Will 2 newly formed wave-packets be entangled?

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    Entangled
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Discussion Overview

The discussion revolves around the conditions under which two newly formed wave-packets, created in opposite directions, may be entangled. It explores theoretical scenarios and the implications of different methods of wave-packet creation.

Discussion Character

  • Exploratory, Debate/contested, Conceptual clarification

Main Points Raised

  • One participant suggests that the entanglement of wave-packets depends on their creation method, citing examples such as random electrons versus electron-positron pairs.
  • Another participant emphasizes that entanglement is not binary but exists on a spectrum, indicating varying degrees of entanglement.
  • There is a discussion about the alignment of sources and the physical processes involved in creating wave-packets, with a call for clearer descriptions of these processes.
  • A participant points out the need for a more precise description of how waves are emitted, criticizing the notion of a source "sending a wave."
  • Monochromatic X-ray emissions are mentioned as a potential method for creating wave-packets.

Areas of Agreement / Disagreement

Participants express differing views on the conditions for entanglement, indicating that multiple competing perspectives remain unresolved regarding the specifics of wave-packet creation and entanglement.

Contextual Notes

Limitations include the lack of clarity on the physical processes involved in wave-packet creation and the dependence on specific definitions of entanglement.

Adel Makram
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Suppose that we can create a pair of wave-packets at 2 places in opposite directions to each other. For example, from the origin at x=0, many waves of different frequencies are emitted in 2 opposite directions to form 2 wave-packets at x and -x where the maximum superposition occurs. Will those formed 2 packets be entangled?
 
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They may or may not be! Depends on how you create them.
Just two random electrons from a bunch of electrons in a photoelectric experiment? Unlikely!
An electron and a positron pair-producted from a photon? They surely are!

I also should mention that we have degrees of entanglement. So its not that they are either entangled or not, its how much they are entangled!
 
Shyan said:
They may or may not be! Depends on how you create them.
Many sources are aligned along y-direction and send waves in 2 opposite x-directions as in the attached image.
 

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Adel Makram said:
Many sources are aligned along y-direction and send waves in 2 opposite x-directions as in the attached image.
A source can't "send a wave." You need to describe an physical process.
 

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