Dimers, Effective Interactions, and Pauli Blocking Effects in a Bilayer of Cold Fermionic Polar Molecules

TL;DR

This paper investigates the properties of dimers formed by cold fermionic polar molecules in a bilayer setup, analyzing their binding energies, effective interactions, and the influence of Pauli blocking on many-body phases.

Contribution

It provides a detailed analysis of dimer binding energies, effective interactions, and the impact of Pauli blocking in a bilayer of cold fermionic polar molecules, with implications for many-body physics.

Findings

Binding energies of dimers are calculated and compared with analytic approximations.

Effective dimer-dimer interactions are derived and tested for robustness.

Pauli blocking significantly influences the many-body phase diagram.

Abstract

We consider a bilayer setup with two parallel planes of cold fermionic polar molecules when the dipole moments are oriented perpendicular to the planes. The binding energy of two-body states with one polar molecule in each layer is determined and compared to various analytic approximation schemes in both coordinate- and momentum-space. The effective interaction of two bound dimers is obtained by integrating out the internal dimer bound state wave function and its robustness under analytical approximations is studied. Furthermore, we consider the effect of the background of other fermions on the dimer state through Pauli blocking, and discuss implications for the zero-temperature many-body phase diagram of this experimentally realizable system.