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Critical systems host nontrivial entanglement structure that is generally sensitive to additional couplings. In the present work, we study the effect of weak measurements on the entanglement Hamiltonian of massless free fermions which are…

统计力学 · 物理学 2024-11-22 Qicheng Tang , Xueda Wen

We study the effects of measurements, performed with a finite density in space, on the ground state of the one-dimensional transverse-field Ising model at criticality. Local degrees of freedom in critical states exhibit long-range…

统计力学 · 物理学 2023-06-29 Zack Weinstein , Rohith Sajith , Ehud Altman , Samuel J. Garratt

The entanglement entropy (EE) of quantum systems is often used as a test of low-energy descriptions by conformal field theory (CFT). Here we point out that this is not a reliable indicator, as the EE often shows the same behavior even when…

强关联电子 · 物理学 2017-08-02 Pranay Patil , Ying Tang , Emanuel Katz , Anders W. Sandvik

In this work, we numerically study the effect of weak measurement on deconfined quantum critical point(DQCP). Particularly, we consider the ground state of an one-dimensional spin $1/2$ system with long range exchange interactions($K$),…

量子物理 · 物理学 2026-03-06 K. G. S. H. Gunawardana

We investigate the effect of a time-reversal breaking impurity term on both the equilibrium and non-equilibrium critical properties of entanglement entropy (EE) in a three-spin interacting transverse Ising model which can be mapped to a…

统计力学 · 物理学 2018-04-24 Tanay Nag , Atanu Rajak

We calculate analytically the R\'enyi bipartite entanglement entropy $S_{\alpha}$ of the ground state of $1+1$ dimensional conformal field theories (CFT) after performing a projective measurement in a part of the system. We show that the…

高能物理 - 理论 · 物理学 2016-08-03 M. A. Rajabpour

We consider the effects of weak measurements on the quantum critical ground state of the one-dimensional (a) tricritical and (b) critical quantum Ising model, by measuring in (a) the local energy and in (b) the local spin operator in a…

统计力学 · 物理学 2024-09-04 Rushikesh A. Patil , Andreas W. W. Ludwig

The scaling behavior of the entanglement entropy in the two-dimensional random transverse field Ising model is studied numerically through the strong disordered renormalization group method. We find that the leading term of the entanglement…

无序系统与神经网络 · 物理学 2009-11-13 Rong Yu , Hubert Saleur , Stephan Haas

We study the statistics of measurement-induced entanglement (MIE) after partial measurement on a class of one-dimensional quantum critical states described by Tomonaga-Luttinger liquids at low energies. Using a replica trick to average over…

量子物理 · 物理学 2025-12-17 Kabir Khanna , Romain Vasseur

We study numerically the entanglement entropy and spatial correlations of the one dimensional transverse field Ising model with three different perturbations. First, we focus on the out of equilibrium, steady state with an energy current…

统计力学 · 物理学 2017-06-19 Richard Cole , Frank Pollmann , Joseph J. Betouras

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

Entanglement entropy (EE) in critical quantum spin chains described by 1+1D conformal field theories contains signatures of the universal characteristics of the field theory. Boundaries and defects in the spin chain give rise to universal…

量子物理 · 物理学 2022-05-26 Ananda Roy , Hubert Saleur

We consider a sublattice-symmetric free-fermion model on a one-dimensional lattice with random hopping amplitudes decaying with the distance as $|t_l|\sim l^{-\alpha}$, and address the question how far an analogue of the random-singlet…

无序系统与神经网络 · 物理学 2022-04-20 Róbert Juhász

We utilize the concept of a measurement-induced entanglement transition to analyze the interplay and competition of processes that generate and destroy entanglement in a one-dimensional quantum spin chain evolving under a locally noisy and…

量子物理 · 物理学 2022-07-07 T. Boorman , M. Szyniszewski , H. Schomerus , A. Romito

We present a perturbative method to compute the ground state entanglement entropy for interacting systems. We apply it to a collective model of mutually interacting spins in a magnetic field. At the quantum critical point, the entanglement…

统计力学 · 物理学 2010-05-11 T. Barthel , S. Dusuel , J. Vidal

We study the entanglement entropy of blocks of contiguous spins in non-periodic (quasi-periodic or more generally aperiodic) critical Heisenberg, XX and quantum Ising spin chains, e.g. in Fibonacci chains. For marginal and relevant…

统计力学 · 物理学 2009-11-13 F. Igloi , R. Juhasz , Z. Zimboras

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

Quantum phase transitions occur at zero temperature and involve the appearance of long-range correlations. These correlations are not due to thermal fluctuations but to the intricate structure of a strongly entangled ground state of the…

量子物理 · 物理学 2008-11-26 G. Vidal , J. I. Latorre , E. Rico , A. Kitaev

We study the scaling of the entanglement entropy in different classes of one-dimensional fermionic quasiperiodic systems with and without pairing, focusing on multifractal critical points/phases. We find that the entanglement entropy scales…

强关联电子 · 物理学 2024-03-12 Miguel Gonçalves

We derive exact expressions for the local entanglement entropy E in the ground state of the one-dimensional Hubbard model at a quantum phase transition driven by a change in magnetic field h or chemical potential u. The leading divergences…

强关联电子 · 物理学 2009-11-11 Daniel Larsson , Henrik Johannesson
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