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Entanglement entropy (EE) is a fundamental probe of quantum phases and critical phenomena, which was thought to reflect only bulk universality for a long time. Very recently, people realized that the microscopic geometry of the entanglement…

Strongly Correlated Electrons · Physics 2026-01-21 Zhe Wang , Chunhao Guo , Bin-Bin Mao , Zheng Yan

Some quantum field theories show, in a fundamental or an effective manner, an alternative between a loss of duality for algebras of operators corresponding to complementary regions, or a loss of additivity. In this latter case, the algebra…

High Energy Physics - Theory · Physics 2020-03-18 Horacio Casini , Marina Huerta , Javier M. Magan , Diego Pontello

The aim of this work is to introduce the entanglement entropy of real and virtual excitations of fermion and photon fields. By rewriting the generating functional of quantum electrodynamics theory as an inner product between quantum…

High Energy Physics - Theory · Physics 2018-05-23 Juan Sebastian Ardenghi

We propose a definition for the entanglement entropy of a gauge theory on a spatial lattice. Our definition applies to any subset of links in the lattice, and is valid for both Abelian and Non-Abelian gauge theories. For $\mathbb{Z}_N$ and…

High Energy Physics - Theory · Physics 2015-09-21 Sudip Ghosh , Ronak M. Soni , Sandip P. Trivedi

We introduce "Replicated Entanglement Entropy (REE)" as the entanglement entropy of a subspace in a replicated theory. We calculate this quantity by replicating the original theory in two steps along the same entangling region and taking…

High Energy Physics - Theory · Physics 2016-02-11 Amir Esmaeil Mosaffa

We give a scheme to geometrize the partial entanglement entropy (PEE) for holographic CFT in the context of AdS/CFT. More explicitly, given a point $\textbf{x}$ we geometrize the two-point PEEs between $\textbf{x}$ and any other points in…

High Energy Physics - Theory · Physics 2024-03-11 Jiong Lin , Yizhou Lu , Qiang Wen

Entanglement entropy (EE) is a quantitative measure of the effective degrees of freedom and the correlation between the sub-systems of a physical system. Using the replica trick, we can obtain the EE by evaluating the entanglement Renyi…

High Energy Physics - Theory · Physics 2022-12-14 Jun Tsujimura , Yasusada Nambu

Topologically ordered phases of matter can be characterized by the presence of a universal, constant contribution to the entanglement entropy known as the topological entanglement entropy (TEE). The TEE can been calculated for Abelian…

Strongly Correlated Electrons · Physics 2020-07-13 Ramanjit Sohal , Bo Han , Luiz H. Santos , Jeffrey C. Y. Teo

In this note we do the analysis of entanglement entropy more carefully when the non-conformal theory flows to a non-trivial IR fixed point. In particular we emphasize the role of the trace of the energy-momentum tensor in these…

High Energy Physics - Theory · Physics 2014-07-02 Shamik Banerjee

We analyze the entanglement properties of the asymptotic steady state after a quench from free to hard-core bosons in one dimension. The R\'enyi and von Neumann entanglement entropies are found to be extensive, and the latter coincides with…

Quantum Gases · Physics 2014-01-22 Mario Collura , Márton Kormos , Pasquale Calabrese

We study the growth of entanglement entropy(EE) of local operator excitation in the quantum Lifshitz model which has dynamic exponent z = 2. Specifically, we act a local vertex operator on the groundstate at a distance $l$ to the…

Statistical Mechanics · Physics 2016-10-20 Tianci Zhou

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 evaluate the entanglement entropy of a non-minimal coupling Einstein-scalar theory with two approaches in classical Euclidean gravity. By analysing the equation of motion, we find that the entangled surface is restricted to be a minimal…

High Energy Physics - Theory · Physics 2016-06-29 Bing Sun , Weizhen Jia , Xingyang Yu

We show that odd order R\'enyi entropies $S^{(2q+1)}$ of a system of interacting scalar fields can be calculated as the free energy of $2q+1$ replicas of the system with additional quadratic inter-replica couplings in the subsystem at the…

Statistical Mechanics · Physics 2025-10-20 Mrinal Kanti Sarkar , Saranyo Moitra , Rajdeep Sensarma

The entanglement entropy (EE) can measure the entanglement between a spatial subregion and its complement, which provides key information about quantum states. Here, rather than focusing on specific regions, we study how the entanglement…

Strongly Correlated Electrons · Physics 2019-02-21 William Witczak-Krempa

It is well known that loss of information about a system, for some observer, leads to an increase in entropy as perceived by this observer. We use this to propose an alternative approach to decoherence in quantum field theory in which the…

High Energy Physics - Theory · Physics 2015-05-18 Jurjen F. Koksma , Tomislav Prokopec , Michael G. Schmidt

Entanglement entropy has proven to be an extremely useful concept in quantum field theory. Gauge theories are of particular interest, but for these systems the entanglement entropy is not clearly defined because the physical Hilbert space…

High Energy Physics - Theory · Physics 2016-11-29 William Donnelly

We develop a framework of calculating entanglement entropy for non-conformal field theories with the use of the dilaton effective action. To illustrate it, we locate a theory on a cylinder $\mathbb{R} \times \mathbb{S}^{2}$ and compute…

High Energy Physics - Theory · Physics 2016-04-20 Shamik Banerjee , Yuki Nakaguchi , Tatsuma Nishioka

We investigate the entanglement and the R\'enyi entropies of two electronic leads connected by a quantum point contact. For non-interacting electrons, the entropies can be related to the cumulants of the full counting statistics of…

Mesoscale and Nanoscale Physics · Physics 2015-03-12 Konrad H. Thomas , Christian Flindt

We study Renyi and von Neumann entanglement entropies in the ground state of the one dimensional quarter-filled Hubbard model with periodic boundary conditions. We show that they exhibit an unexpected dependence on system size: for L=4 mod…

Strongly Correlated Electrons · Physics 2014-10-06 Pasquale Calabrese , Fabian H. L. Essler , Andreas M. Lauchli