Optimal control for feedback cooling in cavityless levitated optomechanics
Optimal control for feedback cooling in cavityless levitated optomechanics
 
  We consider feedback cooling in a cavityless levitated optomechanics setup, and we investigate the possibility to improve the feedback implementation. We apply optimal control theory to derive the optimal feedback signal both for quadratic (parametric) and linear (electric) feedback. We numerically compare optimal feedback against the typical feedback implementation used for experiments. In order to do so, we implement a state estimation scheme that takes into account the modulation of the laser intensity. We show that such an implementation allows us to increase the feedback strength, leading to faster cooling rates and lower center-of-mass temperatures.
  
  
  
    
      Ferialdi, Luca
      
        fe7d1a2b-be44-4d3e-8723-8bc26986e9d3
      
     
  
    
      Setter, Ashley
      
        d368b8d0-849a-4ea2-a5a7-33a7b508bedb
      
     
  
    
      Toroš, Marko
      
        4f3aca77-9ce0-4bb4-8d13-b32480ccb823
      
     
  
    
      Timberlake, Chris
      
        4e5868c5-40c3-49e0-8a0e-f7e9f3a70bb6
      
     
  
    
      Ulbricht, Hendrik
      
        5060dd43-2dc1-47f8-9339-c1a26719527d
      
     
  
  
   
  
  
    
    
  
    
    
  
    
      3 July 2019
    
    
  
  
    
      Ferialdi, Luca
      
        fe7d1a2b-be44-4d3e-8723-8bc26986e9d3
      
     
  
    
      Setter, Ashley
      
        d368b8d0-849a-4ea2-a5a7-33a7b508bedb
      
     
  
    
      Toroš, Marko
      
        4f3aca77-9ce0-4bb4-8d13-b32480ccb823
      
     
  
    
      Timberlake, Chris
      
        4e5868c5-40c3-49e0-8a0e-f7e9f3a70bb6
      
     
  
    
      Ulbricht, Hendrik
      
        5060dd43-2dc1-47f8-9339-c1a26719527d
      
     
  
       
    
 
  
    
      
  
  
  
  
  
  
    Ferialdi, Luca, Setter, Ashley, Toroš, Marko, Timberlake, Chris and Ulbricht, Hendrik
  
  
  
  
   
    (2019)
  
  
    
    Optimal control for feedback cooling in cavityless levitated optomechanics.
  
  
  
  
    New Journal of Physics, 21, [073019].
  
   (doi:10.1088/1367-2630/ab2b69/meta). 
  
  
   
  
  
  
  
  
   
  
    
    
      
        
          Abstract
          We consider feedback cooling in a cavityless levitated optomechanics setup, and we investigate the possibility to improve the feedback implementation. We apply optimal control theory to derive the optimal feedback signal both for quadratic (parametric) and linear (electric) feedback. We numerically compare optimal feedback against the typical feedback implementation used for experiments. In order to do so, we implement a state estimation scheme that takes into account the modulation of the laser intensity. We show that such an implementation allows us to increase the feedback strength, leading to faster cooling rates and lower center-of-mass temperatures.
         
      
      
        
          
            
  
    Text
 Ferialdi+et+al_2019_New_J._Phys._10.1088_1367-2630_ab2b69
     - Accepted Manuscript
   
  
  
    
  
 
          
            
          
            
           
            
           
        
          
            
  
    Text
 Optimal control for feedback cooling in cavityless levitated optomechanics
     - Other
   
  
  
 
          
            
          
            
           
            
           
        
        
       
    
   
  
  
  More information
  
    
      Accepted/In Press date: 20 June 2019
 
    
      e-pub ahead of print date: 20 June 2019
 
    
      Published date: 3 July 2019
 
    
  
  
    
  
    
     
        Additional Information:
        arXiv is AM
      
    
  
    
  
    
  
    
  
    
  
    
  
    
  
  
  
    
  
  
        Identifiers
        Local EPrints ID: 431948
        URI: http://eprints.soton.ac.uk/id/eprint/431948
        
          
        
        
        
          ISSN: 1367-2630
        
        
          PURE UUID: 7c394792-d7e0-429a-8b82-7a4fbb9ea1b5
        
  
    
        
          
        
    
        
          
        
    
        
          
        
    
        
          
        
    
        
          
            
              
            
          
        
    
  
  Catalogue record
  Date deposited: 24 Jun 2019 16:30
  Last modified: 16 Mar 2024 03:58
  Export record
  
  
   Altmetrics
   
   
  
 
 
  
    
    
      Contributors
      
          
          Author:
          
            
            
              Luca Ferialdi
            
          
        
      
          
          Author:
          
            
            
              Ashley Setter
            
          
        
      
          
          Author:
          
            
            
              Marko Toroš
            
          
        
      
          
          Author:
          
            
            
              Chris Timberlake
            
          
        
      
        
      
      
      
    
  
   
  
    Download statistics
    
      Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.
      
      View more statistics