Can Entropy of Two-Level Particles Predict Fringe Visibility?

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SUMMARY

This discussion centers on the relationship between the entropy of two-level particles and fringe visibility in quantum mechanics. The user describes a pair of two-level particles represented by a unitary vector and calculates the density matrix after tracing one particle. They inquire whether the calculated entropy can predict fringe visibility, defined as (Imax-Imin)/(Imax+Imin) or visibility = amplitude/average. The conversation seeks clarification on deriving fringe visibility from the density matrix or the tensor product vector in Hilbert spaces.

PREREQUISITES
  • Understanding of quantum mechanics principles, specifically two-level systems.
  • Familiarity with density matrices and their calculations.
  • Knowledge of fringe visibility and its mathematical definitions.
  • Basic concepts of Hilbert spaces and tensor products in quantum theory.
NEXT STEPS
  • Study the derivation of fringe visibility from quantum states and density matrices.
  • Explore the application of the tensor product in quantum mechanics, particularly in two-level systems.
  • Research quantum entropy and its implications in predicting observable phenomena.
  • Read "Quantum Mechanics: Concepts and Applications" by Nouredine Zettili for a comprehensive understanding of these topics.
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Quantum physicists, researchers in quantum information theory, and students studying advanced quantum mechanics concepts.

Heidi
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i consider a pair of two level particles which can be up or down. this pair is described in the
tensor product by the unitary vector (cos(\theta) (du + ud) + sin(\theta) (dd + u)) /\sqrt 2
i take its density matrix , trace it on one of the two particles and find the density matrix
of each one. And i calculate its entropy. Bob receive it and use the two slits device.
I wonder if i can deduce the fringe visibility on the screen from the calculated entropy.
thank you for your help.
 
Physics news on Phys.org
Here
https://www.researchgate.net/post/How_can_I_measure_the_contrast_of_a_fringe_pattern
some one recalls the definition of fringe visibility
(Imax-Imin)/(Imax+Imin)
Anothe one writes
visibility = amplitude/average
where average of the fringes is the sum of the intensities (or powers) of the two interfering waves
Could you explain that?
 
Could anyone tell me if the fringe visibility can be found from the
density matrix or from the vector in the tensor product of Hilbert spaces? Is there a book or a link about this subject?
thanks.
 

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