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

• URL: http://arxiv.org/abs/2410.10090v1
• Date: Mon, 14 Oct 2024 02:13:34 GMT
• Title: Sudden change in entanglement Hamiltonian: Phase diagram of an Ising entanglement Hamiltonian
• Authors: Zhe Wang, Siyi Yang, Bin-Bin Mao, Meng Cheng, Zheng Yan,
• Abstract summary: We study the phase diagram of a 1D Ising entanglement Hamiltonian as an example to clarify the controversy of the general relation between the entanglement Hamiltonian and original Hamiltonian.
• Score: 10.721377880670696
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

Related papers

• On the Bisognano-Wichmann entanglement Hamiltonian of nonrelativistic fermions [0.0]
  We study the ground-state entanglement Hamiltonian of free nonrelativistic fermions for semi-infinite domains in one dimension. We prove that the Bisognano-Wichmann form of the entanglement Hamiltonian becomes exact.
  arXiv  Detail & Related papers  (2024-10-21T18:55:23Z)
• Quantifying non-Hermiticity using single- and many-particle quantum properties [14.37149160708975]
  The non-Hermitian paradigm of quantum systems displays salient features drastically different from Hermitian counterparts. We propose a formalism that quantifies the (dis-)similarity of these right and left ensembles, for single- as well as many-particle quantum properties. Our findings can be instrumental in unveiling new exotic quantum phases of non-Hermitian quantum many-body systems.
  arXiv  Detail & Related papers  (2024-06-19T13:04:47Z)
• Learning Symmetric Hamiltonian [9.79122046962129]
  Hamiltonian Learning is a process of recovering system Hamiltonian from measurements. In this study, we investigate the problem of learning the symmetric Hamiltonian from its eigenstate.
  arXiv  Detail & Related papers  (2024-04-09T01:38:32Z)
• From reasonable postulates to generalised Hamiltonian systems [0.0]
  Hamiltonian mechanics describes the evolution of a system through its Hamiltonian. In both quantum and classical mechanics, Hamiltonian mechanics demands a precise relationship between time evolution and observable energy.
  arXiv  Detail & Related papers  (2024-02-29T07:50:51Z)
• Coherence generation with Hamiltonians [44.99833362998488]
  We explore methods to generate quantum coherence through unitary evolutions. This quantity is defined as the maximum derivative of coherence that can be achieved by a Hamiltonian. We identify the quantum states that lead to the largest coherence derivative induced by the Hamiltonian.
  arXiv  Detail & Related papers  (2024-02-27T15:06:40Z)
• Relevant long-range interaction of the entanglement Hamiltonian emerges from a short-range gapped system [4.669645851513904]
  We find the entanglement Hamiltonian (EH) is actually not closely similar to the original Hamiltonian on the virtual edge. The results violate the Mermin-Wagner theorem, which means there should be relevant long-range terms in the EH. It reveals that the Li-Haldane-Poilblanc conjecture ignores necessary corrections for the EH which may lead totally different physics.
  arXiv  Detail & Related papers  (2023-09-28T01:09:12Z)
• Recovery of a generic local Hamiltonian from a degenerate steady state [11.567029926262476]
  Hamiltonian Learning (HL) is essential for validating quantum systems in quantum computing. HL success depends on the Hamiltonian model and steady state. We analyze HL for a specific type of steady state composed of eigenstates with degenerate mixing weight.
  arXiv  Detail & Related papers  (2023-09-01T08:40:50Z)
• Exact solution of the two-axis two-spin Hamiltonian [13.019528663019488]
  Bethe ansatz solution of the two-axis two-spin Hamiltonian is derived based on the Jordan-Schwinger boson realization of the SU(2) algebra. It is shown that the solution of the Bethe ansatz equations can be obtained as zeros of the related extended Heine-Stieltjess.
  arXiv  Detail & Related papers  (2021-08-02T02:42:43Z)
• Bulk-edge correspondence in the Haldane phase of the bilinear-biquadratic spin-1 Hamiltonian [0.0]
  We show that the entanglement spectrum can be described in terms of two spins-1/2 behaving as the effective spins at the end of an open chain. In the case of non-contiguous partitions, we find that the entanglement Hamiltonian is given by the spin-1/2 Heisenberg Hamiltonian.
  arXiv  Detail & Related papers  (2020-11-10T23:12:40Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.