Entangled states in the classical limit

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SUMMARY

This discussion centers on the nature of entangled states as they relate to classical limits in quantum mechanics (QM). Participants explore the concept that entanglement does not have a classical limit, emphasizing that entangled states, such as those produced by two photons from the same source, maintain their correlations regardless of classical interpretations. The conversation highlights the distinction between quantum entanglement and classical correlations, particularly in the context of conservation laws and the behavior of systems as Planck's constant (ħ) approaches zero.

PREREQUISITES
  • Understanding of quantum mechanics (QM) principles
  • Familiarity with entangled states and their properties
  • Knowledge of classical mechanics (CM) concepts
  • Basic grasp of Planck's constant (ħ) and its implications
NEXT STEPS
  • Research the implications of Planck's constant approaching zero in quantum systems
  • Study the differences between quantum entanglement and classical correlations
  • Explore examples of entangled photon systems and their measurements
  • Investigate conservation laws in both quantum and classical frameworks
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Physicists, quantum mechanics students, and researchers interested in the relationship between quantum entanglement and classical mechanics.

lalbatros
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Hello,

Are there any example of entangled systems suitable to show what entanglement becomes when the classical limits comes in?

Have you some idea or some reference that could explicitely illustrate the transition from QM to CM for entangled system?

Entanglement is often demystified by reference to statistical correlations in classical systems (typically by relation to conservation laws). However, in this respect, I have never seen the correspondance made clearly.

Michel
 
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as my limited understanding goes, there is no classical limit on entanglement. it is not like energy or paths, but it is just entangled state for example when two photons produced by the same source interact and separate. one you measure one photon, then the state of the other collapse too.
while classical limit is usually referred to action or energy, when hbar is approaching zero, all other non-classical path reduced to classical path.
 
Wow, what your talking about sound really interesting. Sorry, I don't have anything constructive to contribute to your question but I would like to hear what you already know about a classical comparison for entanglement.
 

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