Quantum synchronization of two mechanical oscillators in coupled optomechanical systems with Kerr nonlinearity

Qiao, G. J.; Gao, Han; Liu, H. D.; Yi, X. X.

doi:10.1038/s41598-018-33903-z

Cited by 29 publications

(17 citation statements)

References 53 publications

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“…terms as hopping terms-they only lower and raise spin on neighbouring sites and so, in the z-basis, do not represent a true interaction term. equation (12). These imaginary modes all contain coherences between different spins, the synchronisation observed in figure 3 is dependent on the existence of these inter-spin coherences and figure 4 shows that they give rise to perfect, distance-invariant correlations throughout the system.…”

Section: Synchronisation In a Chain Of Spin-1smentioning

confidence: 91%

“…Moreover, the density matrix is completely translationally invariant; as described in section 2B the dephasing and interactions have washed out any geometry in the system, which now has no characteristic length-scale. This invariance can be seen in the off-diagonal coherences described in equation (12), which occur at all length-scales of the chain and are completely uniform with respect to distance.…”

Section: Synchronisation In a Chain Of Spin-1smentioning

confidence: 91%

“…In figure 2 we visualise the analytical results in equations (10), (12) and (14). We present a plot of the eigenspectrum of  ( figure 2(a)), the formation of these imaginary eigenmodes is clear and their spacing is set by the value of ω.…”

Section: Synchronisation In a Chain Of Spin-1smentioning

confidence: 99%

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Quantum synchronisation enabled by dynamical symmetries and dissipation

et al. 2020

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In nature, instances of synchronisation abound across a diverse range of environments. In the quantum regime, however, synchronisation is typically observed by identifying an appropriate parameter regime in a specific system. In this work we show that this need not be the case, identifying conditions which, when satisfied, guarantee that the individual constituents of a generic open quantum system will undergo completely synchronous limit cycles which are, to first order, robust to symmetry-breaking perturbations. We then describe how these conditions can be satisfied by the interplay between several elements: interactions, local dephasing and the presence of a strong dynamical symmetry-an operator which guarantees long-time non-stationary dynamics. These elements cause the formation of entanglement and off-diagonal long-range order which drive the synchronised response of the system. To illustrate these ideas we present two central examples: a chain of quadratically dephased spin-1s and the many-body charge-dephased Hubbard model. In both cases perfect phase-locking occurs throughout the system, regardless of the specific microscopic parameters or initial states. Furthermore, when these systems are perturbed, their nonlinear responses elicit longlived signatures of both phase and frequency-locking.

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Section: Synchronisation In a Chain Of Spin-1smentioning

confidence: 91%

Section: Synchronisation In a Chain Of Spin-1smentioning

confidence: 91%

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Quantum synchronisation enabled by dynamical symmetries and dissipation

et al. 2020

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“…It is also possible to see a slight red-shift of the mechanical frequency in the oscillating peak of ≈ 3.5 MHz, which is attributed to thermal softening of GaAs [55]. This shows that disks produced with our fabrication process can be used as mechanical oscillators, a key aspect to investigate other optomechanical phenomena, such as nonlinear dynamics [56,57], coherent optical conversion [22] and classical and quantum synchronization [58,59]. Although not explored here, achieving self-sustaining oscillation shows that optical cooling [14] is within reach of our devices.…”

Section: Optical and Mechanical Characterizationmentioning

confidence: 66%

Ar/Cl₂ etching of GaAs optomechanical microdisks fabricated with positive electroresist

