Spectral intensity distribution of trapped

Ghosh, Sudeep Kumar (2015) Spectral intensity distribution of trapped. In: PRAMANA-JOURNAL OF PHYSICS, 85 (4). pp. 605-616.

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Abstract

To calculate static response properties of a many-body system, local density approximation (LDA) can be safely applied. But, to obtain dynamical response functions, the applicability of LDA is limited bacause dynamics of the system needs to be considered as well. To examine this in the context of cold atoms, we consider a system of non-interacting spin4 fermions confined by a harmonic trapping potential. We have calculated a very important response function, the spectral intensity distribution function (SIDF), both exactly and using LDA at zero temperature and compared with each other for different dimensions, trap frequencies and momenta. The behaviour of the SIDF at a particular momentum can be explained by noting the behaviour of the density of states (DoS) of the free system (without trap) in that particular dimension. The agreement between exact and LDA SIDFs becomes better with increase in dimensions and number of particles.

Item Type:	Journal Article
Publication:	PRAMANA-JOURNAL OF PHYSICS
Publisher:	INDIAN ACAD SCIENCES
Additional Information:	Copy right for this article belongs to the INDIAN ACAD SCIENCES, C V RAMAN AVENUE, SADASHIVANAGAR, P B #8005, BANGALORE 560 080, INDIA Categories / Classification
Keywords:	Trapped fermions; local density approximation; spectral intensity distribution function
Department/Centre:	Division of Physical & Mathematical Sciences > Physics
Date Deposited:	19 Nov 2015 04:54
Last Modified:	19 Nov 2015 04:54
URI:	http://eprints.iisc.ac.in/id/eprint/52772

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