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

• URL: http://arxiv.org/abs/2005.11607v3
• Date: Sun, 2 May 2021 10:05:54 GMT
• Title: Decomposition of symmetric separable states and ground state energy of bosonic systems
• Authors: Stephan Weis
• Abstract summary: We prove that every symmetric separable state admits a convex decomposition into symmetric pure product states. We discuss the decomposition in the context of numerical ranges and ground state problems of infinite bosonic systems.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We prove that every symmetric separable state admits a convex decomposition into symmetric pure product states. While the result is not new in itself, here we focus on convex geometry. We discuss the decomposition in the context of numerical ranges and ground state problems of infinite bosonic systems.

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