Universität zu Köln

Falco, G. M. and Fedorenko, Andrei A. (2015). Instanton theory for bosons in a disordered speckle potential. Phys. Rev. A, 92 (2). COLLEGE PK: AMER PHYSICAL SOC. ISSN 1094-1622

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Abstract

We study the tail of the spectrum for noninteracting 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.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Falco, G. M. UNSPECIFIED UNSPECIFIED UNSPECIFIED Fedorenko, Andrei A. UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-396500
DOI:	10.1103/PhysRevA.92.023412
Journal or Publication Title:	Phys. Rev. A
Volume:	92
Number:	2
Date:	2015
Publisher:	AMER PHYSICAL SOC
Place of Publication:	COLLEGE PK
ISSN:	1094-1622
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language FUNCTIONAL DETERMINANTS; ANDERSON LOCALIZATION; ELECTRONIC DENSITY; MATTER-WAVES; STATES; DELOCALIZATION; TRANSPORT; SYSTEMS; GASES; ATOMS Multiple languages Optics; Physics, Atomic, Molecular & Chemical Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/39650