Quantum Manipulation Of A Two-level Mechanical System

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Salvatore Chiavazzo¹, Anders Søndberg Sørensen², Oleksandr Kyriienko¹, and Luca Dellantonio^1,3,4

¹Department of Physics and Astronomy, University of Exeter, Exeter, Devon EX4 4QL, UK
²Center for Hybrid Quantum Networks (Hy-Q), Niels Bohr Institute, University of Copenhagen, Blegdamsvej 17, DK-2100 Copenhagen Ø, Denmark
³Institute for Quantum Computing, University of Waterloo, Waterloo, Ontario, Canada, N2L 3G1
⁴Department of Physics & Astronomy, University of Waterloo, Waterloo, Ontario, Canada, N2L 3G1

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Abstract

We consider a nonlinearly coupled electromechanical system, and develop a quantitative theory for two-phonon cooling. In the presence of two-phonon cooling, the mechanical Hilbert space is effectively reduced to its ground and first excited states, allowing for quantum operations at the level of individual phonons and preparing nonclassical mechanical states with negative Wigner functions. We propose a scheme for performing arbitrary Bloch sphere rotations, and derive the fidelity in the specific case of a $pi$-pulse. We characterise detrimental processes that reduce the coherence in the system, and demonstrate that our scheme can be implemented in state-of-the-art electromechanical devices.

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Featured image: Circuit modelling the physical system. The mechanical membrane is driven by an input signal $hat{V}_{rm{in}}$, which is finely tuned to allow the two-phonon cooling. $R_{rm 0}$ and $L_{rm 0}$ are regular resistance and inductunce of the ciruit.

Popular summary

In this work we show how to perform a two-phonon cooling with micro-mechanical membranes. This cooling is a second-order process acting on two excitation-quanta per time, ultimately leading to protected 2-level state. Finally, we introduce possible procedures to correctly manipulate the state, demonstrating its use as a 2-level system.

► BibTeX data

@article{Chiavazzo2023quantummanipulation, doi = {10.22331/q-2023-03-09-943}, url = {https://doi.org/10.22331/q-2023-03-09-943}, title = {Quantum manipulation of a two-level mechanical system}, author = {Chiavazzo, Salvatore and S{o{}}rensen, Anders S{o{}}ndberg and Kyriienko, Oleksandr and Dellantonio, Luca}, journal = {{Quantum}}, issn = {2521-327X}, publisher = {{Verein zur F{“{o}}rderung des Open Access Publizierens in den Quantenwissenschaften}}, volume = {7}, pages = {943}, month = mar, year = {2023}<br /> }

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Cited by

[1] Vincent Dumont, Hoi-Kwan Lau, Aashish A. Clerk, and Jack C. Sankey, “Asymmetry-Based Quantum Backaction Suppression in Quadratic Optomechanics”, Physical Review Letters 129 6, 063604 (2022).

[2] James M. L. Miller, Ariosto Gomez-Franco, Dongsuk D. Shin, Hyun-Keun Kwon, and Thomas W. Kenny, “Amplitude stabilization of micromechanical oscillators using engineered nonlinearity”, Physical Review Research 3 3, 033268 (2021).

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