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Polarized states and domain walls in spinor Bose-Einstein condensates
Spin polarization antiferromagnetic phase condensate Thomas Fermi schema types
2014/12/25
We study spin-polarized states and their stability in the antiferromagnetic phase of spinor (F=1) quasi-one-dimensional Bose-Einstein condensates. Using analytical approximations and numerical methods...
Radially symmetric nonlinear states of harmonically trapped Bose-Einstein condensates
Spectrum quantum harmonic oscillator nonlinear function linear stability
2014/12/25
Starting from the spectrum of the radially symmetric quantum harmonic oscillator in two dimensions, we create a large set of nonlinear solutions. The relevant three principal branches, with nr=0,1, an...
Excited states in the Thomas–Fermi limit: a variational approach
Excited state condensate semi-classical Thomas Fermi extreme exclusion
2014/12/24
Excited states of Bose–Einstein condensates are considered in the semi-classical (Thomas- Fermi) limit of the Gross–Pitaevskii equation with repulsive inter-atomic interactions and a harmonic potentia...
About the posterior distribution in hidden Markov Models with unknown number of states
Hidden Markov models number of components order selection Bayesian statistics posterior distribution
2012/9/19
In this paper, we investigate the asymptotic behaviour of the posterior distribution in hidden Markov models (HMMs) when using Bayesian methodology. We obtain a general asymptotic result, and give con...
This article introduces the decisional states of system, and
provides a practical algorithm for computing them. The
decisional states are de ned as the internal states of a
system that lead to the ...
Diagonalizability of non-homogenous quantum Markov states and associated von Neumann algebras
Quantum probability mathematical statistical mechanics classfication of von Neumann factors
2009/9/21
We give a constructive proof of the fact that any Marc
kov state (even non-homogeneous) on &Iz M,, is diagonalizable.
However, due to the focal entanglement effects, thky are not necessarily
of Isi...
Penalized estimate of the number of states in Gaussian linear AR with Markov regime
Autoregressive processes hidden Markov chains penalized maximum likelihood
2009/9/16
We deal with the estimation of the regime number in a linear Gaussian autoregressive process with a Markov regime (AR-MR). The problem of estimating the number of regimes in this type of series is tha...