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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

Entanglement entropy is a powerful tool to detect continuous, discontinuous and even topological phase transitions in quantum as well as classical systems. In this work, von Neumann and Renyi entanglement entropies are studied numerically…

Statistical Mechanics · Physics 2023-10-30 Christophe Chatelain , Andrej Gendiar

We investigate the symmetry resolution of entanglement in the presence of long-range couplings. To this end, we study the symmetry-resolved entanglement entropy in the ground state of a fermionic chain that has dimerised long-range hoppings…

Statistical Mechanics · Physics 2022-06-22 Filiberto Ares , Sara Murciano , Pasquale Calabrese

Identifying topological phases for a strongly correlated theory remains a non-trivial task, as defining order parameters, such as Berry phases, is not straightforward. Quantum information theory is capable of identifying topological phases…

Strongly Correlated Electrons · Physics 2024-01-09 Nisa Ara , Rudranil Basu , Emil Mathew , Indrakshi Raychowdhury

A simple second quantization model is used to describe a two-mode Bose-Einstein condensate (BEC), which can be written in terms of the generators of a SU(2) algebra with three parameters. We study the behaviour of the entanglement entropy…

Quantum Gases · Physics 2013-08-02 Citlali Perez Campos , Jose R. Gonzalez Alonso , Octavio Castanos , Ramon Lopez

We elucidate the topological features of the entanglement entropy of a region in two dimensional quantum systems in a topological phase with a finite correlation length $\xi$. Firstly, we suggest that simpler reduced quantities, related to…

Strongly Correlated Electrons · Physics 2009-11-13 Stefanos Papanikolaou , Kumar S. Raman , Eduardo Fradkin

An intriguing feature of type II$_1$ von Neumann algebra is that the entropy of the mixed states is negative. Although the type classification of von Neumann algebra and its consequence in holography have been extensively explored recently,…

High Energy Physics - Theory · Physics 2024-04-04 Haifeng Tang

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

Casini et al raise the issue that the entanglement entropy in gauge theories is ambiguous because its definition depends on the choice of the boundary between two regions.; even a small change in the boundary could annihilate the otherwise…

High Energy Physics - Theory · Physics 2015-07-02 Ling-Yan Hung , Yidun Wan

Stabilizer entropies (SEs) are measures of nonstabilizerness or `magic' that quantify the degree to which a state is described by stabilizers. SEs are especially interesting due to their connections to scrambling, localization and property…

Quantum Physics · Physics 2024-08-07 Tobias Haug , Soovin Lee , M. S. Kim

In this paper we explore how non trivial boundary conditions could influence the entanglement entropy in a topological order in 2+1 dimensions. Specifically we consider the special class of topological orders describable by the quantum…

High Energy Physics - Theory · Physics 2018-06-26 Chaoyi Chen , Ling-Yan Hung , Yingcheng Li , Yidun Wan

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

In this paper we study the effect of non-trivial spatial topology on quantum entanglement by examining the degenerate ground states of a topologically ordered system on torus. Using the string-net (fixed-point) wave-function, we propose a…

Strongly Correlated Electrons · Physics 2016-08-17 Zhu-Xi Luo , Yu-Ting Hu , Yong-Shi Wu

The leading asymptotic large-scale behaviour of the spatially bipartite entanglement entropy (EE) of the free Fermi gas infinitely extended in multidimensional Euclidean space at zero absolute temperature, T=0, is by now well understood.…

Quantum Physics · Physics 2017-03-06 Hajo Leschke , Alexander V. Sobolev , Wolfgang Spitzer

We consider a system of two coupled Tomonaga-Luttinger liquids (TLL) on parallel chains and study the Renyi entanglement entropy $S_n$ between the two chains. Here the entanglement cut is introduced between the chains, not along the…

Strongly Correlated Electrons · Physics 2013-03-08 Shunsuke Furukawa , Yong Baek Kim

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

Two established frameworks account for the onset of a gap in a superconducting system: one is based on spontaneous symmetry breaking via the Anderson-Higgs-Kibble mechanism, and the other is based on the recently developed paradigm of…

Strongly Correlated Electrons · Physics 2010-10-27 M. Cristina Diamantini , Pasquale Sodano

Quantifying non-stabilizerness (``magic'') in interacting fermionic systems remains a formidable challenge, particularly for extracting high order correlations from quantum Monte Carlo simulations. In this Letter, we establish the two-point…

Strongly Correlated Electrons · Physics 2026-01-29 Jun Qi Fang , Fo-Hong Wang , Xiao Yan Xu

We study the entanglement entropy (EE) of Gaussian systems on a lattice with periodic boundary conditions, both in the vacuum and at nonzero temperatures. By restricting the reduced subsystem to periodic sublattices, we can compute the…

Quantum Physics · Physics 2017-01-25 Temple He , Javier M. Magan , Stefan Vandoren

We present an analytical study of the quantum phase transition between the topologically ordered toric-code-model ground state and the disordered spin-polarized state. The phase transition is induced by applying an external magnetic field,…

Quantum Physics · Physics 2013-01-16 Gábor B. Halász , Alioscia Hamma