Engineering Superposition States and Tailored Probes for Nanoresonators via Open-Loop Control

Jacobs, Kurt; Tian, Lin; Finn, Justin

doi:10.1103/physrevlett.102.057208

Cited by 41 publications

(46 citation statements)

References 36 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In particular, we can consider systems consisting of nano-mechanical oscillators coupled to superconducting qubits operating in the charge regime, which have been the center of an extensive experimental and theoretical interest in the last ten years [31]. While the oscillators would embody the bosonic modes onto which we encode the state of our CV system, the coupling with the superconducting qubit can be tuned so as to effectively engineer an ECS state of the mechanical systems and realize both the displacement operation and non-linearities of the Kerr-like form, thus potentially providing the whole toolbox needed in our proposal [32]. Alternatively, we can use coupled superconducting coplanar resonators or a bimodal resonator with an embedded charge qubit [33], which effectively mimick the same sort of situation described above and have the potential to implement the very same type of effective interactions.…”

Section: Discussionmentioning

confidence: 99%

Testing quantum contextuality of continuous-variable states

2011

View full text Add to dashboard Cite

We investigate the violation of non-contextuality by a class of continuous variable states, including variations of entangled coherent states (ECS's) and a two-mode continuous superposition of coherent states. We generalise the Kochen-Specker (KS) inequality discussed in A. Cabello, Phys. Rev. Lett. 101, 210401 (2008) by using effective bidimensional observables implemented through physical operations acting on continuous variable states, in a way similar to an approach to the falsification of Bell-CHSH inequalities put forward recently. We test for state-independent violation of KS inequalities under variable degrees of state entanglement and mixedness. We then demonstrate theoretically the violation of a KS inequality for any two-mode state by using pseudo-spin observables and a generalized quasi-probability function.

show abstract

Section: Discussionmentioning

confidence: 99%

Testing quantum contextuality of continuous-variable states

2011

View full text Add to dashboard Cite

show abstract

“…In principle, they allow quantum nondemolition (QND) measurements of energy and thus the possibility of monitoring quantum jumps in a macroscopic system [1,9]. They also offer the prospect of observing phonon quantum shot noise [10], nonlinear OMIT [11,12], and the preparation of macroscopic nonclassical states [13]. To achieve a nonlinear interaction one can use optical means, which require strong single-photon coupling to the mechanical system [11,12] but are a considerable experimental challenge.…”

mentioning

confidence: 99%

Nonlinear Dynamics and Strong Cavity Cooling of Levitated Nanoparticles

et al. 2016

View full text Add to dashboard Cite

Optomechanical systems explore and exploit the coupling between light and the mechanical motion of matter. A nonlinear coupling offers access to rich new physics, in both the quantum and classical regimes. We investigate a dynamic, as opposed to the usually studied static, nonlinear optomechanical system, comprising of a nanosphere levitated and cooled in a hybrid electro-optical trap. An optical cavity offers readout of both linear-in-position and quadratic-in-position (nonlinear) light-matter coupling, whilst simultaneously cooling the nanosphere to millikelvin temperatures for indefinite periods of time in high vacuum. We observe cooling of the linear and non-linear motion, leading to a 10 5 fold reduction in phonon number np, attaining final occupancies of np = 100 − 1000. This work puts cavity cooling of a levitated object to the quantum ground-state firmly within reach.Cavity optomechanics, the cooling and coherent manipulation of mechanical oscillators using optical cavities, has undergone rapid progress in recent years [1], with many experimental milestones realized. These include cooling to the quantum level [2,3], optomechanically induced transparency (OMIT) [4], and the transduction [5][6][7] and squeezing [8] of light. These important processes are due to a linear light-matter interaction; linear in both the position of the oscillatorx and the amplitude of the optical fieldâ.Nonlinear optomechanical interactions open up a new range of applications which are so far largely unexplored. In principle, they allow quantum nondemolition (QND) measurements of energy and thus the possibility of monitoring quantum jumps in a macroscopic system [1,9]. They also offer the prospect of observing phonon quantum shot noise [10], nonlinear OMIT [11,12], and the preparation of macroscopic nonclassical states [13]. To achieve a nonlinear interaction one can use optical means, which require strong single-photon coupling to the mechanical system [11,12] but are a considerable experimental challenge. Nonlinearities can also arise from spatial, mechanical effects, by engineering, for example, a light-matter interaction of the form (â+â † )(G 1x +G 2x 2 ). Previous studies investigated the static shift in the cavity resonant frequency [9,14,15] or the quadratic optical spring effect [15] arising from a nonlinear coupling. However, these studies identified the problem of a residual linear G 1 contribution to the coupling. Not only can G 1 allow unwanted back-action, but a large G 2 1 contribution (e.g. [14]) can mask the signatures of true nonlinear G 2 coupling.In this work, we study a nanosphere levitated in a hybrid system formed from a Paul trap and an optical cavity [16] as shown in fig 1. The output of the cavity is used to access the linear and nonlinear dynamics of the particle. We are able to tune the G 1 : G 2 ratio to reach G 2 G 1 , isolating the true nonlinear dynamics. Further, due to the dynamic nature of this experiment, we are able to observe the cooling, in time, of the nonlinear contribution to motion. To ...

show abstract

“…This is similar to the quantum measurement strategy given in Ref. [92] to detect the square of the normalized position operator of a nanomechanical resonator. The charge qubit on the right plays the same role as in Sec.…”

Section: Controllable Fourth-order Nonlinear Dynamicsmentioning

confidence: 78%

Quantum Coherent Nonlinear Feedback With Applications to Quantum Optics on Chip

Zhang

Liu

et al. 2012

IEEE Trans. Automat. Contr.

View full text Add to dashboard Cite

Abstract-In the control of classical mechanical systems, feedback has been applied to the generation of desired nonlinear dynamics, e.g., in chaos control. However, how much this can be done is still an open problem in quantum mechanical systems. This paper presents a scheme of enhancing nonlinear quantum effects via the recently developed coherent feedback techniques, which can be shown to outperform the measurementbased quantum feedback scheme that can only generate pseudononlinear quantum effects. Apart from the advantages of our method, an unsolved problem is that the decoherence rate is also increased by the quantum amplifier, which may be solved by introducing, e.g., an integral device or an nonlinear quantum amplifier. Such a proposal is demonstrated via two application examples in quantum optics on chip. In the first example, we show that nonlinear Kerr effect can be generated and amplified to be comparable with the linear effect in a transmission line resonator (TLR). In the second example, we show that by tuning the gains of the quantum amplifiers in a TLR coherent feedback network, the resulting nonlinear effects can generate and manipulate nonGaussian "light" (microwave field) which exhibits fully quantum sub-Poisson photoncount statistics and photon antibunching phenomenon. The scheme opens up broad applications in engineering nonlinear quantum optics on chip. Particularly, in this study, the concept of feedback nonlinearization which is very useful for quantum feedback control systems is introduced. This is in contrast to the feedback linearization concept used in classical nonlinear feedback control systems.Index Terms-Feedback nonlinearization, quantum coherent feedback control, nonlinear quantum optics, on-chip quantum optics, quantum control.

show abstract

Engineering Superposition States and Tailored Probes for Nanoresonators via Open-Loop Control

Cited by 41 publications

References 36 publications

Testing quantum contextuality of continuous-variable states

Testing quantum contextuality of continuous-variable states

Nonlinear Dynamics and Strong Cavity Cooling of Levitated Nanoparticles

Quantum Coherent Nonlinear Feedback With Applications to Quantum Optics on Chip

Contact Info

Product

Resources

About