Define spin operators for numerical groundstate obtained by ED

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SUMMARY

The discussion focuses on defining spin operators for measuring spin components of ground states obtained through Exact Diagonalization (ED). The ground states are represented as vectors of doubles rather than integers, complicating the measurement process. The user seeks methods to redefine spin operators suitable for their code, exploring approaches like correlation functions and partition sums. A solution was ultimately found, indicating that the problem can be resolved with the right techniques.

PREREQUISITES
  • Understanding of Exact Diagonalization (ED) in quantum mechanics
  • Familiarity with spin operators and their mathematical representation
  • Knowledge of correlation functions in quantum statistical mechanics
  • Experience with Hamiltonian construction and eigenvector analysis
NEXT STEPS
  • Research methods for defining spin operators in quantum systems
  • Learn about correlation functions and their applications in quantum mechanics
  • Explore partition sums and their role in statistical mechanics
  • Investigate numerical techniques for manipulating eigenvectors in quantum simulations
USEFUL FOR

Quantum physicists, computational scientists, and anyone involved in numerical simulations of quantum systems seeking to measure spin components effectively.

woodydewer
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TL;DR
The ground state obtained by ED is not in a suitable representation and I am looking for a way to define spin operators working with that.
Hi,
I want to measure spin components of a ground state of some models. These ground states are obtained by ED. The states for constructing the Hamiltonian are integers representing spins in binary. As the ground state (and the other eigenvectors) are now not anymore in a suitable representation (just vectors with doubles as components instead of integers), I am looking for a way to define my spin operators to measure the components suitable for my code.

I tried rewriting as Correlation function or with the partition sum. Do you have any ideas?
 
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Hi, I could solve it. :)
 

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