak probe laser field and the mechanical mode is driven by weak coherent phonon driving. The numerical simulations indicate that when the driven frequency of the phonon pump equals the frequency difference of the two laser fields, we show an enhancement OMIT where the probe transmission can exceed unity via controlling the driving amplitude and pump phase of the phonon driving. In addition, the phase dispersion of the transmitted probe field can be modified for different parametric regimes, which leads to a tunable delayed probe light transmission. We further study the group delay of the output probe field with numerical simulations, which can reach a tunable conversion from slow to fast light with the manipulation of the pump laser power, the ratio parameter of the two cavities, and the driving amplitude and phase of the weak phonon pump.

Multistability and Fano resonances in a hybrid optomechanical photonic crystal microcavity

We investigate the optical response of a hybrid cavity quantum-electrodynamics system consisting of a quantum dot embedded in an optomechanical photonic crystal cavity. The system is coupled to an auxiliary cavity via a waveguide that can support a single optical mode. We demonstrate the possibility of generating tunable optical bistability, double-bistabilty and tristability which can be utilized to design all-optical-switch and multi-valued logic circuits eventually forming a part of a large scale quantum communication platform. The proposed system has also found to exhibit the Mollow triplet and the Fano resonances modified by an optomechanical interaction. The optomechanically induced transparency (OMIT) is superimposed on the Fano resonance (OMIT-Fano resonance) having the transparency window occurring exactly at the point where the probe detuning becomes equal to the mechanical oscillator's resonant frequency.

Enhancement of the Goos-Hänchen shift in an optomechancal cavity via Casimir force

We suggest an optomechanical system to study the manipulation of the Goos-Hänchen shift (GHS) in the reflected light. Our proposed model consists of a cavity with two plates of mirrors where one is movable(reflecting) while the other is fixed (partially reflecting). An external plate of dielectric is attached for the generation of Casimir force in the system. A Casimir force can affect the output probe field (OPF) that leads to the manipulation of optomechanically induced transparency (OMIT) (Sci. Rep. 6, 27 102 (2016)). Remarkably, we explore the magnitude enhancement of the GHS in the presence of Casimir force in the system. Our theoretical model can provide the possibility in the real experiment and can study the magnitude enhancement of the GHS in the reflected light.

Robust Four-Wave Mixing and Double Second-Order Optomechanically Induced Transparency Sideband in a Hybrid Optomechanical System

We theoretically research the four-wave mixing (FWM) and second-order sideband generation (SSG) in a hybrid optomechanical system under the condition of pump on-resonance and pump off-resonance, where an optomechanical resonator is coupled to another nanomechanical resonator (NR) via Coulomb interaction. Using the standard quantum optics method and input–output theory, we obtain the analytical solution of the FWM and SSG with strict derivation. According to the numerical simulations, we find that the FWM can be controlled via regulating the coupling strength and the frequency difference of the two NRs under different detuning, which also gives a means to determine the coupling strength of the two NRs. Furthermore, the SSG is sensitive to the detuning, which shows double second-order optomechanically induced transparency (OMIT) sidebands via controlling the coupling strength and frequencies of the resonators. Our investigation may increase the comprehension of nonlinear phenomena in hybrid optomechanics systems.

Tunable optomechanically induced transparency and fast-slow light in a loop-coupled optomechanical system* *Project supported by the National Natural Science Foundation of China (Grant No. 62061028), the Foundation for Distinguished Young Scientists of Jiangxi Province, China (Grant No. 20162BCB23009), the Open Research Fund Program of the State Key Laboratory of Low-Dimensional Quantum Physics (Grant No. KF202010), the Interdisciplinary Innovation Fund of

We theoretically explore the tunability of optomechanically induced transparency (OMIT) phenomenon and fast–slow light effect in a loop-coupled hybrid optomechanical system in which two optical modes are coupled to a common mechanical mode. In the probe output spectrum, we find that the interference phenomena OMIT caused by the optomechanical interactions and the normal mode splitting (NMS) induced by the strong tunnel coupling between the cavities can be observed. We further observe that the tunnel interaction will affect the distance and the heights of the sideband absorption peaks. The results also show that the switch from absorption to amplification can be realized by tuning the driving strength because of the existence of stability condition. Except from modulating the tunnel interaction, the conversion between slow light and fast light also can be achieved by adjusting the optomechanical interaction in the output field. This study may provide a potential application in the fields of high precision measurement and quantum information processing.