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Understanding the sustainability of current groundwater extractions is critical in the face of changing climate and anthropogenic conditions, but this proves challenging in areas with complex, and not well understood, hydrogeology. A combination of unsupervised (self-organizing map, SOM) and supervised (long short-term memory, LSTM) models is demonstrated here to effectively abstract prevalent patterns from a diverse set of groundwater monitoring time series in the dry and hydrogeologically complicated Namoi region, enabling predictions of water levels based on climate and anthropogenic conditions to be made using a set of regional deep-learning based neural networks. By drawing on shared pattern information from across the Namoi system, the SOM reduces the complexity of the multiple time series, shares information between sparse time series which could not be modelled with the LSTM individually, adds a spatial aspect to the LSTM analysis, and provides a valuable visual analysis that enhances communication and decision-making.

We analyze the dynamical melting of two-component atomic Mott-Insulator states in a completely-connected optical lattice within the adiabatic approximation. We examine in detail the effect of the dynamical phase acquired by the state during the adiabatic melting of the lattice potential. We show how for certain limits an on-site superposition state with two particles per site melts into a macroscopic superposition state, while an on-site superposition state with only one particle per site melts into a coherent state. © 2008 IOP Publishing Ltd.

We investigate cold bosonic impurity atoms trapped in a vortex lattice formed by condensed bosons of another species. We describe the dynamics of the impurities by a bosonic Hubbard model containing occupation-dependent parameters to capture the effects of strong impurity-impurity interactions. These include both a repulsive direct interaction and an attractive effective interaction mediated by the Bose-Einstein condensate. The occupation dependence of these two competing interactions drastically affects the Hubbard model phase diagram, including causing the disappearance of some Mott lobes.