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The mutual compatibility of the dynamical equations and constraints describing a massive particle of arbitrary spin, though essential for consistency, is generically lost in the presence of interactions. The conventional Lagrangian approach…

High Energy Physics - Theory · Physics 2015-06-16 Ignacio Cortese , Rakibur Rahman , M. Sivakumar

We use Monte Carlo simulations to evaluate the feasibility of detecting thermal order by disorder in real antiferromagnetic Ising pyrochlores, frustrated by a magnetic field applied in the $[110]$ direction. Building on an ideal system with…

Statistical Mechanics · Physics 2019-11-11 Pamela C. Guruciaga , Rodolfo A. Borzi

We derive conditions in the form of inequalities to detect the genuine $N$-partite entanglement of $N$ systems. The inequalities are expressed in terms of variances of spin operators, and can be tested by local spin measurements performed…

Quantum Physics · Physics 2020-09-24 R. Y. Teh , M. D. Reid

We analyze a model of double quantum dot Cooper pair splitter coupled to two ferromagnetic detectors, and demonstrate the possibility of determination of spin correlation by current measurements. We use perturbation theory taking account of…

Mesoscale and Nanoscale Physics · Physics 2017-08-28 Piotr Busz , Damian Tomaszewski , Jan Martinek

The recently proposed full configuration interaction quantum Monte Carlo method allows access to essentially exact ground-state energies of systems of interacting fermions substantially larger than previously tractable without knowledge of…

Computational Physics · Physics 2012-12-17 J. S. Spencer , N. S. Blunt , W. M. C. Foulkes

Quantum Monte Carlo and semiclassical methods are used to solve two and four site cluster dynamical mean field approximations to the square lattice Hubbard model at half filling and strong coupling. The energy, spin correlation function,…

Strongly Correlated Electrons · Physics 2009-11-11 Andreas Fuhrmann , Satoshi Okamoto , Hartmut Monien , Andrew J. Millis

The description of interacting many-electron systems in external magnetic fields is considered in the framework of the optimized effective potential method extended to current-spin-density functional theory. As a case study, a…

Materials Science · Physics 2011-01-14 N. Helbig , S. Kurth , S. Pittalis , E. Räsänen , E. K. U. Gross

Model Predictive Control (MPC) has shown to be a successful method for many applications that require control. Especially in the presence of prediction uncertainty, various types of MPC offer robust or efficient control system behavior. For…

Systems and Control · Electrical Eng. & Systems 2021-06-17 Tim Brüdigam , Jie Zhan , Dirk Wollherr , Marion Leibold

Reverse Monte Carlo (RMC) is an algorithm that incorporates stochastic modification of the action as part of the process that updates the fields in a Monte Carlo simulation. Such update moves have the potential of lowering or eliminating…

High Energy Physics - Lattice · Physics 2015-06-22 Arjun Singh Gambhir , Kostas Orginos

Monte Carlo simulations, in which the Schrodinger equation is solved at each Monte Carlo sweep, are employed to assess the influence of magnetization fluctuations,short-range antiferromagnetic interactions, disorder, magnetic polaron…

Materials Science · Physics 2007-05-23 D. Kechrakos , N. Papanikolaou , K. N. Trohidou , T. Dietl

The race to heuristically solve non-deterministic polynomial-time (NP) problems through efficient methods is ongoing. Recently, optics was demonstrated as a promising tool to find the ground state of a spin-glass Ising Hamiltonian, which…

Disordered Systems and Neural Networks · Physics 2022-03-14 Gianni Jacucci , Louis Delloye , Davide Pierangeli , Mushegh Rafayelyan , Claudio Conti , Sylvain Gigan

A precise dynamical characterization of quantum impurity models with multiple interacting orbitals is challenging. In quantum Monte Carlo methods, this is embodied by sign problems. A dynamical sign problem makes it exponentially difficult…

Mesoscale and Nanoscale Physics · Physics 2024-07-02 Andre Erpenbeck , Thomas Blommel , Lei Zhang , Wei-Ting Lin , Guy Cohen , Emanuel Gull

We investigate analytically and numerically an Ising spin model with ferromagnetic coupling defined on random graphs corresponding to Feynman diagrams of a $\phi^q$ field theory, which exhibits a mean field phase transition. We explicitly…

Statistical Mechanics · Physics 2011-04-21 Piotr Bialas , Andrzej K. Oleś

By incorporating the proper boundary conditions, we analytically derive the impulse response (or "Green's function") of a current-sensing spin detector. We also compare this result to a Monte-Carlo simulation (which automatically takes the…

Materials Science · Physics 2015-05-13 Jing Li , Ian Appelbaum

Markov chain Monte Carlo (MCMC) simulation methods are widely used to assess parametric uncertainties of hydrologic models conditioned on measurements of observable state variables. However, when the model is CPU-intensive and…

Optimization and Control · Mathematics 2018-06-18 Jiangjiang Zhang , Jun Man , Guang Lin , Laosheng Wu , Lingzao Zeng

A novel solution to the smoothing problem for multi-object dynamical systems is proposed and evaluated. The systems of interest contain an unknown and varying number of dynamical objects that are partially observed under noisy and corrupted…

Computation · Statistics 2020-09-08 Jeremie Houssineau , Jiajie Zeng , Ajay Jasra

In the railway domain, an interlocking is the system ensuring safe train traffic inside a station by controlling its active elements such as the signals or points. Modern interlockings are configured using particular data, called…

Software Engineering · Computer Science 2017-08-07 Quentin Cappart , Christophe Limbree , Pierre Schaus , Jean Quilbeuf , Louis-Marie Traonouez , Axel Legay

We introduce a variational implementation of cluster perturbation theory (CPT) to address the dynamics of spin systems driven out of equilibrium. We benchmark the method with the quantum Ising model subject to a sudden quench of the…

Strongly Correlated Electrons · Physics 2016-12-07 Mohammad Zhian Asadzadeh , Michele Fabrizio , Enrico Arrigoni

Monte Carlo (MC) simulations are extensively used for various purposes in modern high-energy physics (HEP) experiments. Precision measurements of established Standard Model processes or searches for new physics often require the collection…

Data Analysis, Statistics and Probability · Physics 2022-06-15 Karl Ehataht , Christian Veelken

This chapter is devoted to the computation of equilibrium (thermodynamic) properties of quantum systems. In particular, we will be interested in the situation where the interaction between particles is so strong that it cannot be treated as…

Mesoscale and Nanoscale Physics · Physics 2016-02-03 Alexei Filinov , Jens Böning , Michael Bonitz