Benevides¹,

Ménard²,

Wiederhecker³

et al. 2019

Opt. Mater. Express

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A method to fabricate GaAs microcavities using only a soft mask with an electrolithographic pattern in an inductively coupled plasma etching is presented. A careful characterization of the fabrication process pinpointing the main routes for a smooth device sidewall is discussed. Using the final recipe, optomechanical microdisk resonators are fabricated. The results show a very high optical quality factors of Q opt > 2 × 10 5 , among the largest already reported for dry-etching devices. The final devices are also shown to present high mechanical quality factors and an optomechanical vacuum coupling constant of g 0 = 2π × 13.6 kHz enabling self-sustainable mechanical oscillations for an optical input power above 1 mW. OCIS codes: (130.3990) Micro-optical devices; (230.4000) Microstructure fabrication; (220.4880) Optomechanics 1. Introduction Harnessing the confinement of light with wavelength-scale waveguides and cavities has enabled the realization of table-top scale nonlinear optical phenomena in silicon-compatible photonic chips. Recent examples show the versatility of this integrated photonics approach, such as frequency comb generation [1, 2], quantum computation [3-8], low voltage eletro-optical modulation [9], and optical to microwave coherent conversion [10]. One key ingredient that may also boost this revolution is the interaction between light and mechanical degrees of freedom, enabling both read-out and actuation of mesoscale mechanical modes in waveguides [11] and cavities [12][13][14][15], paving the road towards the sound circuits revolution [16,17]. Throughout the quest for better suited cavity geometries that can host optical and mechanical waves, microdisk cavities have proven to be a simple and effective choice. Their tight radial confinement of whispering gallery optical waves and rather strong interaction with radial breathing mechanical modes lead to high optomechanical coupling rates [18][19][20], which are necessary for efficient device-level functionalities [7,[21][22][23]. Other ingredients in the optomechanical enhancement are the cavity or waveguide material properties. Although silicon is widespread in many optomechanical devices [14,[24][25][26][27] due to its mature fabrication, the interest in III-V materials for optomechanical devices has increased [28-32] due to their unique optical, electronic and mechanical properties. Gallium Arsenide (GaAs), for instance, is advantageous because of its very high photoelastic coefficient [33], which leads to large electrostrictive forces and optomechanical coupling [18,34]. Moreover, optically active layers can be easily grown on GaAs wafers, allowing the fabrication of light-emitting optomechanical devices [35][36][37].Despite the tougher challenges in fabricating high optical quality factor in GaAs cavities, in comparison to the more mature fabrication of silicon, both wet and dry chemistry etching have been successfully developed. Wet etching, followed by surface passivation, resulted in record high intrinsic optical quality factors of 6 × 10 ...

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“…Its Hamiltonian reads,

where the last term on the right-hand side denotes the coupling between the subsystems and

is the coupling strength. Physical systems such as Equation ( 1 ) include vibrating molecules [ 23 ], modes of the electromagnetic field [ 24 , 25 , 26 ], and coupled optomechanical systems [ 27 , 28 ]. The subsystem, i.e., the Duffing oscillator, is of both theoretical and experimental interest.…”

Section: System Of Interestmentioning

confidence: 99%

Frequency Dependence of the Entanglement Entropy Production in a System of Coupled Driven Nonlinear Oscillators

Zhang

2019

Entropy

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Driven nonlinear systems have attracted great interest owing to their applications in quantum technologies such as quantum information. In quantum information, entanglement is a vital resource and can be measured by entropy in bipartite systems. In this paper, we carry out an investigation to study the impact of driving frequency on the entanglement with a bipartite system of two coupled driven nonlinear oscillators. It is numerically found that the time evolution of the entanglement entropy between the subsystems significantly depends on the driving frequency. The dependence curve of the entropy production on the driving frequency exhibits a pronounced peak. This means the entanglement between the subsystems can be greatly increased by tuning the driving frequency. Further analyses show that the enhancement of the entropy production by the driving frequency is closely related to the energy levels involved in the quantum evolution. This is confirmed by the results related to the quantum spectrum and the dispersion of the wave function in the phase space. Our work gives a convenient way to enhance the entanglement in driven nonlinear systems and throws light on the role of driven nonlinear systems in quantum information technologies.

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Quantum synchronization of two mechanical oscillators in coupled optomechanical systems with Kerr nonlinearity

Cited by 29 publications

References 53 publications

Quantum synchronisation enabled by dynamical symmetries and dissipation

Quantum synchronisation enabled by dynamical symmetries and dissipation

Ar/Cl₂ etching of GaAs optomechanical microdisks fabricated with positive electroresist

Frequency Dependence of the Entanglement Entropy Production in a System of Coupled Driven Nonlinear Oscillators

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Quantum synchronization of two mechanical oscillators in coupled optomechanical systems with Kerr nonlinearity

Cited by 29 publications

References 53 publications

Quantum synchronisation enabled by dynamical symmetries and dissipation

Quantum synchronisation enabled by dynamical symmetries and dissipation

Ar/Cl2 etching of GaAs optomechanical microdisks fabricated with positive electroresist

Frequency Dependence of the Entanglement Entropy Production in a System of Coupled Driven Nonlinear Oscillators

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Ar/Cl₂ etching of GaAs optomechanical microdisks fabricated with positive electroresist