The Ground State of the One-Dimensional Ising ChainByron Jennings
A complete solution of the ground-state problem for the Ising model on an anisotropic triangular lattice with the nearest-neighbor interactions in a magnetic field is presented. It is shown that this problem can be reduced to the ground-state problem for an infinite chain with the interactions ...
We show that the Svetlichny function evaluated using the simulated ground state of the Ising chain violates the N- party local-realistic bound that, even for a short chain, is very close to the quantum critical point defined in the thermodynamic limit N R '. By exploiting the analytical ...
The ground-state properties of several systems showing the Toulouse frustration effect are investigated analytically. First, the energy and entropy of the random-bond Ising chain in a uniform field are obtained for all concentrations of ... B Derrida,J Vannimenus,Y Pomeau - 《Journal of Physics...
Stochastic series expansion quantum Monte Carlo is used to study the groundstate of the antiferromagnetic spin-1 Heisenberg chain with bond disorder.Typical spin- and string-correlations functions behave in accordance withreal-space renormalization group predictions for the random-singlet phase. Theaverage...
A method of deriving geometrical inequalities by the use of which the ground state of the extended-range classical lattice gas model can be analytically determined is developed. As illustrative examples the ground states in the simple cubic lattice and the linear chain both with 1st, 2nd and 3rd...
arXiv:cond-mat/0403038v1 [cond-mat.dis-nn] 1 Mar 2004Typeset with jpsj2.cls <ver.1.2> Full PaperExact Ground-State Energies of the Random-Field Ising Chain and LadderToshiyuki Hamasaki and Hidetoshi NishimoriDepartment of Physics, Tokyo Institute of Technology, Oh-okayama, Meguro-ku...
摘要: We consider a finite chain of particles in one dimension, interacting through the Lennard-Jones potential. We prove the ground state is unique, and approaches uniform spacing in the infinite-particle limit.关键词: Theoretical or Mathematical/ lattice theory and statistics Lennard-Jones ...
When trained on random Hamiltonians of nearest-neighbour spin glasses, the RL agent is able to control the SA process for other Hamiltonians, reaching the ground state with a higher probability than a simple linear annealing schedule. Furthermore, the scaling performance (with respect to system ...
Engineering Ising-XY spin-models in a triangular lattice using tunable artificial gauge fields Further, the superfluid ground state presents strong analogies with the paradigm example of the fully frustrated XY model on a triangular lattice... J Struck,M Weinberg,?lschl?ger, C.,... - 《Nature...