Nonlinear-dissipation-induced entanglement of coupled nonlinear oscillators

Voje, Aurora; Isacsson, Andreas

doi:10.1103/physreva.88.022309

Cited by 9 publications

(9 citation statements)

References 31 publications

(42 reference statements)

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“…In particular, graphene resonators [3,11,12,13,14,15,16,17,18], are known to display strong geometric nonlinear conservative as well as nonlinear dissipative response [2,13,14,19,20]. This opens up for new device applications [21] as well as for fundamental research [22,23]. So far, however, much of the work on nonlinear dynamics has focused on one-dimensional systems with beam or string like behavior.…”

Section: Introductionmentioning

confidence: 99%

Frequency tuning, nonlinearities and mode coupling in circular mechanical graphene resonators

2013

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We study circular nanomechanical graphene resonators by means of continuum elasticity theory, treating them as membranes. We derive dynamic equations for the flexural mode amplitudes. Due to the geometrical nonlinearity the mode dynamics can be modeled by coupled Duffing equations. By solving the Airy stress problem we obtain analytic expressions for the eigenfrequencies and nonlinear coefficients as functions of the radius, suspension height, initial tension, back-gate voltage and elastic constants, which we compare with finite element simulations. Using perturbation theory, we show that it is necessary to include the effects of the non-uniform stress distribution for finite deflections. This correctly reproduces the spectrum and frequency tuning of the resonator, including frequency crossings.

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Section: Introductionmentioning

confidence: 99%

Frequency tuning, nonlinearities and mode coupling in circular mechanical graphene resonators

2013

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“…Due to the high frequencies of the localized modes and the low mass of the membrane, our system is a promising candidate for studies in the quantum regime [29]. The presence of intrinsic nonlinearities makes it attractive for creation and detection of non-classical states [44][45][46]. More generally, realizing lattices of interacting flexural modes would pave the road for quantum many-body phononics.…”

Section: Discussionmentioning

confidence: 99%

Nonlinear phononics using atomically thin membranes

Midtvedt

Isacsson

2014

Nat Commun

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Phononic crystals and acoustic metamaterials are used to tailor phonon and sound propagation properties by utilizing artificial, periodic structures. Analogous to photonic crystals, phononic band gaps can be created, which influence wave propagation and, more generally, allow engineering of the acoustic properties of a system. Beyond that, nonlinear phenomena in periodic structures have been extensively studied in photonic crystals and atomic BoseEinstein condensates in optical lattices. However, creating nonlinear phononic crystals or nonlinear acoustic metamaterials remains challenging and only few examples have been demonstrated. Here, we show that atomically thin and periodically pinned membranes support coupled localized modes with nonlinear dynamics. The proposed system provides a platform for investigating nonlinear phononics.

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“…II, the RWA-QME for a symmetric system, ω j = ω 0 , in the weak intermode coupling limit, λ ω 0 , obtains the form [32] …”

Section: Results For Coupled Oscillatorsmentioning

confidence: 99%

“…[32] that a weak conservative Duffing nonlinearity did not affect the asymptotic state behavior when only the lowest lying eigenstates are occupied. Hence, we here limit the study to purely harmonic oscillators, nonlinearly coupled to either one common or two individual environments.…”

Section: Introductionmentioning

confidence: 99%

Entanglement dynamics of quantum oscillators nonlinearly coupled to thermal environments

Voje

Isacsson

2015

Phys. Rev. A

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We study the asymptotic entanglement of two quantum harmonic oscillators nonlinearly coupled to an environment. Coupling to independent baths and a common bath are investigated. Numerical results obtained using the Wangsness-Bloch-Redfield method are supplemented by analytical results in the rotating wave approximation. The asymptotic negativity as function of temperature, initial squeezing and coupling strength, is compared to results for systems with linear system-reservoir coupling. We find that due to the parity conserving nature of the coupling, the asymptotic entanglement is considerably more robust than for the linearly damped cases. In contrast to linearly damped systems, the asymptotic behavior of entanglement is similar for the two bath configurations in the nonlinearly damped case. This is due to the two-phonon system-bath exchange causing a supression of information exchange between the oscillators via the bath in the common bath configuration at low temperatures.

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Nonlinear-dissipation-induced entanglement of coupled nonlinear oscillators

Cited by 9 publications

References 31 publications

Frequency tuning, nonlinearities and mode coupling in circular mechanical graphene resonators

Frequency tuning, nonlinearities and mode coupling in circular mechanical graphene resonators

Nonlinear phononics using atomically thin membranes

Entanglement dynamics of quantum oscillators nonlinearly coupled to thermal environments

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