Knowledge of the superposition of states

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SUMMARY

The discussion centers on the possibility of knowing the superposition of quantum states without collapsing them, specifically referencing the Delft and Stony Brook experiments. These experiments demonstrated that by measuring non-commuting observables, such as the energy gap in superconducting junctions, it is feasible to observe superposition. The SQUID experiments confirmed that supercurrents can flow in both directions simultaneously, a crucial aspect for detecting superposition. Additionally, the double-slit experiment illustrates that interference patterns arise only when a photon traverses both paths, reinforcing the principles of quantum mechanics.

PREREQUISITES
  • Understanding of quantum mechanics principles
  • Familiarity with non-commuting observables
  • Knowledge of superconducting junctions and SQUID technology
  • Basic comprehension of the double-slit experiment
NEXT STEPS
  • Research the implications of non-commuting observables in quantum mechanics
  • Study the specifics of the SQUID experiments conducted at Stony Brook and Delft
  • Explore Tony Leggett's review on quantum superposition and Schrödinger Cat states
  • Investigate the mathematical framework behind the double-slit experiment and its interference patterns
USEFUL FOR

Physicists, quantum mechanics students, researchers in superconductivity, and anyone interested in the foundational concepts of quantum superposition and measurement theory.

Gerinski
Is it completely impossible, even in principle, that eventually there can be a device by which we could know about the superposition of states without collapsing it?
For example, being able to know that an atom is in a 30% probability of being unexcited and a 70% probability of being excited, without actually collapsing it in either of both states?
 
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But there ARE already!

All you need to do is measure a non-commuting observable. That's what the Delft and Stony Brook experiment did, by measuring the energy gap instead of the "current directions" in a superconducting junction.

From a previous thread:

ZapperZ said:
The SQUID experiments conducted recently at Stony Brook[1] and at Delft[2] CLEARLY showed a case where the supercurrent was flowing in BOTH DIRECTIONS simultaneously. It is the ONLY means to attain the two separate states. If the supercurrent is flowing either in one direction OR the other, the effect will NOT be detected.

The same can be said about a 2-slit experiment. It is a superposition of the path through BOTH slits simultaneously. This is the only means to get the interference pattern, implicating that a single photon is interfering with itself. A photon that goes through EITHER one slit or the other will NOT produce the identical interference pattern.

I have mentioned this reference before, but I highly recommend a topical review on this issue by Tony Leggett.[3] There is a huge, substantial but subtle issue that is involved here when discussing the Schrödinger Cat-type states. One cannot fully understand and appreciate QM without knowing and understanding the issues surrounding quantum superposition. When Feynman stated that when you understand the double-slit, you'll understand QM, this is exactly the principle he was referring to!

Zz.

[1] J.R. Friedman et al., Nature v.406, p.43 (2000).
[2] C.H. van der Wal et al., Science v.290, p.773 (2000).
[3] A.J. Leggett J. Phys: Cond. Matt. v.14, p.415 (2002).
 
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