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We present a formulation of measurement-based feedback control of a single quantum particle in one spatial dimension. An arbitrary linear combination of the position and momentum of the particle is continuously monitored, and feedback…

Quantum Physics · Physics 2022-12-26 Amy Rouillard , Anirudh Reddy , Humairah Bassa , Shamik Maharaj , Lajos Diosi , Thomas Konrad

We propose an optimal protocol using phase-preserving quantum measurements and phase-dependent modulations of the trapping potential at parametric resonance to cool a quantum oscillator to an occupation number of less than one quantum. We…

Quantum Physics · Physics 2023-03-08 Sreenath K. Manikandan , Sofia Qvarfort

We revisit the problem of preparing a mechanical oscillator in the vicinity of its quantum-mechanical ground state by means of feedback cooling based on continuous optical detection of the oscillator position. In the parameter regime…

Quantum Physics · Physics 2016-08-18 Hojat Habibi , Emil Zeuthen , Majid Ghanaatshoar , Klemens Hammerer

In this paper, we derive a general master equation for continuous feedback based on arbitrary linear signals. This result is an extension of the Quantum Fokker-Planck Master Equation derived by Annby-Andersson et al (Phys. Rev. Lett. 129,…

Quantum Physics · Physics 2026-01-09 Guilherme de Sousa

Measurement and feedback control are essential features of quantum science, with applications ranging from quantum technology protocols to information-to-work conversion in quantum thermodynamics. Theoretical descriptions of feedback…

In real-time quantum feedback protocols, the record of a continuous measurement is used to stabilize a desired quantum state. Recent years have seen highly successful applications in a variety of well-isolated micro-systems, including…

Quantum Physics · Physics 2018-06-22 D. J. Wilson , V. Sudhir , N. Piro , R. Schilling , A. Ghadimi , T. J. Kippenberg

Measurement-based control, utilizing an active feedback loop, is a standard tool in technology. Feedback control is also emerging as a useful and fundamental tool in quantum technology and in related fundamental studies, where it can be…

Quantum Physics · Physics 2024-03-05 Cheng Wang , Louise Banniard , Laure Mercier de Lépinay , Mika A. Sillanpää

We present a formulation of feedback in quantum systems in which the best estimates of the dynamical variables are obtained continuously from the measurement record, and fed back to control the system. We apply this method to the problem of…

Quantum Physics · Physics 2009-10-31 A. C. Doherty , K. Jacobs

We study the cooling performance of optical-feedback controllers for open optical and mechanical resonators in the Linear Quadratic Gaussian setting of stochastic control theory. We utilize analysis and numerical optimization of closed-loop…

Quantum Physics · Physics 2018-11-19 Ryan Hamerly , Hideo Mabuchi

We consider the effects of experimental imperfections on the problem of estimation-based feedback control of a trapped particle under continuous position measurement. These limitations violate the assumption that the estimator (i.e. filter)…

Cooling the motion of a massive mechanical oscillator into its quantum ground state plays an essential role in observing macroscopic quantum effects in mechanical systems. Here we propose a measurement-based feedback cooling protocol in…

Quantum Physics · Physics 2022-12-20 Zhi-Yuan Fan , Hang Qian , Xuan Zuo , Jie Li

We model the cooling of open optical and optomechanical resonators via optical feedback in the Linear Quadratic Gaussian setting of stochastic control theory. We show that coherent feedback control schemes, in which the resonator is…

Quantum Physics · Physics 2018-11-19 Ryan Hamerly , Hideo Mabuchi

We introduce a state-based feedback law that stabilizes quantum states or subspaces associated with extremal values of a continuously monitored observable - a problem motivated by quantum cooling tasks. We then propose an output-based…

Quantum Physics · Physics 2026-03-09 Lorenzo Franceschetti , Francesco Ticozzi

We introduce a finite-time protocol that thermalizes a quantum harmonic oscillator, initially in its ground state, without requiring a macroscopic bath. The method uses a second oscillator as an effective environment and implements sudden…

Quantum Physics · Physics 2026-05-05 M. Harinarayanan , Karthik Rajeev

Traditional refrigeration is driven either by external force or an information-feedback mechanism. Surprisingly, the quantum measurement and collapse, which are generally detrimental, can also be used to power a cooling engine even without…

Recent experiments have demonstrated the ability to optically cool a macroscopic mechanical oscillator to its quantum ground state by means of dynamic backaction. Such experiments allow quantum mechanics to be tested with mesoscopic…

Mesoscale and Nanoscale Physics · Physics 2013-05-10 Jan Gieseler , Bradley Deutsch , Romain Quidant , Lukas Novotny

We demonstrate a new feedback algorithm to cool a single neutral atom trapped inside a standing-wave optical cavity. The algorithm is based on parametric modulation of the confining potential at twice the natural oscillation frequency of…

Quantum Physics · Physics 2018-05-23 C. Sames , C. Hamsen , H. Chibani , P. A. Altin , T. Wilk , G. Rempe

We use a quantum point contact (QPC) as a displacement transducer to measure and control the low-temperature thermal motion of a nearby micromechanical cantilever. The QPC is included in an active feedback loop designed to cool the…

Mesoscale and Nanoscale Physics · Physics 2012-09-26 M. Montinaro , A. Mehlin , H. S. Solanki , P. Peddibhotla , S. Mack , D. D. Awschalom , M. Poggio

We consider a possible route to ground state cooling of a levitated nanoparticle, magnetically trapped by a strong permanent magnet, using a combination of measurement and feedback. The trap frequency of this system is much lower than those…

Quantum Physics · Physics 2019-12-18 L. S. Walker , G. R. M. Robb , A. J. Daley

We introduce a general framework, based on collision models and discrete CP-maps, to describe on an equal footing coherent and measurement-based feedback control of quantum mechanical systems. We apply our framework to prominent tasks in…

Quantum Physics · Physics 2023-10-23 Alfred Harwood , Matteo Brunelli , Alessio Serafini
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