Towards optomechanical quantum state reconstruction of mechanical motion

Vanner, Michael R.; Pikovski, Igor; Kim, M. S.

doi:10.1002/andp.201400124

Cited by 59 publications

(60 citation statements)

References 117 publications

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“…In an experimental implementation, it is vital do to have a scheme to detect and reconstruct such states. There is a great body of work regarding the reconstruction of mechanical states [99]; here, we comment on the route consisting of a displacement and a phonon number measurement. One possible way to see that this technique allows to reconstruct the quantum state is to note that the Wigner function can be written as…”

Section: E Detection Of Mechanical Non-classical Statesmentioning

confidence: 99%

Hybrid Systems for the Generation of Nonclassical Mechanical States via Quadratic Interactions

et al. 2018

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We present a method to implement two-phonon interactions between mechanical resonators and spin qubits in hybrid setups, and show that these systems can be applied for the generation of nonclassical mechanical states even in the presence of dissipation. In particular, we demonstrate that the implementation of a two-phonon Jaynes-Cummings Hamiltonian under coherent driving of the qubit yields a dissipative phase transition with similarities to the one predicted in the model of the degenerate parametric oscillator: beyond a certain threshold in the driving amplitude, the driven-dissipative system sustains a mixed steady state consisting of a "jumping cat", i.e., a cat state undergoing random jumps between two phases. We consider realistic setups and show that, in samples within reach of current technology, the system features non-classical transient states, characterized by a negative Wigner function, that persist during timescales of fractions of a second.

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Section: E Detection Of Mechanical Non-classical Statesmentioning

confidence: 99%

Hybrid Systems for the Generation of Nonclassical Mechanical States via Quadratic Interactions

et al. 2018

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“…While our continuous-wave readout technique is suitable for the regime experimentally tested here, this technique cannot resolve displacements below the size of the ground state, which is required for mechanical quantum state reconstruction. Different techniques, such as quantum non-demolition pulsed quadrature measurements [32,43], or two-toned driving schemes [44], can allow this limit to be surpassed [45]. A detailed discussion of position measurements and mechanical state reconstruction is beyond the scope of the present work and the reader is encouraged to refer to these references for further details.…”

Section: Discussionmentioning

confidence: 99%

Generation of mechanical interference fringes by multi-photon counting

et al. 2018

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Exploring the quantum behaviour of macroscopic objects provides an intriguing avenue to study the foundations of physics and to develop a suite of quantum-enhanced technologies. One prominent path of study is provided by quantum optomechanics which utilizes the tools of quantum optics to control the motion of macroscopic mechanical resonators. Despite excellent recent progress, the preparation of mechanical quantum superposition states remains outstanding due to weak coupling and thermal decoherence. Here we present a novel optomechanical scheme that significantly relaxes these requirements allowing the preparation of quantum superposition states of motion of a mechanical resonator by exploiting the nonlinearity of multi-photon quantum measurements. Our method is capable of generating non-classical mechanical states without the need for strong singlephoton coupling, is resilient against optical loss, and offers more favourable scaling against initial mechanical thermal occupation than existing schemes. Moreover, our approach allows the generation of larger superposition states by projecting the optical field onto NOON states. We experimentally demonstrate this multi-photon-counting technique on a mechanical thermal state in the classical limit and observe interference fringes in the mechanical position distribution that show phase superresolution. This opens a feasible route to explore and exploit quantum phenomena at a macroscopic scale.

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“…Our choice of the QND coupling for the task of the quantum state analysis is dictated particularly by the ability of the former to perform well at moderate cavity escape efficiencies. Other more demanding options would include, for example, swapping the mechanical state to optics with subsequent optical tomography, or detection of the mechanical characteristic function via coupling to an atom (see [78] and references therein). The QND interaction has been implemented in the domains of electromechanics [17,79,80] and optomechanics [81].…”

Section: Direct Detection Methodsmentioning

confidence: 99%

Estimation of squeezing in a nonlinear quadrature of a mechanical oscillator

2019

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Processing quantum information on continuous variables requires a highly nonlinear element in order to attain universality. Noise reduction in processing such quantum information involves the use of a nonlinear phase state as a non-Gaussian ancilla. A necessary condition for a nonlinear phase state to implement a nonlinear phase gate is that noise in a selected nonlinear quadrature should decrease below the level of classical states. A reduction of the variance in this nonlinear quadrature below the ground state of the ancilla, a type of nonlinear squeezing, is the resource embedded in these non-Gaussian states and a figure of merit for nonlinear quantum processes. Quantum optomechanics with levitating nanoparticles trapped in nonlinear optical potentials is a promising candidate to achieve such resources in a flexible way. We provide a scheme for reconstructing this figure of merit, which we call nonlinear squeezing, in standard linear quantum optomechanics, analysing the effects of mechanical decoherence processes on the reconstruction and show that all mechanical states which exhibit reduced noise in this nonlinear quadrature are nonclassical.

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Towards optomechanical quantum state reconstruction of mechanical motion

Cited by 59 publications

References 117 publications

Hybrid Systems for the Generation of Nonclassical Mechanical States via Quadratic Interactions

Hybrid Systems for the Generation of Nonclassical Mechanical States via Quadratic Interactions

Generation of mechanical interference fringes by multi-photon counting

Estimation of squeezing in a nonlinear quadrature of a mechanical oscillator

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