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The ground state of an S=1/2 antiferromagnetic Heisenberg model on a spatially anisotropic triangular lattice, which is an effective model of Mott insulators on a triangular layer of organic charge transfer salts or Cs2CuCl4, is numerically…

Strongly Correlated Electrons · Physics 2012-11-19 Kenji Harada

We consider the inverse problem of reconstructing inhomogeneities by performing a finite number of scattering measurements of acoustic type in the time-harmonic setting. We set up the reconstruction as a fully discrete variational problem…

Analysis of PDEs · Mathematics 2026-02-24 Daniela Di Donato , Luca Rondi

A nonlinear Schrodinger equation arising from light propagation down an inhomogeneous medium is considered. The inhomogeneity is reflected through a non-uniform coefficient of the non-linear term in the equation. In particular, a…

Pattern Formation and Solitons · Physics 2015-05-18 R. Marangell , C. K. R. T. Jones , H. Susanto

One of the main goals of modern cosmology remains to summon up a self consistent policy, able to explain, in the framework of the Einstein's theory, the cosmic speed up and the presence of Dark Matter in the Universe. Accordingly to the…

General Relativity and Quantum Cosmology · Physics 2015-05-30 Alejandro Aviles , Luca Bonanno , Orlando Luongo , Hernando Quevedo

Nonlocal order parameters for deconfinement, such as the entanglement entropy and Wilson loops, depend on spatial surfaces \Sigma. These observables are given holographically by the area of a certain bulk spatial surface \Gamma, ending on…

High Energy Physics - Theory · Physics 2013-05-30 Sean A. Hartnoll , Djordje Radicevic

Notes on holographic renormalization as a tool for UV analysis and derivation of the two-point Ward identity encoding symmetry breaking. Goldstone theorem is reviewed, discussing in particular the modifications required by its extension to…

High Energy Physics - Theory · Physics 2017-12-27 Andrea Marzolla

The influence of a two-hadron threshold is studied for the hadron mass scaling with respect to some quantum chromodynamics parameters. A quantum mechanical model is introduced to describe the system with a one-body bare state coupled with a…

High Energy Physics - Phenomenology · Physics 2015-06-22 Tetsuo Hyodo

We propose a new example of discrete holography that provides a new step towards establishing the AdS/CFT duality for discrete spaces. A class of boundary Hamiltonians is obtained in a natural way from regular tilings of the hyperbolic…

High Energy Physics - Theory · Physics 2022-11-09 Pablo Basteiro , Giuseppe Di Giulio , Johanna Erdmenger , Jonathan Karl , René Meyer , Zhuo-Yu Xian

We study the information content of the reduced density matrix of a region in quantum field theory that cannot be recovered from its subregion density matrices. We reconstruct the density matrix from its subregions using two approaches:…

High Energy Physics - Theory · Physics 2019-01-30 Nima Lashkari

We propose an infrared cut-off for the holographic density which incorporates among others a constant term, that produces the effect of the cosmological constant, improving the results of previously considered holographic models based on…

High Energy Physics - Theory · Physics 2011-01-26 L. N. Granda

We implement an algorithm which is aimed to reduce the dimensions of the Hilbert space of quantum many-body systems by means of a renormalization procedure. We test the role and importance of different representations on the reduction…

Quantum Physics · Physics 2015-05-27 Tarek Khalil , Jean Richert

A simple modification of the standard Renormalization Group (RG) technique for the study of quantum spin systems is introduced. Our method which takes into account the effect of boundary conditions by employing the concept of superblock,…

Statistical Mechanics · Physics 2008-02-03 A. Langari , V. Karimipour

We study the inverse problem of deducing the dynamical characteristics (such as the potential field) of large systems from kinematic observations. We show that, for a class of steady-state systems, the solution is unique even with…

Astrophysics · Physics 2008-11-14 Mikko Kaasalainen

The relaxation of binary spins to analog values has been the subject of much debate in the field of statistical physics, neural networks, and more recently quantum computing, notably because the benefits of using an analog state for finding…

Chaotic Dynamics · Physics 2019-02-06 Timothee Leleu , Yoshihisa Yamamoto , Peter L. McMahon , Kazuyuki Aihara

By using the conserved currents in the bulk space-time, we study dynamical holographic systems and the relation between thermodynamical and dynamical stability of such systems. In particular, in the probe limit a generalized free energy is…

High Energy Physics - Theory · Physics 2023-10-09 Yu Tian , Xiao-Ning Wu , Hongbao Zhang

We investigate holographically the entanglement entropy of a nonconformal medium whose dual geometry is described by an Einstein-Maxwell-dilaton theory. Due to an additional conserved charge corresponding to the number operator, its…

High Energy Physics - Theory · Physics 2015-06-17 Chanyong Park

Holographic modeling of strongly correlated many-body systems motivates the study of novel spacetime geometries where the scaling behavior of quantum critical systems is encoded into spacetime symmetries. Einstein-Dilaton-Maxwell theory has…

General Relativity and Quantum Cosmology · Physics 2013-07-11 V. Keranen , L. Thorlacius

We propose and test a renormalization procedure which acts in Hilbert space. We test its efficiency on strongly correlated quantum spin systems by working out and analyzing the low-energy spectral properties of frustrated quantum spin…

Quantum Physics · Physics 2009-11-13 Tarek Khalil , Jean Richert

A holographic dual description of inhomogeneous systems is discussed. Notably, finite temperature results for the entanglement entropy in both the rainbow chain and the SSD model are obtained holographically by choosing appropriate…

Strongly Correlated Electrons · Physics 2020-01-08 Ian MacCormack , Aike Liu , Masahiro Nozaki , Shinsei Ryu

We use a holographic principle to study the low-energy spectrum of walking technicolour models. In particular, we predict the masses of the axial vectors as well as the decay constants of vectors and axial vectors as functions of the mass…

High Energy Physics - Phenomenology · Physics 2008-11-26 Dennis D. Dietrich , Chris Kouvaris