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arXiv · 1609.02229

Quantum lattice gas model of spin-2 Bose-Einstein condensates and closed-form analytical continuation of nonlinear interactions in spin-2 superfluids

Jeffrey Yepez
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Abstract

Presented is an unitary operator splitting method for handling the spin-density interaction in spinor Bose-Einstein condensates. The zero temperature behavior of a spinor BEC is given by mean field theory, where the Hamiltonian includes a nonlinear hyperfine spin interaction. This hyperfine interaction has a diagonal probability-density term (leading to the usual Gross-Pitaevskii type equation of motion) but also has a nondiagonal spin-density term. Since the F=2 spinor BEC (spin-2 BEC) has a non-Abelian superfluid phase (nonperturbative cyclic phase in the strong spin-density coupling regime), an infinite-order expansion of the quantum evolution operator is needed for quantum simulation applications. An infinite-order expansion, obtained by analytical continuation and expressed in analytically closed form, for the spin-2 BEC is presented.

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Jeffrey Yepez. 2016-09-08. Quantum lattice gas model of spin-2 Bose-Einstein condensates and closed-form analytical continuation of nonlinear interactions in spin-2 superfluids. https://arxiv.org/abs/1609.02229

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