Entanglement, correlations, and the energy gap in many-body quantum systems
arXiv:quant-ph/0308083 · doi:10.1103/PhysRevA.69.032303
Abstract
What correlations are present in the ground state of a many-body Hamiltonian? We study the relationship between ground-state correlations, especially entanglement, and the energy gap between the ground and first excited states. We prove several general inequalities which show quantitatively that ground-state correlations between systems not directly coupled by the Hamiltonian necessarily imply a small energy gap.
12 pages
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- Macroscopic Observables Detecting Genuine Multipartite Entanglement and Partial Inseparability in Many-Body Systems
- Quantum Phase Transitions in Anti-ferromagnetic Planar Cubic Lattices
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- Time Ordering in Kicked Qubits
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- Partial Multipartite Entanglement in the Matrix Product State Formalism
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