Thermocrystallization in Lattice Dipolar Bosons Coupled to a High-finesse Cavity

Ultracold bosons trapped in optical lattices and coupled to a high-finesse cavity have been theoretically shown to stabilize supersolid phases at zero temperature for a vast range of densities ADD REF. In this talk, we will address the robustness of superfluidity and density-density correlations against temperature fluctuations. Our results our based on path-integral Monte Carlo by the Worm algorithm. Interestingly, we observe that the presence of cavity-mediated interactions is responsible for thermocrystallization. Indeed, with increasing temperature, density-density correlations are observed at densities and Hamiltonian parameters for which the ground state does feature such correlations. Our results provide valuable insights into the parameter space and temperature range for the detection of solid and supersolid phases.