Events Calendar
Coherent Measuring Processes and the Differential Geometry of Measuring Instruments
Thursday September 15, 2022
3:30 pm
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Presenter:  Chris Jackson (Sandia) 

Series:  CQuIC Seminars  
Abstract: 
Noncommuting observables can be measured simultaneously weakly and therefore simultaneously continually.
The simplest such simultaneous continual observations culminate into the generalizedcoherentstate measurements. With the discovery of how the spincoherentstate measurement can be performed, I've had to develop the theory of simultaneous continual observation beyond the theory of population master equations (which appears to have dominated the discussion of quantum measurement for almost 50 years now.) Fundamentally, instruments have a physical reality independent of the states that may stimulate their senses. To bring forward this principle of instrument independence for continual observations, I designed what I’ve been calling the Krausoperator density of a principal unraveling. Under this design, continual observation translates to the mathematical problem of a Krausoperator density diffusing over a differentiable manifold. What I'll be showing you guys is how all this looks for the apparently simple problem of continually observing the canonical Q and P. There are two distinct ways to continually observe Q and P, related to a work by Barchielli (1982) and a work by Wiseman (1993). Both continual observations translate to a specific Krausoperator diffusion process in a 7dimensional manifold: 2 for the premeasurement phase space, 2 for the postmeasurement phase space, 1 for the operator rank, and 2 further renormalization dimensions. Explicitly solving for the Krausoperator density, there are two very remarkable features: 1  the Planck Distribution follows and thus demonstrates that simultaneous observation is a fundamental alternative to the usual quantization of the energy. 2  Renormalization Group equations appear to follow and thus the time of a simultaneous observation appears to be a fundamental alternative to the usual regularization schemes of perturbation theory. 

Host:  Carlton Caves  
Location:  PAIS2540, PAIS  