Following collapse of the waveform

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SUMMARY

The discussion centers on the theoretical possibility of waveform reforming following its collapse, particularly in the context of entangled particles. It is established that states can be reformed if no irreversible changes occur, with specific reference to the outputs of a beamsplitter. Eberly's work is highlighted as a foundational resource, demonstrating how polarization analyzer loops can be utilized to explore Bell inequalities. Additionally, the concept of creating "Frankenstein" photons from polarization entangled photons is introduced, emphasizing the potential for these photons to violate Bell inequalities.

PREREQUISITES
  • Understanding of quantum mechanics principles, specifically waveform collapse.
  • Familiarity with entangled particles and their behavior.
  • Knowledge of beamsplitters and their role in quantum optics.
  • Basic comprehension of Bell inequalities and their significance in quantum theory.
NEXT STEPS
  • Research Eberly's work on polarization analyzer loops and their implications in quantum mechanics.
  • Study the concept of "Frankenstein" photons and their creation from polarization entangled photons.
  • Examine Quantum Eraser experiments and their findings related to waveform reforming.
  • Explore the mathematical foundations of Bell inequalities and their experimental violations.
USEFUL FOR

Students of quantum mechanics, physicists exploring quantum entanglement, and researchers interested in the implications of waveform collapse and reforming in quantum optics.

rroubaix
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A few new student questions: following collapse of the waveform, does the waveform ever reform? If so, and if entangled particles are involved, does the entangled twin reform as well? And if so, does this require forward progression in time, in other words, might the entangled twin decollapse in anticipation of its twin's decollapse? I've searched the archive, and found a thread that discusses this, but it seems to assume that it's accepted that waveforms may reform.
 
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rroubaix said:
A few new student questions: following collapse of the waveform, does the waveform ever reform? If so, and if entangled particles are involved, does the entangled twin reform as well? And if so, does this require forward progression in time, in other words, might the entangled twin decollapse in anticipation of its twin's decollapse? I've searched the archive, and found a thread that discusses this, but it seems to assume that it's accepted that waveforms may reform.

Welcome to PhysicsForums, rroubaix!

Theoretically, you can "reform" states when nothing irreversible has occurred. In practice, some states are easier to re-create than others. If you take the outputs of a beamsplitter, conceptually you can re-combine to end up with the original state. And that could be with an entangled partner.

Eberly discusses this:
http://www.optics.rochester.edu/~stroud/cqi/rochester/UR19.pdf
We employ an arrangement of polarization analyzer loops to derive several simple Bell inequalities
and then discuss the violation of one of them in light of quantum and classical interpretations of the data recorded.

Here is an paper I wrote which is based on Eberly's work:
http://www.drchinese.com/David/EntangledFrankensteinPhotonsA.pdf
Abstract: The H> and V> outputs of a Polarizing Beam Splitter can be combined to restore the original input superposition state, as long as no knowledge is obtained regarding the path taken through the PBS. Using this principle, it should be possible to create entangled photons from the identical H> and V> components of different polarization entangled photons. These “Frankenstein” photons will also be polarization entangled and should violate a Bell Inequality.

There are experiments in which observations are "erased", so you might look at some of the Quantum Eraser papers for some good treatments.
 

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