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2015

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“…One important and long-standing question concerns the existence of the fingerprints of a QPT on higher excited states (i.e., states with finite energy density with respect to the ground state). It is known that QPT has definitive signatures in the ground-state (and low-lying states close to it), as reflected in certain ground-state properties like the derivative of ground-state entanglement (concurrence) 5 , the ground-state fidelity susceptibility (see, e.g., 6 7 8 9 10 11 ) or scaling of ground-state entanglement entropy at the critical point(see, e.g., 12 13 14 ). For a physical (local) Hamiltonian, it is not unexpected for the states moderately close to the ground state (with vanishing energy density) to retain such direct mark of the singularity on them.…”

mentioning

confidence: 99%

“…One important and long-standing question concerns the existence of the fingerprints of a QPT on higher excited states (i.e., states with finite energy density with respect to the ground state). It is known that QPT has definitive signatures in the ground-state (and low-lying states close to it), as reflected in certain ground-state properties like the derivative of ground-state entanglement (concurrence) 5 , the ground-state fidelity susceptibility (see, e.g., 6 7 8 9 10 11 ) or scaling of ground-state entanglement entropy at the critical point(see, e.g., 12 13 14 ). For a physical (local) Hamiltonian, it is not unexpected for the states moderately close to the ground state (with vanishing energy density) to retain such direct mark of the singularity on them.…”

mentioning

confidence: 99%