Instanton theory for bosons in disordered speckle potential
arXiv:1505.01671 · doi:10.1103/PhysRevA.92.023412
Abstract
We study the tail of the spectrum for non-interacting bosons in a blue-detuned random speckle potential. Using an instanton approach we derive the asymptotic behavior of the density of states in d dimensions. The leading corrections resulting from fluctuations around the saddle point solution are obtained by means of the Gel'fand-Yaglom method generalized to functional determinants with zero modes. We find a good agreement with the results of numerical simulations in one dimension. The effect of weak repulsive interactions in the Lifshitz tail is also discussed.
12 pages, 3 figures, revtex4
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Cited by in corpus (5)
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- Semiclassical spectral function and density of states in speckle potentials
- On functional determinants of matrix differential operators with multiple zero modes
- Wave function correlations and the AC conductivity of disordered wires beyond the Mott-Berezinskii law
- Gelfand-Yaglom formula for functional determinants in higher dimensions