Thermodynamic observables for AMO systems

Thermodynamic observables are computed by taking a statistical average over all possible system configurations. While the thermalization of a classical system is fairly understood, the counterpart for a quantum system is not true. The goal of this work is to explore the analogue quantum simulation at finite temperature. We study the thermodynamic averaging process to compute the observables, particularly with the Rydberg atom chains. In particular, we consider a spin chain of Rydberg atoms, modeled by the XXZ Hamiltonian, in contact with a bath. We model the system-bath interactions such that they lead to an ensemble of subchains of variable lengths within the spin chain, emulating the grand-canonical averaging process. We use the numerical techniques like the Metropolis scheme and the collisional models to study the nature of the steady states. We highlight the accessibility of the Rydberg interactions for creating an ensemble of subchains, and propose an experimental realization of this construct with the Rydberg atoms.