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arXiv:2209.06029

Single-laser feedback cooling of optomechanical resonators

Arvind Shankar Kumar, Joonas Nätkinniemi, Henri Lyyra, Juha T. Muhonen

Published Sep 13, 2022• 0 citations
arXivHTMLPDF

Abstract

Measurement-based control has emerged as an important technique to prepare mechanical resonators in pure quantum states for applications in quantum information processing and quantum sensing. Conventionally this has required two separate channels, one for probing the motion and another one acting back on the resonator. In this work, we analyze and experimentally demonstrate a technique of single-laser feedback cooling, where one laser is used for both probing and controlling the mechanical motion. We show using an analytical model and experiments that feedback cooling is feasible in this mode as long as certain stability requirements are fulfilled. Our results demonstrate that, in addition to being more experimentally feasible construction, the interference effects of the single-laser feedback can actually be used to enhance cooling at some parameter regimes.

DOI
10.48550/arxiv.2209.06029

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Abstract We theoretically investigate a cooling scheme assisted by a quantum well (QW) and coherent feedback within a hybrid optomechanical system. Although the exciton mode in the QW and the mechanical resonator (MR) are initially uncoupled, their interaction via the microcavity field leads to an indirect exciton-mode–mechanical-mode coupling. The coherent feedback loop is applied by feeding back a fraction of the output field of the cavity through a controllable beam splitter to the cavity’s input mirror. It is shown that the cooling capability is enhanced by effectively suppressing the Stokes process through coupling with the QW. Furthermore, the effect of the anti-Stokes process is enhanced through the application of the coherent feedback loop. This particular system configuration enables cooling of the mechanical resonator even in the unresolved sideband regime (USR). This study has some important guiding significance in the field of quantum information processing.
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A new method based on coherent feedback control theory is proposed to cool the optomechanical resonator. In this study, we focus on the weak-driving strong-coupling two-mode optomechanical system, which creates nonlinear coupling regime between cavity modes and the mechanical mode. By means of our design, two cavity resonators are coherently connected with each other, which constructs a closed quantum feedback loop. In the framework of SLH notation, we obtained the Hamiltonian and master equation of the two-mode optomechanical system. The numerical simulation shows that the method is efficient for cooling the mechanical resonators to the ground state.