• Spectral intensity distribution of trapped fermions

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      https://www.ias.ac.in/article/fulltext/pram/085/04/0605-0616

    • Keywords

       

      Trapped fermions; local density approximation; spectral intensity distribution function.

    • 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 spin-$\frac{1}{2}$ 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.

    • Author Affiliations

       

      Sudeep Kumar Ghosh1

      1. Centre for Condensed Matter Theory, Department of Physics, Indian Institute of Science, Bangalore 560 012, India
    • Dates

       
  • Pramana – Journal of Physics | News

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