2015/10/02 by Humberto G. Laguna, Robin P. Sagar, David G. Tempel +3
Chemistry · Physics and Astronomy · #Advanced Physical and Chemical Molecular Interactions #Coupling (piping) #Coupling strength #Delocalized electron #Electrostatics and Colloid Interactions #Entropy (arrow of time) #Momentum (technical analysis) #Position and momentum space #Quantum #Quantum, superfluid, helium dynamics #quant-ph
paper · pdf · doi:10.1039/c5cp05927e
published as Phys. Chem. Chem. Phys., 2016,18, 436-447 · 32 pages, 12 figures
arxiv created 2015/10/02 · openalex publication_date 2015/11/23 · openalex created_date 2016/06/24 · arxiv updated 2018/10/22 · openalex updated_date 2026/08/06
The effects of bath coupling on an interacting two-particle quantum system are studied using tools from information theory. Shannon entropies of the one (reduced) and two-particle distribution functions in position, momentum and separable phase-space are examined. Results show that the presence of the bath leads to a delocalization of the distribution functions in position space, and a localization in momentum space. This can be interpreted as a loss of information in position space and a gain of information in momentum space. The entropy sum of the system, in the presence of a bath, is shown to be dependent on the strength of the interparticle potential and also on the strength of the coupling to the bath. The statistical correlation between the particles, and its dependence on the bath and interparticle potential, is examined using mutual information. A stronger repulsive potential between particles, in the presence of the bath, yields a smaller correlation between the particles positions, and a larger one between their momenta.