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A systematic study of both classical and quantum geometric frustrated Ising models with a competing ordering mechanism is reported in this paper. The ordering comes in the classical case from a coupling of 2D layers and in the quantum model…

Statistical Mechanics · Physics 2007-05-23 Ying Jiang , Thorsten Emig

We investigate the potential of bio-inspired evolutionary algorithms for designing quantum circuits with specific goals, focusing on two particular tasks. The first one is motivated by the ideas of Artificial Life that are used to reproduce…

Quantum Physics · Physics 2025-10-02 Shailendra Bhandari , Stefano Nichele , Sergiy Denysov , Pedro G. Lind

In this paper, it is presented a novel strategy to optimize the determination of magnetic couplings by using ab-initio calculations of the energy. This approach allows determining efficiently, in terms of a proposed effective magnetic spin…

Strongly Correlated Electrons · Physics 2020-09-04 J. M. Matera , C. A. Lamas , L. A. Errico , A. V. Gil Rebaza , V. I. Fernández

The statistical mechanics method is developed for determination of generating function of like-sign spin clusters' size distribution in Ising model as modification of Ising-Potts model by K. K. Murata (1979). It is applied to the…

Statistical Mechanics · Physics 2019-05-30 P. N. Timonin

We study the equilibrium and dynamic phase transition properties of two-dimensional Ising model on a decorated triangular lattice under the influence of a time-dependent magnetic field composed of a periodic square wave part plus a time…

Statistical Mechanics · Physics 2023-07-25 Yusuf Yüksel

We put forward the idea of lattice quantum magnetometry, i.e. quantum sensing of magnetic fields by a charged (spinless) particle placed on a finite two-dimensional lattice. In particular, we focus on the detection of a locally static…

Quantum Physics · Physics 2019-06-25 Luca Razzoli , Luca Ghirardi , Ilaria Siloi , Paolo Bordone , Matteo G. A. Paris

We study the Ising spin glass on random graphs with fixed connectivity z and with a Gaussian distribution of the couplings, with mean \mu and unit variance. We compute exact ground states by using a sophisticated branch-and-cut method for…

Disordered Systems and Neural Networks · Physics 2009-11-07 Frauke Liers , Matteo Palassini , Alexander K. Hartmann , Michael Juenger

In this study the magnetization phenomenon has been investigated as a behavior of interacting elementary moments ensemble, with the help of Ising model [1] in the frame of non-extensive statistical mechanics. To investigate the physical…

Statistical Mechanics · Physics 2007-05-23 M. Karabekirogullari , F. Buyukkilic , D. Demirhan

We modified the recently proposed multicanonical MC algorithm for the case of a magnetic field driven order--order phase transition. We test this {\it multimagnetic} Monte Carlo algorithm for the D=2 Ising model at $\beta=0.5$ and simulate…

High Energy Physics - Lattice · Physics 2007-05-23 U. Hansmann , B. A. Berg , T. Neuhaus

The standard approach to encoding constraints in quantum optimization is the quadratic penalty method. Quadratic penalties introduce additional couplings and energy scales, which can be detrimental to the performance of a quantum optimizer.…

Quantum Physics · Physics 2024-12-17 Puya Mirkarimi , David C. Hoyle , Ross Williams , Nicholas Chancellor

We study the frustration properties of the Ising model on several decorated lattices with arbitrary numbers of decorating spins on all bonds of the lattice within an exact analytical approach based on the Kramers--Wannier transfer-matrix…

Statistical Mechanics · Physics 2022-06-22 F. A. Kassan-Ogly , A. V. Zarubin

A method is proposed for exactly calculating the partition function of a rectangular Ising lattice with the presence of a uniform external field. This approach is based on the method of the transfer matrix developed about seventy years ago…

General Physics · Physics 2013-10-02 C. B. Yang

We propose two different macroscopic dynamics to describe the decay of metastable phases in many-particle systems with local interactions. These dynamics depend on the macroscopic order parameter $m$ through the restricted free energy…

Condensed Matter · Physics 2016-08-31 J. Lee , M. A. Novotny , P. A. Rikvold

We study the effects of lattice deformations on the Kagome spin ice, with Ising spins coupled by nearest neighbor exchange and long range dipolar interactions, in the presence of in-plane magnetic fields. We describe the lattice energy…

Strongly Correlated Electrons · Physics 2013-11-27 F. A. Gómez Albarracín , D. C. Cabra , H. D. Rosales , G. L. Rossini

We consider quantum brachistochrone evolution for a spin-$s$ system on rotational manifolds. Such manifolds are determined by the rotation of the eigenstates of the operator of projection of spin-$s$ on some direction. The Fubini-Study…

Quantum Physics · Physics 2015-06-24 A. R. Kuzmak , V. M. Tkachuk

Thermodynamic properties of the ferromagnetic Ising model on the hierarchical pentagon lattice is studied by means of the tensor network methods. The lattice consists of pentagons, where 3 or 4 of them meet at each vertex. Correlation…

Statistical Mechanics · Physics 2024-07-08 Takumi Oshima , Tomotoshi Nishino

Using spatial light interference of ultrafast laser pulses, we generate a lateral modulation in the magnetization profile of an otherwise uniformly magnetized film, whose magnetic excitation spectrum is monitored via the coherent and…

Mesoscale and Nanoscale Physics · Physics 2019-02-26 C. L. Chang , S. Mieszczak , M. Zelent , V. Besse , U. Martens , R. R. Tamming , J. Janusonis , P. Graczyk , M. Münzenberg , J. W. Kłos , R. I. Tobey

In this work, we leverage atomistic spin-lattice simulations to examine how magnetic interactions impact the propagation of sound waves through a ferromagnetic material. To achieve this, we characterize the sound wave velocity in BCC iron,…

Materials Science · Physics 2022-04-27 P. Nieves , J. Tranchida , S. Nikolov , A. Fraile , D. Legut

We have designed and realized magnetic trapping geometries for ultracold atoms based on permanent magnetic films. Magnetic chip based experiments give a high level of control over trap barriers and geometric boundaries in a compact…

Atomic Physics · Physics 2019-02-13 A. L. La Rooij , H. B. van Linden van den Heuvell , R. J. C. Spreeuw

We have investigated the relation between magnetic ordered structure and magnetic refrigeration efficiency in the Ising model on a simple cubic lattice using Monte Carlo simulations. The magnetic entropy behaviors indicate that the…

Materials Science · Physics 2014-08-22 Ryo Tamura , Shu Tanaka , Takahisa Ohno , Hideaki Kitazawa