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Open Quantum Systems Decoherence Quantum Simulation Entanglement Theory Quantum Correlations

Sudden change in entanglement Hamiltonian: Phase diagram of an Ising entanglement Hamiltonian

arXiv
Authors: Zhe Wang, Siyi Yang, Bin-Bin Mao, Meng Cheng, Zheng Yan

Year

2024

Paper ID

38166

Status

Preprint

Abstract Read

~2 min

Abstract Words

96

Citations

N/A

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.

Why This Paper Matters

  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
  • It adds a 2024 reference point for readers tracking recent quantum research.
  • The form of the entanglement Hamiltonian varies with the parameters of the original system.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2410.10090 [2] arXiv https://arxiv.org/abs/2410.10090 [3] Publisher https://arxiv.org/abs/2410.10090

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