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Exploring potential empirical manifestations of quantum gravity is a challenging pursuit. In this study, we utilise a lattice representation of a (2+1)D massive gravity toy model interacting with Dirac fermions that can support specific…

Quantum Physics · Physics 2026-04-24 Jiannis K. Pachos , Patricio Salgado-Rebolledo , Martine Schut

We propose a novel way of investigating the universal properties of spin systems by coupling them to an ensemble of causal dynamically triangulated lattices, instead of studying them on a fixed regular or random lattice. Somewhat…

High Energy Physics - Lattice · Physics 2008-11-26 D. Benedetti , R. Loll

Spin-orbit beams, in which the orbital angular momentum degree of freedom is coupled to a two-level system such as polarization of light or spin in electrons and neutrons, have gained significant interest for their unique propagation…

We study Bosonic representation of spin Ising model with the application of simulating two level systems using continuous variable quantum processors. We decompose the time evolution of spin systems into a sequence of continuous variable…

Quantum Physics · Physics 2020-09-29 Razieh Annabestani , Brajesh Gupt , Bhaskar Roy Bardhan

Obtaining the low-energy configurations of spin glasses that have rugged energy landscapes is of direct relevance to combinatorial optimization and fundamental science. Search-based heuristics have difficulty with this task due to the…

Disordered Systems and Neural Networks · Physics 2024-12-24 Adil A. Gangat , Johnnie Gray

The high-performance scalable parallel algorithm for rigorous calculation of partition function of lattice systems with finite number Ising spins was developed. The parallel calculations run by C++ code with using of Message Passing…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-02-21 Alexey A. Peretyatko , Ivan A. Bogatyrev , Vitaliy Yu. Kapitan , Yury V. Kirienko , Konstantin V. Nefedev , Valery I. Belokon

Binary magnetic square lattice Ising system with nearest neighbour interactions were simulated using the Monte Carlo technique. Two types of ions were randomly distributed on the lattice sites, one type interacting ferromagnetic and the…

Statistical Mechanics · Physics 2013-01-23 Ike Q. Sikakana

A numerical method, suitable for the simulation of the time evolution of quantum spin models of arbitrary lattice dimension, is presented. The method combines sampling of the Wigner function with evolution equations obtained from the…

Statistical Mechanics · Physics 2016-05-10 Lorenzo Pucci , Analabha Roy , Michael Kastner

The antiferromagnetic Ising model is investigated on the 20 2-uniform lattices using the Monte-Carlo method based on the Wang-Landau algorithm and the Metropolis algorithm to study the geometric frustration effect systematically. Based on…

Statistical Mechanics · Physics 2017-01-26 Unjong Yu

We propose a generalization of the cavity method to quantum spin glasses on fixed connectivity lattices. Our work is motivated by the recent refinements of the classical technique and its potential application to quantum computational…

Statistical Mechanics · Physics 2009-10-19 C. Laumann , A. Scardicchio , S. L. Sondhi

Due to the brittle feature of carbon fiber reinforced plastic laminates, mechanical multi-joint within these composite components show uneven load distribution for each bolt, which weaken the strength advantage of composite laminates. In…

Machine Learning · Computer Science 2021-05-18 Cheng Qiu , Yuzi Han , Logesh Shanmugam , Fengyang Jiang , Zhidong Guan , Shanyi Du , Jinglei Yang

We demonstrate a versatile method to create state-dependent optical lattices by applying a magnetic field gradient modulated in time. This allows for tuning the relative amplitude and sign of the tunnelling for different internal states. We…

We calculate the magnetic excitation spectrum in the stripe phase of high-T_c materials. The stripes are modeled as coupled spin-1/2 ladders and the spin dynamics is extracted using Quantum Monte Carlo (QMC) simulations, which can capture…

Superconductivity · Physics 2015-06-25 Brian M. Andersen , Olav F. Syljuasen

This review gives an overview on the research of algorithms for dynamical fermions used in large scale lattice QCD simulations. First a short overview on the state-of-the-art of ensemble generation at the physical point is given. Followed…

High Energy Physics - Lattice · Physics 2024-02-20 Jacob Finkenrath

On directed lattices, with half as many neighbours as in the usual undirected lattices, the Ising model does not seem to show a spontaneous magnetisation, at least for lower dimensions. Instead, the decay time for flipping of the…

Statistical Mechanics · Physics 2015-06-25 F. W. S. Lima , D. Stauffer

Frustration, or the competition between interacting components of a network, is often responsible for the complexity of many body systems, from social and neural networks to protein folding and magnetism. In quantum magnetic systems,…

Optimizing a target function over the space of organic molecules is an important problem appearing in many fields of applied science, but also a very difficult one due to the vast number of possible molecular systems. We propose an…

The uncertainties in material and other properties of structures are usually spatially correlated. We introduce an efficient technique for representing and processing spatially correlated random fields in robust topology optimisation of…

Numerical Analysis · Mathematics 2023-12-27 Ismael Ben-Yelun , Ahmet Oguzhan Yuksel , Fehmi Cirak

By means of the recently proposed algorithm based on the tensor product states, the magnetization process of the spin-1/2 anti-ferromagnetic XXZ model on a square lattice is investigated. In the large spin-anisotropy limit, clear evidence…

Strongly Correlated Electrons · Physics 2009-10-05 Pochung Chen , Chen-Yen Lai , Min-Fong Yang

We study the discrete-to-continuum limit of ferromagnetic spin systems when the lattice spacing tends to zero. We assume that the atoms are part of a (maybe) non-periodic lattice close to a flat set in a lower dimensional space, typically a…

Analysis of PDEs · Mathematics 2018-03-16 Andrea Braides , Marco Cicalese , Matthias Ruf