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A detailed comparison is made between the field-theoretic and geometric definitions of topological charge density on the lattice. Their renormalizations with respect to continuum are analysed. The definition of the topological…

High Energy Physics - Lattice · Physics 2008-11-26 B. Alles , M. D'Elia , A. Di Giacomo , R. Kirchner

In this paper we study the noncommutative supersymmetric $CP^{(N-1)}$ model in 2+1 dimensions, where the basic field is in the fundamental representation which, differently to the adjoint representation already studied in the literature,…

High Energy Physics - Theory · Physics 2008-11-26 A. F. Ferrari , A. C. Lehum , A. J. da Silva , F. Teixeira

Accurate characterization of entropy plays a pivotal role in capturing reversible and irreversible heating in supercapacitors during charging/discharging cycles. However, numerical methods that can faithfully capture entropy variation in…

Numerical Analysis · Mathematics 2024-09-17 Jie Ding , Xiang Ji , Shenggao Zhou

In the presence of an electric dipole coupling of $t \bar t$ to a photon, and an analogous ``weak" dipole coupling to the $Z$, $CP$ violation in the process $e^+e^- \rightarrow t \bar t$ leads to the polarization of the top and anti-top.…

High Energy Physics - Phenomenology · Physics 2014-11-17 P. Poulose , Saurabh D. Rindani

The scale invariance of natural images suggests an analogy to the statistical mechanics of physical systems at a critical point. Here we examine the distribution of pixels in small image patches and show how to construct the corresponding…

Neurons and Cognition · Quantitative Biology 2013-05-30 Greg J Stephens , Thierry Mora , Gasper Tkacik , William Bialek

Thermal conduction is an important energy transfer and damping mechanism in astrophysical flows. Fourier's law - the heat flux is proportional to the negative temperature gradient, leading to temperature diffusion - is a well-known…

Solar and Stellar Astrophysics · Physics 2015-06-23 Daniel Lecoanet , Benjamin P. Brown , Ellen G. Zweibel , Keaton J. Burns , Jeffrey S. Oishi , Geoffrey M. Vasil

To check the consistency of positivity requirements for the two-point correlation function of the topological charge density, which were identified in a previous paper, we are computing perturbatively this two-point correlation function in…

High Energy Physics - Lattice · Physics 2009-11-11 Miguel Aguado , Erhard Seiler

In the presence of an electric dipole coupling of t-tbar to a photon, and an analogous "weak" dipole coupling to the Z, CP violation in the process e+e- --> t tbar results in modified polarization of the top and anti-top. This polarization…

High Energy Physics - Phenomenology · Physics 2008-11-26 Saurabh D. Rindani

We define a fixed point action in two-dimensional lattice CP^{N-1} models. The fixed point action is a classical perfect lattice action, which is expected to show strongly reduced cut-off effects in numerical simulations. Furthermore, the…

High Energy Physics - Lattice · Physics 2009-10-28 Rudolf Burkhalter

We study topology in Quantum Chromodynamics at high temperatures by means of lattice calculations. Simulations are performed with $N_f=2+1+1$ Wilson twisted mass fermions at maximal twist with physical quark masses, and temperatures…

High Energy Physics - Lattice · Physics 2025-09-08 A. Yu. Kotov , M. P. Lombardo , A. Trunin

A study of the thermal properties of two-dimensional topological lattice models is presented. This work is relevant to assess the usefulness of these systems as a quantum memory. For our purposes, we use the topological mutual information…

Mesoscale and Nanoscale Physics · Physics 2010-01-25 S. Iblisdir , D. Perez-Garcia , M. Aguado , J. Pachos

The thermoelectric power S is studied within the one-dimensional Hubbard model using the linear response theory and the numerical exact-diagonalization method for small systems. While both the diagonal and off-diagonal dynamical correlation…

Strongly Correlated Electrons · Physics 2009-11-10 M. M. Zemljic , P. Prelovsek

Identifying the status of individual network units is critical for understanding the mechanism of convolutional neural networks (CNNs). However, it is still challenging to reliably give a general indication of unit status, especially for…

Computer Vision and Pattern Recognition · Computer Science 2022-03-18 Yang Zhao , Hao Zhang

We construct a theory of charge transport by the surface states of topological insulators in three dimensions. The focus is on the experimentally relevant case when the electron doping is such that the Fermi energy $\epsilon_F$ and…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 Dimitrie Culcer , E. H. Hwang , Tudor D. Stanescu , S. Das Sarma

Various cooling methods, including a recently introduced one which smoothes out only quantum fluctuations larger than a given threshold, are applied to the study of topology in 2d CP(N-1) models. A critical comparison of their properties is…

High Energy Physics - Lattice · Physics 2015-06-25 B. Alles , L. Cosmai , M. D'Elia , A. Papa

We propose to utilize density distributions from a series of time-of-flight images of an expanding cloud to reconstruct single-particle correlation functions of trapped ultra-cold atoms. In particular, we show how this technique can be used…

Quantum Gases · Physics 2011-12-05 Wei Zhang , L. -M. Duan

The classification of electron systems according to their topology has been at the forefront of condensed matter research in recent years. It has been found that systems of the same symmetry, previously thought of as equivalent, may in fact…

Strongly Correlated Electrons · Physics 2015-01-09 Jan Borchmann , Aaron Farrell , Shunji Matsuura , T. Pereg-Barnea

We revisit old ideas that smearing or blocking an SU(N) lattice gauge field, or averaging over an ensemble of fields created in the neighbourhood of that field, can reduce the high frequency fluctuations sufficiently that the naive lattice…

High Energy Physics - Lattice · Physics 2022-02-08 Michael Teper

An interferometric technique is proposed for determining the spatial forms of the individual degrees of freedom through which a many body system can absorb energy from its environment. The method separates out the coherent excitations…

Quantum Physics · Physics 2017-08-30 S. Withington , C. N. Thomas , D. J. Goldie

We analyze the finite temperature behaviour of massless conformally coupled scalar fields in homogeneous lens spaces $S^3/{\mathbb Z}_p$. High and low temperature expansions are explicitly computed and the behavior of thermodynamic…

High Energy Physics - Theory · Physics 2013-05-03 M. Asorey , C. G. Beneventano , D. D'Ascanio , E. M. Santangelo