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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

We studied numerically the distribution of the entanglement Hamiltonian eigenvalues in two one-dimensional free fermion models and the typical three-dimensional Anderson model. We showed numerically that this distribution depends on the…

强关联电子 · 物理学 2020-07-01 Mohammad Pouranvari

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 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 entropy(EE) of disordered one-dimensional spinless fermions with attractive interactions. With intensive numerical calculation of the EE using the density matrix renormalization group method, we find clear…

介观与纳米尺度物理 · 物理学 2013-03-08 Rui-Lin Chu , An Zhao , Shun-Qing Shen

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

In this work, we present an investigation on the spatial entanglement entropies in the helium atom by using highly correlated Hylleraas functions to represent the S-wave states. Singlet-spin 1sns 1Se states (with n = 1 to 6) and…

量子物理 · 物理学 2014-11-06 Chien-Hao Lin , Yew Kam Ho

We investigate the directional localization properties of wave-functions in a two-dimensional tight-binding model with uniform hopping and correlated random on-site energies. By controlling the disorder correlation strength with a parameter…

无序系统与神经网络 · 物理学 2025-03-12 Mohammad Pouranvari

The entanglement entropy can be an effective diagnostic tool for probing topological phase transitions. In one-dimensional single particle systems, the periodic driving generates a variety of topological phases and edge modes. In this work,…

量子物理 · 物理学 2026-01-07 Siyuan Cheng , Rui Xie , Xiaosen Yang , Yuee Xie , Yuanping Chen

In this paper, we investigate the second and third pseudo R\'enyi entanglement entropies (PREE) for a locally excited state $| \psi \rangle $ and its time evolution $| \phi \rangle = e^{- i H t} | \psi \rangle$ in a two-dimensional…

高能物理 - 理论 · 物理学 2023-09-28 Farzad Omidi

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

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 investigate the second quantization form of the entanglement Hamiltonian (EH) of various subregions for the ground-state of several interacting lattice fermions and spin models. The relation between the EH and the model Hamiltonian…

强关联电子 · 物理学 2021-03-11 Mahdieh Pourjafarabadi , Hanieh Najafzadeh , Mohammad-Sadegh Vaezi , Abolhassan Vaezi

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 compute exactly the von Neumann entanglement entropy of the eta-pairing states - a large set of exact excited eigenstates of the Hubbard Hamiltonian. For the singlet eta-pairing states the entropy scales with the logarithm of the spatial…

强关联电子 · 物理学 2018-04-20 Oskar Vafek , Nicolas Regnault , B. Andrei Bernevig

We analyze the problem of quantifying entanglement in pure and mixed states of fermionic systems with fixed number parity yet not necessarily fixed particle number. The "mode entanglement" between one single-particle level and its…

量子物理 · 物理学 2015-11-02 N. Gigena , R. Rossignoli

A simple second quantization model is used to describe a two-mode Bose-Einstein condensate (BEC), which can be written in terms of the generators of a SU(2) algebra with three parameters. We study the behaviour of the entanglement entropy…

量子气体 · 物理学 2013-08-02 Citlali Perez Campos , Jose R. Gonzalez Alonso , Octavio Castanos , Ramon Lopez

The properties of the entanglement entropy (EE) of low-lying excitations in one-dimensional disordered interacting systems are studied. The ground state EE shows a clear signature of localization, while low-lying excitation shows a…

介观与纳米尺度物理 · 物理学 2015-06-17 Richard Berkovits

Entanglement entropy under a particle bipartition provides complementary information to mode entanglement as it is sensitive to interactions and particle statistics at leading order and does not depend on any externally imposed length…

The aim of the present letter is to find the holographic entanglement entropy (HEE) in 2D holographic superconductors (HSC). Indeed, it is possible to compute the exact form of this entropy due to an advantage of approximate solutions…

高能物理 - 理论 · 物理学 2015-06-19 Davood Momeni , Hossein Gholizade , Muhammad Raza , Ratbay Myrzakulov
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