Corpus ID: 218869927

Decomposition of symmetric separable states and ground state energy of bosonic systems

  title={Decomposition of symmetric separable states and ground state energy of bosonic systems},
  author={S. Weis},
  journal={arXiv: Quantum Physics},
  • S. Weis
  • Published 2020
  • Physics, Mathematics
  • arXiv: Quantum Physics
We prove that every symmetric separable state admits a convex decomposition into symmetric pure product states. The same proof shows that every antisymmetric state is entangled. We are aware that the assertions are well known. Here we focus on convex geometry, which is more basic than the algebra of the problem. The decomposition sheds light on numerical ranges useful to study ground state problems of infinite bosonic systems. 


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