Description
We theoretically investigate pair correlations of spinless fermions in an extended Hubbard chain with attractive nearest neighbor and dipolar interactions. We predict a quantum phase transition between a phase-separated (or droplet) phase and a quasicondensate of $p$-wave Cooper pairs and calculate the critical value of the interaction strength and exponent of quasi-long range order. For the case of nearest neighbor interactions, we prove that the ground state possesses off-diagonal long-range order at the critical point as well as a finite pair-condensate fraction in the thermodynamic limit. Condensate precursors remain for finite systems in the vicinity of the quantum phase transition. Using scattering theory we establish a direct mapping of the model at the critical interaction strength to the fermionic Tonks-Girardeau model and thus to the non-interacting Bose gas in the low-density and low-energy limit. We demonstrate how the pair correlations can be detected by measuring the momentum-space density-density correlation function in experiments with ultracold dipolar atoms or molecules.
| I am the presenting author | Yes |
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