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Kernel methods offer the flexibility to learn complex relationships in modern, large data sets while enjoying strong theoretical guarantees on quality. Unfortunately, these methods typically require cubic running time in the data set size,…

Machine Learning · Statistics 2019-03-01 Raj Agrawal , Trevor Campbell , Jonathan H. Huggins , Tamara Broderick

A binary liquid near its consolute point exhibits critical fluctuations of the local composition; the diverging correlation length has always challenged simulations. The method of choice for the calculation of critical points in the phase…

Statistical Mechanics · Physics 2021-04-29 Yogyata Pathania , Dipanjan Chakraborty , Felix Höfling

We study a stochastically perturbed version of the well-known Krasnoselski--Mann iteration for computing fixed points of nonexpansive maps in finite dimensional normed spaces. We discuss sufficient conditions on the stochastic noise and…

Optimization and Control · Mathematics 2023-04-04 Mario Bravo , Roberto Cominetti

The self-consistent harmonic approximation is extended in order to account for the existence of Klein factors in bosonized Hamiltonians. This is important for the study of finite systems where Klein factors cannot be ignored a priori. As a…

Strongly Correlated Electrons · Physics 2007-05-23 C. Mocanu , M. Dzierzawa , P. Schwab , U. Eckern

We present a study of the critical phenomena around the quantum critical point in heavy-fermion systems. In the framework of the S=1/2 Kondo lattice model, we introduce an extended decoupling scheme of the Kondo interaction which allows one…

Strongly Correlated Electrons · Physics 2009-10-31 M. Lavagna , C. Pépin

We describe results of the cluster algorithm Special Purpose Processor simulations of the 2D Ising model with impurity bonds. Use of large lattices, with the number of spins up to $10^6$, permitted to define critical region of temperatures,…

High Energy Physics - Lattice · Physics 2009-10-22 Andrei L. Talapov , Lev N. Shchur

We study the low-energy behavior of metals coupled to gapless bosons. This problem arises in several contexts in modern condensed matter physics; we focus on the theory of metals near continuous quantum phase transitions (where the boson is…

Strongly Correlated Electrons · Physics 2014-06-06 A. Liam Fitzpatrick , Shamit Kachru , Jared Kaplan , Steven A. Kivelson , S. Raghu

The local structure of disordered jammed packings of monodisperse spheres without friction, generated by the Lubachevsky-Stillinger algorithm, is studied for packing fractions above and below 64%. The structural similarity of the particle…

Soft Condensed Matter · Physics 2015-06-04 Sebastian C. Kapfer , Walter Mickel , Klaus Mecke , Gerd E. Schröder-Turk

We examine the scaling behavior of the entanglement entropy for the 2D quantum dimer model (QDM) at criticality and derive the universal finite sub-leading correction $\gamma_{QCP}$. We compute the value of $\gamma_{QCP}$ without…

Statistical Mechanics · Physics 2010-11-10 Benjamin Hsu , Eduardo Fradkin

As superconducting quantum circuits scale to larger sizes, the problem of frequency crowding proves a formidable task. Here we present a solution for this problem in fixed-frequency qubit architectures. By systematically adjusting qubit…

Using the Jacobian matrix, we obtain theoretical expression of rigidity and the density of states of two-dimensional amorphous solids consisting of frictional grains in the linear response to an infinitesimal strain, in which we ignore the…

Soft Condensed Matter · Physics 2023-05-16 Daisuke Ishima , Kuniyasu Saitoh , Michio Otsuki , Hisao Hayakawa

We present a computer simulation study of influence of the confinement on the density anomaly in the system with isotropic core-softened potential which is used for a qualitative description of the anomalous behavior of water and some other…

Soft Condensed Matter · Physics 2019-10-28 Yu. D. Fomin , V. N. Ryzhov , E. N. Tsiok

The jamming transition characterizes athermal systems of particles interacting via finite range repulsive potentials, and occurs on increasing the density when particles cannot avoid making contacts with those of their first coordination…

Soft Condensed Matter · Physics 2012-10-12 M. Pica Ciamarra , P. Sollich

Extending the parameter space of the three-dimensional (d=3) Ising model, we search for a regime of eliminated corrections to finite-size scaling. For that purpose, we consider a real-space renormalization group (RSRG) with respect to a…

Statistical Mechanics · Physics 2009-11-11 Yoshihiro Nishiyama

Quantum control strategies that provide shortcuts to adiabaticity are increasingly considered in various contexts including atomic cooling. Recent studies have emphasized practical issues in order to reduce the gap between the idealized…

Quantum Gases · Physics 2012-11-02 S. Choi , R. Onofrio , B. Sundaram

We present a functional renormalization group calculation of the properties of a quantum critical metal in $d=2$ spatial dimensions. Our theory describes a general class of Pomeranchuk instabilities with $N_b$ flavors of boson. At small…

Strongly Correlated Electrons · Physics 2018-12-05 Matthew J. Trott , Chris A. Hooley

We calculate the correction to the electronic density of states in a disordered ferromagnetic metal induced by spin-wave mediated interaction between the electrons. Our calculation is valid for the case that the exchange splitting in the…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 Alessandro Ricottone , Jeroen Danon , Piet W. Brouwer

In this work we develop an open quantum system view of the parametric approximation, which allows us to obtain systematic perturbative corrections to it. We consider the Jaynes-Cummings model with dissipation, assuming that the field is in…

Quantum Physics · Physics 2025-05-07 A. Yu. Karasev , A. E. Teretenkov

Machine learning is used to approximate density functionals. For the model problem of the kinetic energy of non-interacting fermions in 1d, mean absolute errors below 1 kcal/mol on test densities similar to the training set are reached with…

Computational Physics · Physics 2015-06-03 John C. Snyder , Matthias Rupp , Katja Hansen , Klaus-Robert Müller , Kieron Burke

Colloidal and other granular media experience a transition to rigidity known as jamming if the fill fraction is increased beyond a critical value. The resulting jammed structures are locally disordered, bear applied loads inhomogenously,…

Soft Condensed Matter · Physics 2016-08-04 Christopher J. Burke , Timothy J. Atherton