Lattice calculations for two-component fermion systems with unequal masses: one dimension

2018/06/22 by Serdar Elhatisari, Elhatisari, Serdar
Physics and Astronomy · #Atomic Physics (physics.atom-ph) #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #Nuclear Theory (nucl-th) #Quantum Gases (cond-mat.quant-gas) #cond-mat.quant-gas #hep-lat #nucl-th #physics.atom-ph

paper · pdf · doi:10.48550/arxiv.1806.08591

11 pages, 8 figures. Submitted to Turkish Journal of Physics

arxiv created 2018/06/22 · arxiv updated 2018/06/25

Abstract

We consider systems of two-component fermions with unequal masses and interacting via a short-range attractive potential. We discuss the case where the two-component fermions form a shallow dimer with large scattering length. The three-fermion and four-fermion systems with such properties are universal and charazteried by the two-fermion scattering length a_ff and the ratio of the mass of spin-\uparrow fermion to the mass of spin-\downarrow fermion, m_\uparrow/m_\downarrow. In this study using lattice effective field theory we analyze fermion-dimer and dimer-dimer systems, and calculate the universal fermion-dimer and dimer-dimer scattering lengths for various values of the mass ratio m_\uparrow/m_\downarrow. We find that these universal scattering lengths increase logarithmically with the mass ratio m_\uparrow/m_\downarrow.

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