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This study investigates the entanglement properties of disordered free fermion systems undergoing an Anderson phase transition from a delocalized to a localized phase. The entanglement entropy is employed to quantify the degree of…

强关联电子 · 物理学 2023-09-26 Mohammad Pouranvari

We study entanglement Hamiltonian (EH) associated with the reduced density matrix of free fermion models in delocalized-localized Anderson phase transition. We show numerically that the structure of the EH matrix differentiates the…

强关联电子 · 物理学 2019-11-12 Mohammad Pouranvari , Jahanfar Abouie

We study the entanglement Hamiltonian for finite intervals in infinite quantum chains for two different free-particle systems: coupled harmonic oscillators and fermionic hopping models with dimerization. Working in the ground state, the…

统计力学 · 物理学 2020-10-20 Viktor Eisler , Giuseppe Di Giulio , Erik Tonni , Ingo Peschel

We study the fractal properties of single-particle eigen-modes of entanglement Hamiltonian in free fermion models. One of these modes that has the highest entanglement information and thus called maximally entangled mode (MEM) is specially…

强关联电子 · 物理学 2019-04-30 Mohammad Pouranvari

The properties of the low-lying eigenvalues of the entanglement Hamiltonian and their relation to the localization length of disordered interacting one-dimensional many-particle system is studied. The average of the first entanglement…

介观与纳米尺度物理 · 物理学 2018-03-14 Richard Berkovits

Sensitivity of entanglement Hamiltonian spectrum to boundary conditions is considered as a phase detection parameter for delocalized-localized phase transition. By employing one-dimensional models that undergo delocalized-localized phase…

强关联电子 · 物理学 2017-07-25 Mohammad Pouranvari , Afshin Montakhab

We study the entanglement Hamiltonian for free-fermion chains with a particular form of inhomogeneity. The hopping amplitudes and chemical potentials are chosen such that the single-particle eigenstates are related to discrete orthogonal…

统计力学 · 物理学 2025-11-04 Pierre-Antoine Bernard , Riccarda Bonsignori , Viktor Eisler , Gilles Parez , Luc Vinet

We calculate the entanglement entropy of strongly correlated low-dimensional fermions in metallic, superfluid and antiferromagnetic insulating phases. The entanglement entropy reflects the degrees of freedom available in each phase for…

强关联电子 · 物理学 2009-11-11 V. V. França , K. Capelle

We study the entanglement Hamiltonian for fermionic hopping models on rings and open chains and determine single-particle spectra, eigenfunctions and the form in real space. For the chain, we find a commuting operator as for the ring and…

统计力学 · 物理学 2018-10-16 Viktor Eisler , Ingo Peschel

Recent numerical advances in the field of strongly correlated electron systems allow the calculation of the entanglement spectrum and entropies for interacting fermionic systems. An explicit determination of the entanglement (modular)…

强关联电子 · 物理学 2018-11-16 Francesco Parisen Toldin , Fakher F. Assaad

We study the behavior of bipartite entanglement at fixed von Neumann entropy. We look at the distribution of the entanglement spectrum, that is the eigenvalues of the reduced density matrix of a quantum system in a pure state. We report the…

量子物理 · 物理学 2013-05-29 Paolo Facchi , Giuseppe Florio , Giorgio Parisi , Saverio Pascazio , Kazuya Yuasa

Entanglement related properties work as nice fingerprint of the quantum many-body wave function. However, those of fermionic models are hard to evaluate in standard numerical methods because they suffer from finite size effects. We show…

强关联电子 · 物理学 2020-11-04 Xavier Plat , Chisa Hotta

Single-particle entanglement entropy (SPEE) is calculated for entanglement Hamiltonian eigen-mode in a one-dimensional free fermion model that undergoes a delocalized-localized phase transition. In this numerical study, we show that SPEE of…

强关联电子 · 物理学 2019-11-14 Mohammad Pouranvari

We study a Lindbladian generalization of the Anderson model of localization that describes disordered free fermions coupled to a disordered environment. From finite size scaling of both eigenvalue statistics and participation ratio, we…

无序系统与神经网络 · 物理学 2025-01-30 Foster Thompson , Yi Huang , Alex Kamenev

We numerically study the evolution of spectral correlations in the entanglement Hamiltonian (EH) of non-interacting fermions in the Aubry-Andr\'e-Harper (AAH) model. We analyze the time evolution of the EH spectrum in a nonequilibrium…

无序系统与神经网络 · 物理学 2021-11-30 Aamna Ahmed , Nilanjan Roy , Auditya Sharma

We consider the entanglement properties of free fermions in one dimension and review an approach which relates the problem to the solution of a certain differential equation. The single-particle eigenfunctions of the entanglement…

统计力学 · 物理学 2015-06-15 Viktor Eisler , Ingo Peschel

We study the properties of the entanglement spectrum in gapped non-interacting non-Hermitian systems, and its relation to the topological properties of the system Hamiltonian. Two different families of entanglement Hamiltonians can be…

介观与纳米尺度物理 · 物理学 2020-01-06 Loïc Herviou , Nicolas Regnault , Jens H. Bardarson

We investigate the dynamics of the entanglement Hamiltonian in a system of one-dimensional free fermions, following a local joining quench of two initially disconnected half-chains in their ground states. Applying techniques of conformal…

高能物理 - 理论 · 物理学 2025-08-28 Riccarda Bonsignori , Viktor Eisler

We numerically study the entanglement dynamics of free fermions on a cubic lattice with potential disorder following a quantum quench. We focus, in particular, on the metal-insulator transition at a critical disorder strength and compare…

无序系统与神经网络 · 物理学 2020-11-20 Y. Zhao , D. Feng , Y. Hu , S. Guo , J. Sirker

We study the many-body localization problem in the non-abelian SU(2)-invariant random antiferromagnetic exchange model in 1D. Exact and sparse matrix diagonalization methods are used to calculate eigenvalues and eigenvectors of the…

无序系统与神经网络 · 物理学 2025-02-13 Yilun Gao , Rudolf A. Römer
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