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We revisit the study of string theory close to the Hagedorn temperature with the aim towards cosmological applications. We consider interactions of open and closed strings in a gas of D$p-$branes, and/or one isolated D$p$-brane, in an…

High Energy Physics - Theory · Physics 2024-03-25 Andrew R. Frey , Ratul Mahanta , Anshuman Maharana , Francesco Muia , Fernando Quevedo , Gonzalo Villa

We consider a product of an arbitrary number of independent rectangular Gaussian random matrices. We derive the mean densities of its eigenvalues and singular values in the thermodynamic limit, eventually verified numerically. These…

Statistical Mechanics · Physics 2011-06-28 Z. Burda , A. Jarosz , G. Livan , M. A. Nowak , A. Swiech

We compute the entanglement entropy of soft gluons in the wave function of a fast moving hadron and discuss its basic properties. We also derive the expression for entropy production in a high energy hadronic collision within the Color…

High Energy Physics - Phenomenology · Physics 2015-08-26 Alex Kovner , Michael Lublinsky

Using a holographic proposal for the entanglement entropy we study its behavior in various supergravity backgrounds. We are particularly interested in the possibility of using the entanglement entropy as way to detect transitions induced by…

High Energy Physics - Theory · Physics 2009-08-18 Ibrahima Bah , Alberto Faraggi , Leopoldo A. Pando Zayas , Cesar A. Terrero-Escalante

We study holographic entanglement entropy in spatially anisotropic field theory. We observe that for the background we consider in this paper, to a good approximation, the holographic entanglement entropy can be decomposed into two terms.…

High Energy Physics - Theory · Physics 2018-07-11 M. Rahimi , M. Ali-Akbari

It is desirable to relate entanglement of many-body systems to measurable observables. In systems with a conserved charge, it was recently shown that the number entanglement entropy (NEE) - i.e. the entropy change due to an unselective…

Mesoscale and Nanoscale Physics · Physics 2023-04-06 Cheolhee Han , Yigal Meir , Eran Sela

The Hagedorn transition in string theory is normally associated with an exponentially rising density of states, or equivalently with the existence of a thermal string winding mode which becomes tachyonic above a specific temperature.…

High Energy Physics - Theory · Physics 2007-05-23 Keith R. Dienes , Michael Lennek

We show that, contrary to previous string models, the high-temperature behaviour of the recently proposed confining strings reproduces exactly the correct large-N QCD result, a {\it necessary} condition for any string model of confinement.

High Energy Physics - Theory · Physics 2009-11-07 M. C. Diamantini , C. A. Trugenberger

The upper and lower bounds of entanglement of formation are given for two mode squeezed thermal state. The bounds are compared with other entanglement measure or bounds. The entanglement distillation and the relative entropy of entanglement…

Quantum Physics · Physics 2009-11-10 Xiao-Yu Chen , Pei-liang Qiu

We develop finite temperature strong coupling expansions for the SU(N) Hubbard Model in powers of $\beta t$, $w=\exp{(-\beta U)}$ and ${1\over \beta U}$ for arbitrary filling. The expansions are done in the grand canonical ensemble and are…

Strongly Correlated Electrons · Physics 2022-08-04 Rajiv R. P. Singh , Jaan Oitmaa

We argue that, within the realm of gauge-gravity duality, for a large class of systems in a steady-state there exists an effective thermodynamic description. This description comes equipped with an effective temperature and a free energy,…

High Energy Physics - Theory · Physics 2015-07-06 Arnab Kundu

We study the phase transition in the holographic entanglement entropy for various confining models. This transition occurs for the entanglement entropy of a strip at a critical value of the strip width. Our main interest is to examine the…

High Energy Physics - Theory · Physics 2012-05-16 Aitor Lewkowycz

The entanglement properties of systems in which elastic and inelastic reactions occur in projectile-target interactions is studied. A new measure of entanglement, the scattering entropy, based on the unitarity of the $S-$matrix (probability…

Nuclear Theory · Physics 2023-06-27 Gerald A. Miller

In this paper, we establish a sum rule that connects the pseudoentropy and entanglement entropy of a superposition state. Through analytical continuation of the superposition parameter, we demonstrate that the transition matrix and density…

High Energy Physics - Theory · Physics 2024-06-12 Wu-zhong Guo , Yao-zong Jiang , Jin Xu

As a toy model of a gapped system, we investigate the entanglement entropy of a massive scalar field in 1+1 dimensions at nonzero temperature. In a small mass m and temperature T limit, we put upper and lower bounds on the two largest…

High Energy Physics - Theory · Physics 2013-05-30 Christopher P. Herzog , Michael Spillane

It was shown in Dey and Roy (2012) that the near horizon limit of the 1/4 BPS threshold F-D$p$ (for $0\leq p \leq 5$, $p \neq 4$) bound state solutions of type II string theories give rise to space-time metrics endowed with Lifshitz scaling…

High Energy Physics - Theory · Physics 2015-06-11 Parijat Dey , Shibaji Roy

We analyze the problem of calculating the solutions and the spectrum of a string with arbitrary density and fixed ends. We build a perturbative scheme which uses a basis of WKB-type functions and obtain explicit expressions for the…

Mathematical Physics · Physics 2015-05-20 Paolo Amore

We consider closed type II and orientifold backgrounds where supersymmetry is spontaneously broken by asymmetric geometrical fluxes. We show that these can be used to describe thermal ensembles with chemical potentials associated to…

High Energy Physics - Theory · Physics 2008-12-18 C. Angelantonj , C. Kounnas , H. Partouche , N. Toumbas

We investigate entanglement in a linear chain of $N$ polar molecules coupled by dipole interaction. In our model, nearest neighbour interaction predominate, and we compute entanglement with the help of a two-party correlation entanglement…

Quantum Physics · Physics 2008-10-01 Pérola Milman , Arne Keller

We find numerically that the sample to sample fluctuation of the entropy, $\Delta S$, is a tool more sensitive in distinguishing how from high temperature behaviors, than the corresponding fluctuation in the free energy. In 1+1 dimensions…

Disordered Systems and Neural Networks · Physics 2009-10-31 Xiao-Hong Wang , Shlomo Havlin , Moshe Schwartz