Binding energies of composite boson clusters using the Szilard engine

We evaluate the binding energies of systems of bosonic and fermionic particles on the basis of the quantum Szilard engine, which confers an energetic value to information and entropy changes. We extend treatment of the quantum information thermodynamic operation of the Szilard engine to its non-trivial role in Bose-Einstein condensation of the light mass polariton quasiparticle, and binding of large multi-excitonic complexes, and note the same order of magnitudes of exchange and extraction energies in these disparate systems. We examine the gradual decline of a defined information capacitive energy with size of the boson cluster as well as the influence of confinement effects in composite boson systems. Can quantum informational entropy changes partly explain the observations of polariton condensates? We provide energy estimates using the system of polariton condensates placed in a hypothetical quantum Szilard engine, and briefly discuss the importance of incorporating entropy changes introduced during quantum measurements, and in the interpretation of experimental results.