Abstract
The immersion of the Fermi–Hubbard optical dimer in a mean field Fermi gas, acting as a heat bath, modifies the behavior of the statistical mechanical properties of the particles trapped in it. This is done by varying the two-particle interactions induced by the heat bath and the onsite two-particle interaction
U. It is shown that in the presence of the heat bath-induced interaction, the partition function
Z drops to a minimum finite value in the repulsive regime of
U at the normalized temperature region
kT ≲
t/2, where
t is the tunneling parameter. In this temperature region, the convergence points of the respective isolines of the entropy
S and the heat capacity
Cᵥ move towards each other. Such shift in their features finetune
S and
Cᵥ relative to their behavior in the absence of two-particle interactions with the bath.
