Fermionization of a strongly interacting Bose-Fermi mixture in a one-dimensional harmonic trap - Condensed Matter > Other Condensed MatterReport as inadecuate




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Abstract: We consider a strongly interacting one-dimensional 1D Bose-Fermi mixtureconfined in a harmonic trap. It consists of a Tonks-Girardeau TG gas 1D Bosegas with repulsive hard-core interactions and of a non-interacting Fermi gas1D spin-aligned Fermi gas, both species interacting through hard-corerepulsive interactions. Using a generalized Bose-Fermi mapping, we determinethe exact particle density profiles, momentum distributions and behaviour ofthe mixture under 1D expansion when opening the trap. In real space, bosons andfermions do not display any phase separation: the respective density profilesextend over the same region and they both present a number of peaks equal tothe total number of particles in the trap. In momentum space the bosoniccomponent has the typical narrow TG profile, while the fermionic componentshows a broad distribution with fermionic oscillations at small momenta. Due tothe large boson-fermion repulsive interactions, both the bosonic and thefermionic momentum distributions decay as $C p^{-4}$ at large momenta, like inthe case of a pure bosonic TG gas. The coefficient $C$ is related to thetwo-body density matrix and to the bosonic concentration in the mixture. Whenopening the trap, both momentum distributions -fermionize- under expansion andturn into that of a Fermi gas with a particle number equal to the total numberof particles in the mixture.



Author: Bess Yiyuan Fang University of Singapore, Patrizia Vignolo INLN, Nice, France, Christian Miniatura University of Singapore and IN

Source: https://arxiv.org/







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