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Induced pairing of fermionic impurities in a one-dimensional strongly correlated Bose gas

Induced pairing of fermionic impurities in a one-dimensional strongly correlated Bose gas

We investigate numerically the problem of few (one or two) noninteracting spin-$1/2$ fermions in a shallow harmonic trap coupled via contact repulsive interactions to a uniform one-dimensional bath of lattice bosons, described by the Bose-Hubbard model. Through extensive density-matrix renormalization group calculations, we extract the binding energy and the effective …