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We study a particular type of local quench in a generic quantum critical one-dimensional system, using conformal field theory (CFT) techniques, and providing numerical checks of the results in free fermion systems. The system is initially…

Statistical Mechanics · Physics 2015-03-19 Jean-Marie Stéphan , Jérôme Dubail

The entanglement entropy and the logarithmic negativity can be computed in quantum field theory through a method based on the replica limit. Performing these analytic continuations in some cases is beyond our current knowledge, even for…

Statistical Mechanics · Physics 2015-06-18 Cristiano De Nobili , Andrea Coser , Erik Tonni

The entanglement asymmetry is an information based observable that quantifies the degree of symmetry breaking in a region of an extended quantum system. We investigate this measure in the ground state of one dimensional critical systems…

High Energy Physics - Theory · Physics 2024-05-14 Michele Fossati , Filiberto Ares , Jerome Dubail , Pasquale Calabrese

There is no doubt that the information hidden in entanglement entropy (EE), for example, the $n$-th order R\'enyi EE, i.e., $S^{A}_n=\frac{1}{1-n}\ln \Tr (\rho_A^n)$ where $\rho_A=\mathrm{Tr}_{\overline{A}}\rho$ is the reduced density…

Strongly Correlated Electrons · Physics 2023-08-30 Gaopei Pan , Yuan Da Liao , Weilun Jiang , Jonathan D'Emidio , Yang Qi , Zi Yang Meng

We construct a replica technique to perturbatively compute the odd entanglement entropy (OEE) for bipartite mixed states in $\text{T}\bar{\text{T}}$ deformed CFT$_2$s. This framework is then utilized to obtain the leading order correction…

High Energy Physics - Theory · Physics 2023-12-21 Debarshi Basu , Saikat Biswas , Ankur Dey , Boudhayan Paul , Gautam Sengupta

The quantum Ising chain of length, L, which is separated into two parts by localized or extended defects is considered at the critical point where scaling of the interface magnetization is non-universal. We measure the entanglement entropy…

Statistical Mechanics · Physics 2013-05-29 Ferenc Iglói , Zsolt Szatmári , Yu-Cheng Lin

We consider $p$-dimensional defects in $D$-dimensional conformal field theories (CFTs) and construct defect localized entropy by performing Casini-Huerta-Myers transformation for the system with defect. The defect localized entropy is a…

High Energy Physics - Theory · Physics 2023-07-21 Ma-Ke Yuan , Yang Zhou

We investigate the dynamics of the fermionic logarithmic negativity in a free-fermion chain with a localized loss, which acts as a dissipative impurity. The chain is initially prepared in a generic Fermi sea. In the standard hydrodynamic…

Statistical Mechanics · Physics 2023-02-23 Fabio Caceffo , Vincenzo Alba

We study the R\'enyi entanglement entropy (EE) of the two-dimensional $J$-$Q$ model, the emblematic quantum spin model of deconfined criticality at the phase transition between antiferromagnetic and valence-bond-solid ground states.…

Strongly Correlated Electrons · Physics 2024-10-18 Jonathan D'Emidio , Anders W. Sandvik

We carry out a numerical study of the bi-partite entanglement entropy in the gapped regime of two paradigmatic quantum spin chain models: the Ising chain in an external magnetic field and the anti-ferromagnetic XXZ model. The universal…

High Energy Physics - Theory · Physics 2013-10-30 Emanuele Levi , Olalla A. Castro-Alvaredo , Benjamin Doyon

In this paper, we calculate the entanglement negativity in free-fermion systems by use of the overlap matrices. For a tripartite system, if the ground state can be factored into triples of modes, we show that the partially transposed…

Statistical Mechanics · Physics 2016-05-23 Po-Yao Chang , Xueda Wen

In this paper we study the simplest massive 1+1 dimensional integrable quantum field theory which can be described as a perturbation of a non-unitary minimal conformal field theory: the Lee-Yang model. We are particularly interested in the…

High Energy Physics - Theory · Physics 2015-09-07 Davide Bianchini , Olalla A. Castro-Alvaredo , Benjamin Doyon

This is the second part of two papers where we study the effect of integrable line defects on bipartite entanglement entropy in integrable field theories. In this paper, we consider non-topological line defects in Ising field theory. We…

High Energy Physics - Theory · Physics 2017-09-13 Yunfeng Jiang

In this thesis we explore general aspects of the entanglement entropy (EE) for Conformal Field Theories (CFTs) dual to Cubic Curvature Gravity. We derived a covariant expression for the EE by using a scheme inherited from the bulk…

High Energy Physics - Theory · Physics 2023-03-27 Andrés Argandoña

We study the concept of entanglement distance between two quantum states which quantifies the amount of information shared between their reduced density matrices (RDMs). Using analytical arguments combined with…

Strongly Correlated Electrons · Physics 2017-10-18 Mohammad-Sadegh Vaezi , Abolhassan Vaezi

We perform a comprehensive analysis of the symmetry-resolved (SR) entanglement entropy (EE) for one single interval in the ground state of a $1+1$D conformal field theory (CFT), that is invariant under an arbitrary finite or compact Lie…

High Energy Physics - Theory · Physics 2023-12-07 Yuya Kusuki , Sara Murciano , Hirosi Ooguri , Sridip Pal

We study the scaling properties of the entanglement entropy (EE) near quantum critical points in interacting random antiferromagnetic (AF) spin chains. Using density-matrix renormalization group, we compute the half-chain EE near the…

Disordered Systems and Neural Networks · Physics 2024-03-05 Prashant Kumar , R. N. Bhatt

Entanglement entropy (EE) of a state is a measure of correlation or entanglement between two parts of a composite system and it may show appreciable change when the ground state (GS) undergoes a qualitative change in a quantum phase…

Strongly Correlated Electrons · Physics 2022-11-04 Sambunath Das , Dayasindhu Dey , S. Ramasesha , Manoranjan Kumar

We consider a free-fermion chain with a conformal defect that features an extended zero mode, and study the entanglement properties in its mixed ground state. The zero-mode induced degeneracy modifies the density of states in the…

Statistical Mechanics · Physics 2023-06-07 Luca Capizzi , Viktor Eisler

In this paper, we study the entanglement entropy of a single interval on a cylinder in two-dimensional $T\overline{T}$-deformed conformal field theory. For such case, the (R\'enyi) entanglement entropy takes a universal form in a CFT. We…

High Energy Physics - Theory · Physics 2018-11-07 Bin Chen , Lin Chen , Peng-xiang Hao