D. Angom

Quantum spectrum as a time series: fluctuation measures.

The fluctuations in the quantum spectrum could be treated like a time series. In this framework, we explore the statistical self-similarity in the quantum spectrum using the detrended fluctuation analysis (DFA) and random matrix theory (RMT). We calculate the Hausdorff measure for the spectra of atoms and Gaussian ensembles and study their self-affine properties. We show that DFA is equivalent to the Delta3 statistics of RMT, unifying two different approaches. We exploit this connection to obtain theoretical estimates for the Hausdorff measure.

Critical temperature for Bose-Einstein condensation in quartic potentials

Abstract.The quartic confining potential has emerged as a key ingredient to obtain fast rotating vortices in BEC as well as observation of quantum phase transitions in optical lattices. We calculate the critical temperature Tc of bosons at which normal to BEC transition occurs for the quartic confining potential. Further more, we evaluate the effect of finite particle number on Tc and find that ΔTc/Tc is larger in quartic potential as compared to quadratic potential for number of particles <105. Interestingly, the situation is reversed if the number of particles is

Chaos and localization in the wave functions of complex atoms Nd I, Pm I, and Sm I

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Ground state geometry of binary condensates in axisymmetric traps

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Strength functions, entropies, and duality in weakly to strongly interacting fermionic systems.

Wave functions of complex lanthanide atoms

Thermal suppression of phase separation in condensate mixtures

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Electric dipole polarizability of alkaline-earth-metal atoms from perturbed relativistic coupled-cluster theory with triples

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Phase separation of binary condensates in harmonic and lattice potentials

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Relativistic coupled-cluster calculations of N 20 e , A 40 r , K 84 r , and X 129 e : Correlation energies and dipole polarizabilities

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Annihilation of vortex dipoles in an oblate Bose–Einstein condensate

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