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Sudden change in entanglement Hamiltonian: Phase diagram of an Ising entanglement Hamiltonian
- Publication Year :
- 2024
-
Abstract
- The form of the entanglement Hamiltonian varies with the parameters of the original system. Whether there is a singularity is the key problem for demonstrating/negating the universality of the relation between the entanglement spectrum and edge energy spectrum. We carefully study the phase diagram of a 1D Ising entanglement Hamiltonian as an example to clarify the long-standing controversy of the general relation between the entanglement Hamiltonian and original Hamiltonian. Interestingly, even if the singularities indeed exist, the Li-Haldane-Poilblanc conjecture, i.e., the general relation between the entanglement spectrum and edge energy spectrum, seemingly still holds.<br />Comment: 13 pages, 14 figures
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2410.10090
- Document Type :
- Working Paper