Cross-Kerr nonlinearity in optomechanical systems

Khan, Raphaël; Massel, Francesco; Heikkilä, Tero T.

doi:10.1103/physreva.91.043822

Cited by 38 publications

(34 citation statements)

References 25 publications

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“…In general, for specific parameters of the system one can find other nonlinearities, e.g., dissipative [24] or cross-Kerr [25] couplings, which go beyond the scope of our paper.…”

Section: Beyond Duffingmentioning

confidence: 99%

Optomechanical response of a nonlinear mechanical resonator

et al. 2015

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We investigate theoretically in detail the nonlinear effects in the response of an optical/microwave cavity coupled to a Duffing mechanical resonator. The cavity is driven by a laser at a red or blue mechanical subband, and a probe laser measures the reflection close to the cavity resonance. Under these conditions, we find that the cavity exhibits optomechanically induced reflection (OMIR) or absorption (OMIA) and investigate the optomechanical response in the limit of nonlinear driving of the mechanics. Similar to linear mechanical drive, in an overcoupled cavity the red sideband drive may lead to both OMIA and OMIR depending on the strength of the drive, whereas the blue sideband drive only leads to OMIR. The dynamics of the phase of the mechanical resonator leads to the difference between the shapes of the response of the cavity and the amplitude response of the driven Duffing oscillator, for example, at weak red sideband drive the OMIA dip has no inflection point. We also verify that mechanical nonlinearities beyond Duffing model have little effect on the size of the OMIA dip though they affect the width of the dip.

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“…In general, for specific parameters of the system one can find other nonlinearities, e.g., dissipative [24] or cross-Kerr [25] couplings, which go beyond the scope of our paper.…”

Section: Beyond Duffingmentioning

confidence: 99%

Optomechanical response of a nonlinear mechanical resonator

et al. 2015

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“…The CK nonlinearity leads to a frequency shift in both the mechanical and optical modes [13] and also affects the stability of the optomechanical system [14]. In addition, it can change the optical bistability of the optomechanical system into a tristable behavior [15].…”

Section: Introductionmentioning

confidence: 99%

Intrinsic cross-Kerr nonlinearity in an optical cavity containing an interacting Bose-Einstein condensate

Dalafi

Naderi

2017

Phys. Rev. A

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An interacting cigar-shaped Bose-Einstein condensate (BEC) inside a driven optical cavity exhibits an intrinsic cross-Kerr (CK) nonlinearity due to the interaction with the optical mode of the cavity. Although the CK coupling is much weaker than those of the radiation pressure and the atom-atom interactions, it can affect the bistability behavior of the system when the intensity of the laser pump is strong enough. On the other hand, there is a competition between the CK nonlinearity and the atom-atom interaction so that the latter can neutralize the effect of the former. Furthermore, the CK nonlinearity causes the effective frequency of the Bogoliubov mode of the BEC as well as the quantum fluctuations of the system to be increased by increasing the cavity driving rate. However, in the dispersive interaction regime the effect of the CK nonlinearity is negligible. In addition, we show that by increasing the s-wave scattering frequency of atomic collisions one can generate a strong stationary quadrature squeezing in the Bogoliubov mode of the BEC.

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“…Cross-Kerr can be realised by coupling two cavities of different frequency via a single qubit device. Both of these effects are also of interest in a variety of analogous quantum systems, such as cavity optomechanics [23,24], where large nonlinearities can be feasibly produced.…”

Section: Introductionmentioning

confidence: 99%

Designing Kerr interactions using multiple superconducting qubit types in a single circuit

2018

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The engineering of Kerr interactions is of great interest for processing quantum information in multipartite quantum systems and for investigating many-body physics in a complex cavity-qubit network. We study how coupling multiple different types of superconducting qubits to the same cavity modes can be used to modify the self-and cross-Kerr effects acting on the cavities and demonstrate that this type of architecture could be of significant benefit for quantum technologies. Using both analytical perturbation theory results and numerical simulations, we first show that coupling two superconducting qubits with opposite anharmonicities to a single cavity enables the effective self-Kerr interaction to be diminished, while retaining the number splitting effect that enables control and measurement of the cavity field. We demonstrate that this reduction of the self-Kerr effect can maintain the fidelity of coherent states and generalised Schrödinger cat states for much longer than typical coherence times in realistic devices. Next, we find that the cross-Kerr interaction between two cavities can be modified by coupling them both to the same pair of qubit devices. When one of the qubits is tunable in frequency, the strength of entangling interactions between the cavities can be varied on demand, forming the basis for logic operations on the two modes. Finally, we discuss the feasibility of producing an array of cavities and qubits where intermediary and on-site qubits can tune the strength of self-and cross-Kerr interactions across the whole system. This architecture could provide a way to engineer interesting many-body Hamiltonians and be a useful platform for quantum simulation in circuit quantum electrodynamics.

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Cross-Kerr nonlinearity in optomechanical systems

Cited by 38 publications

References 25 publications

Optomechanical response of a nonlinear mechanical resonator

Optomechanical response of a nonlinear mechanical resonator

Intrinsic cross-Kerr nonlinearity in an optical cavity containing an interacting Bose-Einstein condensate

Designing Kerr interactions using multiple superconducting qubit types in a single circuit

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