This paper presents a novel and generic distributed swarm guidance algorithm using inhomogeneous Markov chains that guarantees superior performance over existing homogeneous Markov chain based algorithms, when the feedback of the current swarm distribution is available. The probabilistic swarm guidance using inhomogeneous Markov chain (PSG–IMC) algorithm guarantees sharper and faster convergenc...

The N site open XXZ quantum spin chain with a right non-diagonal boundary and special diagonal left boundary is considered. The boundary non-local charges originally obtained from a field theoretical viewpoint, for the sine Gordon model on the half line, are recovered from the spin chain point of view. Furthermore, the symmetry of the open spin chain is exhibited. More specifically, we show tha...

We discuss the origin of an enigmatic low-temperature behavior some one-dimensional decorated spin systems which was coined pseudo-transition. Tracing out parts results in standard Ising-chain model with temperature-dependent parameters and unexpected thermodynamic quantities correlations chains can be tracked down critical point at H=0 T=0. illustrate this perspective using as examples spin-1/...

Linear response theory (LRT) is a powerful tool for investigating classical and quantum systems when perturbed by some external forces, connecting experimental observables with the correlation functions of system in equilibrium states. On other hand, entanglement entropy (EE), or von Neumann entropy, an important measure non-classical correlations information science. As EE not normal physical ...

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The natural su(N) generalization of the XX model is introduced and analyzed. It is defined in terms of the characterizing properties of the usual XX model: the existence of two infinite sequences of mutually commuting conservation laws and the existence of two infinite sequences of mastersymmetries. The integrability of these models, which cannot be obtained in a degenerate limit of the su(N)-X...

We calculate the local correlation functions of charge and spin for the one-chain and two-chain Hubbard model using the density matrix renormalization group method and the recursion technique. Keeping only finite number of states we get good accuracy for the low energy excitations. We study the charge and spin gaps, bandwidths and weights of the spectra for various values of the on-site Coulomb...