Real-time synchronization feedbacks for single-atom frequency standards

Mazyar Mirrahimi; Pierre Rouchon

doi:10.1137/080726355

Real-time synchronization feedbacks for single-atom frequency standards

Research output: Contribution to journal › Article › peer-review

Abstract

Simple feedback loops, inspired from extremum seeking, are proposed to lock a probe frequency to the transition frequency of a single quantum system following quantum Monte-Carlo trajectories. Two specific quantum systems are addressed: a 2-level one, and a 3-level one that appears in coherence population trapping and optical pumping. For both systems, the feedback algorithm is shown to be convergent in the following sense: the probe frequency converges on average towards the system-transition one and its standard deviation can be made arbitrarily small. Closed-loop simulations illustrate robustness versus jump-detection efficiency and modeling errors.

Original language	English
Pages (from-to)	2820-2839
Number of pages	20
Journal	SIAM Journal on Control and Optimization
Volume	48
Issue number	4
DOIs	https://doi.org/10.1137/080726355
Publication status	Published - 1 Jan 2009
Externally published	Yes

Keywords

Extremum seeking
Feedback
Quantum Monte-Carlo trajectories
Quantum systems
Synchronization

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10.1137/080726355

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title = "Real-time synchronization feedbacks for single-atom frequency standards",

abstract = "Simple feedback loops, inspired from extremum seeking, are proposed to lock a probe frequency to the transition frequency of a single quantum system following quantum Monte-Carlo trajectories. Two specific quantum systems are addressed: a 2-level one, and a 3-level one that appears in coherence population trapping and optical pumping. For both systems, the feedback algorithm is shown to be convergent in the following sense: the probe frequency converges on average towards the system-transition one and its standard deviation can be made arbitrarily small. Closed-loop simulations illustrate robustness versus jump-detection efficiency and modeling errors.",

keywords = "Extremum seeking, Feedback, Quantum Monte-Carlo trajectories, Quantum systems, Synchronization",

author = "Mazyar Mirrahimi and Pierre Rouchon",

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AU - Rouchon, Pierre

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N2 - Simple feedback loops, inspired from extremum seeking, are proposed to lock a probe frequency to the transition frequency of a single quantum system following quantum Monte-Carlo trajectories. Two specific quantum systems are addressed: a 2-level one, and a 3-level one that appears in coherence population trapping and optical pumping. For both systems, the feedback algorithm is shown to be convergent in the following sense: the probe frequency converges on average towards the system-transition one and its standard deviation can be made arbitrarily small. Closed-loop simulations illustrate robustness versus jump-detection efficiency and modeling errors.

AB - Simple feedback loops, inspired from extremum seeking, are proposed to lock a probe frequency to the transition frequency of a single quantum system following quantum Monte-Carlo trajectories. Two specific quantum systems are addressed: a 2-level one, and a 3-level one that appears in coherence population trapping and optical pumping. For both systems, the feedback algorithm is shown to be convergent in the following sense: the probe frequency converges on average towards the system-transition one and its standard deviation can be made arbitrarily small. Closed-loop simulations illustrate robustness versus jump-detection efficiency and modeling errors.

KW - Extremum seeking

KW - Feedback

KW - Quantum Monte-Carlo trajectories

KW - Quantum systems

KW - Synchronization

U2 - 10.1137/080726355

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JF - SIAM Journal on Control and Optimization

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ER -

Real-time synchronization feedbacks for single-atom frequency standards

Abstract

Keywords

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