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Conformal invariance often accompanies criticality in Hermitian systems. However, its fate in non-Hermitian settings is less clear, especially near exceptional points where the Hamiltonian becomes non-diagonalizable. Here we investigate…

Strongly Correlated Electrons · Physics 2026-04-07 Iao-Fai Io , Fu-Hsiang Huang , Chang-Tse Hsieh

We study the melting of a domain wall in a free-fermionic chain with a localised impurity. We find that the defect enhances quantum correlations in such a way that even the smallest scatterer leads to a linear growth of the entanglement…

Statistical Mechanics · Physics 2023-02-06 Luca Capizzi , Stefano Scopa , Federico Rottoli , Pasquale Calabrese

We analyse the entanglement and the non-locality of a (1+1)-dimensional massless Dirac field confined to a cavity on a worldtube that consists of inertial and uniformly accelerated segments, for small accelerations but arbitrarily long…

Quantum Physics · Physics 2012-01-24 Nicolai Friis , Antony R. Lee , David Edward Bruschi , Jorma Louko

The spectrum of the non-hermitian asymmetric XXZ-chain with additional non-diagonal boundary terms is studied. The lowest lying eigenvalues are determined numerically. For the ferromagnetic and completely asymmetric chain that corresponds…

Statistical Mechanics · Physics 2009-10-28 Ulrich Bilstein , Birgit Wehefritz

Quadratic band touching in fermionic systems defines a universality class distinct from that of linear Dirac points, yet its characterization as a quantum critical point remains incomplete. In this work, I show that a $(d+1)$-dimensional…

Strongly Correlated Electrons · Physics 2025-11-21 Rintaro Masaoka

The two-dimensional one-component logarithmic Coulomb gas is mapped onto a non-hermitian fermionic field theory. At $\beta=2$, the field theory is free. Correlation functions are calculated and a perturbation theory is discussed for…

Statistical Mechanics · Physics 2015-06-25 M. B. Hastings

In this paper, we study the entanglement structure of mixed states in quantum many-body systems using the $\textit{negativity contour}$, a local measure of entanglement that determines which real-space degrees of freedom in a subregion are…

High Energy Physics - Theory · Physics 2020-04-22 Jonah Kudler-Flam , Hassan Shapourian , Shinsei Ryu

In a remarkable paper [Phys. Rev. Lett. 96, 100503 (2006)], Dimitri Gioev and Israel Klich conjectured an explicit formula for the leading asymptotic growth of the spatially bi-partite von-Neumann entanglement entropy of non-interacting…

Mathematical Physics · Physics 2015-03-03 Hajo Leschke , Alexander V. Sobolev , Wolfgang Spitzer

This study investigates the scaling behavior of the ground-state entanglement entropy in a model of free fermions on folded cubes. An analytical expression is derived in the large-diameter limit, revealing a strict adherence to the area…

Statistical Mechanics · Physics 2024-02-08 Pierre-Antoine Bernard , Zachary Mann , Gilles Parez , Luc Vinet

This study investigates the intricate relationship between dissipative processes of open quantum systems and the non-Hermitian quantum field theory of relativistic fermionic systems. By examining the influence of dissipative effects on…

High Energy Physics - Theory · Physics 2024-10-01 Y. M. P. Gomes

We examine the correlations between divergences in ground state entanglement entropy and emergent zero-modes of the underlying Hamiltonian in the context of one-dimensional Bosonic and Fermionic chains. Starting with a pair of coupled…

Quantum Physics · Physics 2022-12-15 Vijay Nenmeli , S. Shankaranarayanan

The symmetry-resolved R\'enyi entanglement entropy is the R\'enyi entanglement entropy of each symmetry sector of a density matrix $\rho$. This experimentally relevant quantity is known to have rich theoretical connections to conformal…

Quantum Physics · Physics 2022-07-14 Nick G. Jones

We study the entanglement Hamiltonian for the ground state of one-dimensional free fermions in the presence of an inhomogeneous chemical potential. In particular, we consider a lattice with a linear, as well as a continuum system with a…

Statistical Mechanics · Physics 2024-03-25 Riccarda Bonsignori , Viktor Eisler

The entanglement entropy of a gapless fermion subsystem coupled to a gapless bulk by a "weak link" is considered. It is demonstrated numerically that each independent weak link contributes an entropy proportional to lnL, where L is linear…

Strongly Correlated Electrons · Physics 2011-02-01 G. C. Levine , D. J. Miller

We consider the problem of Dirac fermions propagating on a spacetime of Schr\"odinger isometry and the associated boundary Euclidean two-point function of fermionic scaling operators of the holographic dual non-relativistic conformal…

High Energy Physics - Theory · Physics 2010-03-19 Robert G. Leigh , Nam Nguyen Hoang

Driven by the landscape of garden-variety condensed matter systems, we have investigated how the dual spectral function behaves at the non-relativistic as well as relativistic fermionic fixed point by considering the probe Dirac fermion in…

High Energy Physics - Theory · Physics 2012-02-01 Wei-Jia Li , Rene Meyer , Hongbao Zhang

We study the static entanglement structure in (1+1)-dimensional free Dirac-fermion theory with Lifshitz symmetry and arbitrary integer dynamical critical exponent. This model is different from the one introduced in [Hartmann et al., SciPost…

High Energy Physics - Theory · Physics 2025-01-23 Mohammad Javad Vasli , Komeil Babaei Velni , M. Reza Mohammadi Mozaffar , Ali Mollabashi

A quantum critical (QC) fluid exhibits universal subleading corrections to the area law of its entanglement entropies. In two dimensions when the partition involves a corner of angle $\theta$, the subleading term is logarithmic with…

Strongly Correlated Electrons · Physics 2016-09-28 Johannes Helmes , Lauren E. Hayward Sierens , Anushya Chandran , William Witczak-Krempa , Roger G. Melko

We derive a scheme for systematically enumerating the responses of gapped as well as gapless systems of free fermions to electromagnetic and strain fields starting from a common parent theory. Using the fact that position operators in the…

Mesoscale and Nanoscale Physics · Physics 2015-05-29 Daniel Bulmash , Pavan Hosur , Shou-Cheng Zhang , Xiao-Liang Qi

Recently, the steady states of non-unitary free fermion dynamics are found to exhibit novel critical phases with power-law squared correlations and a logarithmic subsystem entanglement. In this work, we theoretically understand the…

Strongly Correlated Electrons · Physics 2021-11-17 Pengfei Zhang , Shao-Kai Jian , Chunxiao Liu , Xiao Chen