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Understandable Optimal Control and Cooling Optomechanical Systems Understandable Optimal Control and Cooling Optomechanical Systems

Understandable Optimal Control and Cooling Optomechanical Systems - PowerPoint Presentation

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Understandable Optimal Control and Cooling Optomechanical Systems - PPT Presentation

Shai Machnes Ulm University Safed 92012 Why does this work or sometimes doesnt The Model System a optical cavity modes Laser driving b mech modes Cavity is inherently dissipative ID: 756165

laser machnes cooling optimal machnes laser optimal cooling cavity phys rev algebra modes plenio system analytical 2012 driving sequence

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Slide1

Understandable Optimal Control and Cooling Optomechanical Systems

Shai Machnes

Ulm University

Safed

, 9/2012Slide2

Why does this work?

(or sometimes doesn’t)Slide3

The Model System

“a” - optical cavity modes

Laser driving

“b” - mech. modes

Cavity is inherently dissipative

(to allow driving).

substrateSlide4

The 3 steps

Analytical sub-optimal sequence at simplifying limit(e.g. coherent & impulsive)

Generalize with mechanized algebra(teach the computer to do operator algebra and BCH)

Numeric search for optimal sequence

Use analytical result as starting point

Gradually go beyond limitations of analytics

Incoherent system

Experimental constraints (via

Jacobians

“stack”)Slide5

Thank you

Phys. Rev. Lett. 108, 153601 (

2012),Pulsed Laser Cooling for Cavity-Optomechanical Resonators, S

. Machnes

, J. 

Cerrillo

, M.

Aspelmeyer

, W.

Wieczorek

, M. B.

Plenio

and A. Retzker 

Phys. Rev. A 84

, 022305 (2011),Comparing, optimizing, and benchmarking quantum-control algorithms in a unifying programming

frameworkS. Machnes, U. Sander, S. J. Glaser, P. de Fouquières, A. Gruslys, S. Schirmer, and T. Schulte-Herbrüggen, Phys. Rev. Lett. 104

, 183001 (2010), Superfast Laser Cooling, S. Machnes, M. B. Plenio, B. Reznik

, A. M. Steane, and A. Retzker,