Momentum reconstruction and contact of the one-dimensional Bose-Fermi mixture
arXiv:1811.08692 · doi:10.1103/PhysRevA.99.013628
Abstract
We investigate the one-dimensional mixture of scalar bosons and spin polarized fermions interacting through a -function potential. Using a thermodynamic description derived by employing a lattice embedding of the continuum model and the quantum transfer matrix method we perform a detailed analysis of the contact and quantum critical behaviour. We show that the compressibility Wilson ratio presents anomalous enhancement at the quantum critical points and that the boundaries of the quantum critical regions can be well mapped by the maxima of the specific heat. As a function of the coupling strength and temperature the contact presents nonmonotonic behavior. In the strong coupling regime the local minimum exhibited by the contact as a function of temperature is accompanied by a significant momentum reconstruction at both low and high momenta. This momentum reconstruction occurs as the system crosses the boundary between the Tomonaga-Luttinger liquid phase to the spin-incoherent regime and provides an experimental signature of the transition.
16 pages, 7 figures, RevTeX 4.1
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