How can I construct singlet, triplet, and more with S=1 ions?

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SUMMARY

This discussion focuses on constructing quantum states such as singlets and triplets using two S=1 ions. The participant has successfully created singlet and triplet states with S=1/2 particles and seeks to generalize this to S=1 systems. The conversation highlights the importance of understanding Clebsch-Gordan coefficients as a foundational tool for constructing multi-particle quantum states.

PREREQUISITES
  • Understanding of quantum mechanics principles
  • Familiarity with S=1 and S=1/2 particle systems
  • Knowledge of Clebsch-Gordan coefficients
  • Basic concepts of quantum state construction
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  • Research Clebsch-Gordan coefficients in detail
  • Explore quantum state construction techniques for multi-particle systems
  • Study the properties of S=1 ions and their quantum states
  • Investigate applications of singlet and triplet states in quantum computing
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Quantum physicists, graduate students in quantum mechanics, and researchers interested in multi-particle quantum systems and their applications.

eastblue
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I've learned how to construct singlet and triplet with two S=1/2 particles, i.e., electrons. How can I generalize it to system with two S=1 ions? Furthermore, I wonder what is the general principle to make a quantum entity with n-particle S=m systems. Thank you in advance.
 
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This is a quite broad topic and it is a bit vague on which level you want the response. I suggest looking up Clebsch-Gordan coefficients on Wikipedia or similar and ask if you have particular questions.
 

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