We qualitatively investigate the effect of zero-point motion (ZPM) on the structure and propertiesof a film composed of quantum particles adsorbed on a graphite substrate. The amplitude of ZPMis controlled by a change of the particle mass while keeping the interactions fixed. In that sense itis assumed that the interactions can be controlled by future doping methods. The worm-algorithmpath integral Monte Carlo (WAPIMC) method is applied to simulate this system in the grandcanonicalensemble, where particles can be exchanged with the external particle reservoir. Anothermethod, namely the multiconfigurational time-dependent Hartree method for bosons (MCTDHB)is additionally applied to verify some of the WAPIMC results and to provide further informationon the entropy and the condensate fraction. Several important findings are reported. It is foundthat ZPM plays an important role in defining order and disorder in the crystalline structure of theadsorbed film. The total energy of the film drops with a reduction in the amplitude of ZPM, that is,it becomes more negative which is an indication to stronger adsorption. For a few particle numbers,a significant condensate fraction is detected that however drops sharply at critical values of the ZPMamplitude. Most importantly, a connection is established between chaos, in coordinate as well asmomentum space, and the Heisenberg uncertainty principle. The importance of the present studylies in the fact that adsorbed two-dimensional films serve as an excellent experimental testbed fordemonstrating low-dimensional quantum phenomena in the ground state. The present examinationcontributes also to a further understanding of the properties of heavy quantum particles adsorbedon substrates.
Effect of Zero-Point Motion on Properties of Quantum Particles adsorbed on a Substrate
- Details
- Written by Amer D. Al-Oqali, Roger R. Sakhel, and Asaad R. Sakhel,
- Category: Physics
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Abstract :