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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…

Strongly Correlated Electrons · Physics 2020-07-01 Mohammad Pouranvari

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…

Strongly Correlated Electrons · Physics 2023-09-26 Mohammad Pouranvari

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…

Mesoscale and Nanoscale Physics · Physics 2013-03-08 Rui-Lin Chu , An Zhao , Shun-Qing Shen

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…

Strongly Correlated Electrons · Physics 2021-03-11 Mahdieh Pourjafarabadi , Hanieh Najafzadeh , Mohammad-Sadegh Vaezi , Abolhassan Vaezi

The Anderson localization transition is one of the most well studied examples of a zero temperature quantum phase transition. On the other hand, many open questions remain about the phenomenology of disordered systems driven far out of…

Statistical Mechanics · Physics 2019-09-11 Michael J. Gullans , David A. Huse

We study the half system entanglement Hamiltonians of the ground state of free fermion critical transverse field Ising model with periodic boundary conditions in the presence of defects. In general, we observe that these defects introduce…

Quantum Physics · Physics 2025-06-05 Gavin Rockwood

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…

Strongly Correlated Electrons · Physics 2017-07-25 Mohammad Pouranvari , Afshin Montakhab

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…

Disordered Systems and Neural Networks · Physics 2020-11-20 Y. Zhao , D. Feng , Y. Hu , S. Guo , J. Sirker

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…

Strongly Correlated Electrons · Physics 2019-04-30 Mohammad Pouranvari

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…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 Richard Berkovits

The entanglement spectrum (ES) is a powerful tool for probing topological phases. While its behavior in gapped systems is well understood, its properties in gapless regimes remain unclear. In this work, we employ a quantum Monte Carlo…

Strongly Correlated Electrons · Physics 2026-04-21 Zenan Liu , Zhe Wang , Dao-Xin Yao , Zheng Yan

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…

High Energy Physics - Theory · Physics 2025-08-28 Riccarda Bonsignori , Viktor Eisler

We numerically investigate the link between the delocalization-localization transition and entanglement in a disordered long-range hopping model of spinless fermions by studying various static and dynamical quantities. This includes the…

Strongly Correlated Electrons · Physics 2018-03-14 Nilanjan Roy , Auditya Sharma

This article introduces and discusses the concept of entanglement detachment. Under some circumstances, enlarging a few couplings of a Hamiltonian can effectively detach a (possibly disjoint) block within the ground state. This detachment…

Strongly Correlated Electrons · Physics 2018-12-05 Hernán Santos , José Enrique Alvarellos , Javier Rodríguez-Laguna

Entanglement spectra (ES) for the critical SU(N) (2 <= N <= 4) spin chains and other integrable models of finite length are studied with the density matrix renormalization group method. For all models under investigation, the level spacings…

Strongly Correlated Electrons · Physics 2016-11-09 Panjin Kim , Hosho Katsura , Nandini Trivedi , Jung Hoon Han

The properties of the entanglement entropy (EE) in one-dimensional disordered interacting systems are studied. Anderson localization leaves a clear signature on the average EE, as it saturates on length scale exceeding the localization…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 Richard Berkovits

In recent years, the presence of local potentials has significantly enriched and diversified the entanglement patterns in monitored free fermion systems. In our approach, we employ the stochastic Schr\"odinger equation to simulate a…

Quantum Physics · Physics 2026-02-09 Yu-Jun Zhao , Xuyang Huang , Yi-Rui Zhang , Han-Ze Li , Jian-Xin Zhong

The use of quantum entanglement to study condensed matter systems has been flourishing in critical systems and topological phases. Additionally, using real-space entanglement entropies and entanglement spectra one can characterize localized…

Mesoscale and Nanoscale Physics · Physics 2013-12-20 Ian Mondragon-Shem , Mayukh Khan , Taylor L. Hughes

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…

Disordered Systems and Neural Networks · Physics 2021-11-30 Aamna Ahmed , Nilanjan Roy , Auditya Sharma

We investigate the dynamics of Entanglement Hamiltonians (EHs) in dissipative free-fermionic systems using a recent operator-based formulation of the quasiparticle picture. Focusing on gain and loss dissipation, we study the post-quench…

Statistical Mechanics · Physics 2026-02-06 Riccardo Travaglino , Federico Rottoli , Pasquale Calabrese
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