Related papers: On the Bisognano-Wichmann entanglement Hamiltonian of nonrelativistic fermions

On the Bisognano-Wichmann entanglement Hamiltonian of nonrelativistic fermions

URL: http://arxiv.org/abs/2410.16433v1
Date: Mon, 21 Oct 2024 18:55:23 GMT
Title: On the Bisognano-Wichmann entanglement Hamiltonian of nonrelativistic fermions
Authors: Viktor Eisler,
Abstract summary: 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.
Score: 0.0
License:
Abstract: We study the ground-state entanglement Hamiltonian of free nonrelativistic fermions for semi-infinite domains in one dimension. This is encoded in the two-point correlations projected onto the subsystem, an operator that commutes with the linear deformation of the physical Hamiltonian. The corresponding eigenfunctions are shown to possess the exact same structure both in the continuum as well as on the lattice. Namely, they are superpositions of the occupied single-particle modes of the total Hamiltonian, weighted by the inverse of their energy as measured from the Fermi level, and multiplied by an extra phase proportional to the integrated weight. Using this ansatz, we prove that the Bisognano-Wichmann form of the entanglement Hamiltonian becomes exact, up to a nonuniversal prefactor that depends on the dispersion for gapped chains.

Related papers

Entanglement Hamiltonian for inhomogeneous free fermions [0.0]
We study the entanglement Hamiltonian for the ground state of one-dimensional free fermions in the presence of an inhomogeneous chemical potential. It is shown that, for both models, conformal field theory predicts a Bisognano-Wichmann form for the entangement Hamiltonian of a half-infinite system.
arXiv Detail & Related papers (2024-03-21T18:13:10Z)
Entanglement Hamiltonian of a nonrelativistic Fermi gas [0.0]
We study the entanglement Hamiltonian for a spherical domain in the ground state of a nonrelativistic free-fermion gas in arbitrary dimensions. We show that the entanglement spectrum in each sector is identical to that of a hopping chain in a linear potential, with the angular momentum playing the role of the subsystem boundary.
arXiv Detail & Related papers (2023-11-27T22:27:56Z)
Finite temperature negativity Hamiltonians of the massless Dirac fermion [0.0]
We consider as a genuine example of a mixed state the one-dimensional massless Dirac fermions in a system at finite temperature and size. The structure of the corresponding negativity Hamiltonian resembles the one for the entanglement Hamiltonian in the same geometry. We conjecture an exact expression for the negativity Hamiltonian associated to the twisted partial transpose.
arXiv Detail & Related papers (2023-04-19T18:10:51Z)
Measurement phase transitions in the no-click limit as quantum phase transitions of a non-hermitean vacuum [77.34726150561087]
We study phase transitions occurring in the stationary state of the dynamics of integrable many-body non-Hermitian Hamiltonians. We observe that the entanglement phase transitions occurring in the stationary state have the same nature as that occurring in the vacuum of the non-hermitian Hamiltonian.
arXiv Detail & Related papers (2023-01-18T09:26:02Z)
Entanglement and negativity Hamiltonians for the massless Dirac field on the half line [0.0]
We study the ground-state entanglement Hamiltonian of several disjoint intervals for the massless Dirac fermion on the half-line. We find that the negativity Hamiltonian inherits the structure of the corresponding entanglement Hamiltonian.
arXiv Detail & Related papers (2022-10-21T17:09:31Z)
Quantum vibrational mode in a cavity confining a massless spinor field [91.3755431537592]
We analyse the reaction of a massless (1+1)-dimensional spinor field to the harmonic motion of one cavity wall. We demonstrate that the system is able to convert bosons into fermion pairs at the lowest perturbative order.
arXiv Detail & Related papers (2022-09-12T08:21:12Z)
Regularized Zero-Range Hamiltonian for a Bose Gas with an Impurity [77.34726150561087]
We study the Hamiltonian for a system of N identical bosons interacting with an impurity. We introduce a three-body force acting at short distances. The effect of this force is to reduce to zero the strength of the zero-range interaction between two particles.
arXiv Detail & Related papers (2022-02-25T15:34:06Z)
The Negativity Hamiltonian: An operator characterization of mixed-state entanglement [0.0]
We study the structure of the negativity Hamiltonian for fermionic conformal field theories and a free fermion chain. In both cases, we show that the negativity Hamiltonian assumes a quasi-local functional form, that is captured by simple functional relations.
arXiv Detail & Related papers (2022-01-11T15:08:41Z)
Spectrum of localized states in fermionic chains with defect and adiabatic charge pumping [68.8204255655161]
We study the localized states of a generic quadratic fermionic chain with finite-range couplings. We analyze the robustness of the connection between bands against perturbations of the Hamiltonian.
arXiv Detail & Related papers (2021-07-20T18:44:06Z)
Entanglement Entropy of Non-Hermitian Free Fermions [59.54862183456067]
We study the entanglement properties of non-Hermitian free fermionic models with translation symmetry. Our results show that the entanglement entropy has a logarithmic correction to the area law in both one-dimensional and two-dimensional systems.
arXiv Detail & Related papers (2021-05-20T14:46:09Z)
Models of zero-range interaction for the bosonic trimer at unitarity [91.3755431537592]
We present the construction of quantum Hamiltonians for a three-body system consisting of identical bosons mutually coupled by a two-body interaction of zero range. For a large part of the presentation, infinite scattering length will be considered.
arXiv Detail & Related papers (2020-06-03T17:54:43Z)

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