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The statistical mechanics of a mixed gas of adjoint and fundamental representation charges interacting via 1+1-dimensional U(N) gauge fields is investigated. In the limit of large N we show that there is a first order deconfining phase…

High Energy Physics - Theory · Physics 2007-05-23 C. R. Gattringer , L. D. Paniak , G. W. Semenoff

A relevant perturbation of the entanglement entropy of a sphere is examined holographically near the UV fixed point. Varying the conformal dimension of the relevant operator, we obtain three different sectors: 1) the entanglement entropy is…

High Energy Physics - Theory · Physics 2014-08-13 Tatsuma Nishioka

Black holes in noncommutative geometry background are considered to be quantized in accordance with the holographic principle. Incomplete gamma function involving the effective black hole mass is replaced by a discrete sum. The mass…

High Energy Physics - Theory · Physics 2012-06-27 Jong-Phil Lee

Despite the seeming simplicity of the theory, calculating (and even defining) entanglement entropy for the Maxwell theory of a $U(1)$ gauge field in (3+1) dimensions has been the subject of controversy. It is generally accepted that the…

High Energy Physics - Theory · Physics 2019-03-19 Michael Pretko

Recently the ground state and some excited states of the half-filled case of the 1d Hubbard model were discussed for an open chain with L sites. Authors considered the case when the boundary site has a negative chemical potential -p and the…

Strongly Correlated Electrons · Physics 2007-09-04 O. Hudak

In the presence of symmetry, entanglement measures of quantum many-body states can be decomposed into contributions arising from distinct symmetry sectors. Here we investigate the decomposability of negativity, a measure of entanglement…

Statistical Mechanics · Physics 2018-09-12 Eyal Cornfeld , Moshe Goldstein , Eran Sela

Entanglement is the key resource for quantum technologies and is at the root of exciting many-body phenomena. However, quantifying the entanglement between two parts of a real-world quantum system is challenging when it interacts with its…

Quantum Physics · Physics 2023-03-22 Christian Carisch , Oded Zilberberg

We study the extremal surfaces of functionals recently proposed for the holographic calculation of entanglement entropy in general higher curvature theories, using New Massive gravity and Gauss-Bonnet gravity as concrete examples. We show…

High Energy Physics - Theory · Physics 2015-06-18 Johanna Erdmenger , Mario Flory , Charlotte Sleight

Graphs are topological spaces that include broader objects than discretized manifolds, making them interesting playgrounds for the study of quantum phases not realized by symmetry breaking. In particular they are known to support anyons of…

Strongly Correlated Electrons · Physics 2021-10-18 Pramod Padmanabhan , Fumihiko Sugino

In entanglement computations for a free scalar field with coupling to background curvature, there is a boundary term in the modular Hamiltonian which must be correctly specified in order to get sensible results. We focus here on the…

High Energy Physics - Theory · Physics 2017-02-01 Christopher P. Herzog , Tatsuma Nishioka

Like natural complex systems such as the Earth's climate or a living cell, semiconductor lithography systems are characterized by nonlinear dynamics across more than a dozen orders of magnitude in space and time. Thousands of sensors…

Information Theory · Computer Science 2021-04-07 Errol Zalmijn , Tom Heskes , Tom Claassen

Elementary particle scatterings and decays in presence of a background magnetic field are very common in physics, specially after the observation that the core of the neutron stars can sustain a magnetic field of the order of $10^{13} {\rm…

High Energy Physics - Phenomenology · Physics 2009-11-11 Kaushik Bhattacharya

Entanglement entropy first arose from attempts to understand the entropy of black holes, and is believed to play a crucial role in a complete description of quantum gravity. This thesis explores some proposed connections between…

High Energy Physics - Theory · Physics 2018-08-14 Antony J. Speranza

The trace anomaly of conformal field theories in four dimensions is characterized by '$a$' and '$c$'-functions. The scaling properties of the effective action of a CFT in the presence of boundaries is shown to be determined by $a$, $c$ and…

High Energy Physics - Theory · Physics 2016-01-27 Dmitri Fursaev

Spectral measurements of boundary localized in-gap modes are commonly used to identify topological insulators via the bulk-boundary correspondence. This can be extended to high-order topological insulators for which the most striking…

Mesoscale and Nanoscale Physics · Physics 2020-07-01 Christopher W. Peterson , Tianhe Li , Wladimir A. Benalcazar , Taylor L. Hughes , Gaurav Bahl

Charge fractionalization is a possible emergent excitation in a low-dimensional system of interacting electrons. A known example is that of fractional charges in the fractional quantum Hall effect (FQHE) regime, which is a consequence of…

Mesoscale and Nanoscale Physics · Physics 2013-10-31 Hiroyuki Inoue , Anna Grivnin , Nissim Ofek , Izhar Neder , Moty Heiblum , Vladimir Umansky , Diana Mahalu

The entanglement entropy of a pure quantum state of a bipartite system $A \cup B$ is defined as the von Neumann entropy of the reduced density matrix obtained by tracing over one of the two parts. Critical ground states of local…

Strongly Correlated Electrons · Physics 2008-11-26 Eduardo Fradkin , Joel E. Moore

Many types of point singularity have a topological index, or 'charge', associated with them. For example the phase of a complex field depending on two variables can either increase or decrease on making a clockwise circuit around a simple…

Disordered Systems and Neural Networks · Physics 2009-11-10 Michael Wilkinson

An interface connecting two distinct conformal field theories hosts rich critical behaviors. In this work, we investigate the entanglement properties of such critical interface theories for probing the underlying universality. As inspired…

Statistical Mechanics · Physics 2024-01-10 Qicheng Tang , Zixia Wei , Yin Tang , Xueda Wen , W. Zhu

We explore the efficacy of entanglement entropy as a tool for detecting thermal phase transitions in a family of gauge theories described holographically. The rich phase diagram of these theories encompasses first and second-order phase…

High Energy Physics - Theory · Physics 2023-11-06 Niko Jokela , Helime Ruotsalainen , Javier G. Subils