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Applied Optics

Determination of nonlinear nanomechanical resonator-qubit coupling coefficient in a hybrid quantum system

Qi Geng, Ka‐Di Zhu

Published Jul 5, 2016• 3 citations
Publisher

Abstract

We have theoretically investigated a hybrid system that is composed of a traditional optomechanical component and an additional charge qubit (Cooper pair box) that induces a new nonlinear interaction. It is shown that the peak in optomechanically induced transparency has been split by the new nonlinear interaction, and the width of the splitting is proportional to the coupling coefficient of this nonlinear interaction. This may give a way to measure the nanomechanical oscillator-qubit coupling coefficient in hybrid quantum systems.

DOI
10.1364/ao.55.005358

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We have theoretically investigated a hybrid system that is composed of a traditional optomechanical component and an additional charge qubit (Cooper pair box) that induces a new nonlinear interaction. It is shown that the peak in optomechanically induced transparency has been split by the new nonlinear interaction, and the width of the splitting is proportional to the coupling coefficient of this nonlinear interaction. This may give a way to measure the nanomechanical oscillator-qubit coupling coefficient in hybrid quantum systems.
We propose a scheme to demonstrate the electromagnetically induced transparency (EIT) in a system consisting of a superconducting Cooper-pair box (CPB) coupled to a nanomechanical resonator (NR). In this scheme, the NR plays an important role to contribute additional auxiliary energy levels to the CPB so that the EIT phenomenon could be realized in such a system. We call it, in this paper, resonator-assisted induced transparency (RAIT). The RAIT technique provides a detection scheme in a real experiment to measure physical properties, such as the vibration frequency and the decay rate, of the coupled NR.
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 theoretically investigate the optical response in a hybrid quantum optomechanical system consisting of two optically coupled micro-cavities in which a two-level system (qubit) is coupled with a mechanical membrane. The qubit can either be a defect which interacts with the mechanical oscillator via the linear Jaynes–Cummings interaction or a superconducting charge qubit coupled with the mechanical mode via non-linear interaction. We find that coherent perfect transmission (CPT), coherent perfect synthesis (CPS) and optomechanically induced absorption (OMIA) can be generated by suitably adjusting the system parameters. We find that the qubit and its interaction with the mechanical oscillator emerges as a new handle to control these quantum optical properties. The presence of the qubit results in four points where CPT and CPS can be realized compared to the pure optomechanical case (i.e. in the absence of a qubit) where only three points are attained. This shows that the presence of the qubit gives us more flexibility in choosing the appropriate parameter regime where CPT and CPS can be attained and controlled. We also find that OMIA shows three distinct peaks both in the linear and non-linear cases. In the absence of the qubit, OMIA is converted to optomechanically induced transmission (OMIT). An increase in the qubit decay rate also shows a transition from OMIA to OMIT. Our study reveals that the optical response of the non-linear case is relatively rapid and more sensitive compared to the linear case to changes in the system parameters. This demonstrates the potential use of this hybrid system in designing a tunable all-optical switch and photon router, both of which form important elements of a quantum information network.
We investigate the optical response of a hybrid electro-optomechanical system interacting with a qubit. Our experimentally feasible system explores tunable all-optical-switching, double-optomechanically induced transparency (OMIT) and optomechanically induced absorption (OMIA). The proposed system is also shown to generate anomalous dispersion. Our theoretical results show that the system can switch between OMIT and OMIA by manipulating the relevant system parameters. The normal-mode-splitting (NMS) effect induced by the interactions between the sub-systems is discussed in detail and the effects of varying the interactions on the NMS are analysed. These rich optical properties of the probe field may provide a promising platform for controllable all-optical-switch and various other quantum photonic devices.
We theoretically investigate the optomechanically induced transparency (OMIT) phenomenon in a hybrid optomechanical system composing of an optomechanical cavity and a traditional one. A Kerr medium is inserted in the optomechanical cavity and the other traps the atomic ensemble. We demonstrate the appearance of electromagnetically and optomechanically induced transparency when there is only Kerr medium or atoms in the system. We give an explicit explanation for the mechanism of the transparency. Moreover, we set up new scheme for the measurement of Kerr coefficient and the single atom-photon coupling strength. It is shown that Kerr nonlinearity can inhibit the normal mode splitting (NMS) when the tunnel strength is strong coupling. Furthermore, in the output field, slow light and fast light are converted to realize the tunable switch from slow light to fast light. This study has some important guiding significance in the fields of the high precision measurement and quantum information processing.