Quantum Control of Nanoparticles at Low Temperature

Abstract

In this work, quantum control of nanoparticles at low temperature s considered. It would be quite interesting for scientists and researchers to take the well known nanoparticles at the scale of 10􀀀9m(=1nm) as they are at proper low temperature. It is desired to create Bose-Einstein-Condensates (BEC) with the nanoparticles. In our former study (cf. [Wang, 2016]) of controlling nanoparticle, the density function theory (DFT) described by time-dependent Schr¨odinger equation had been utilized to apply control theory to nanoparticles at matter surface. In the framework of Thomas-Fermi (TF) model, nanoparticles governed quantum system had been considered in the complex Hilbert spaces. In this investigation, the factor of temperature is taken account into time dependent Schr¨odinger equation. First, physically, a lot of questions will be arising in here for the control purpose of BEC phenomena of low temperature. Such as, whether BEC can be created using nanoparticles? what can the nanoparticles do at low temperature? which differences have for the nanoparticles BEC than other size particles? how control would be proceeded for nanoparticles at magnetic-electric field? Second, theoretically, how to apply of quantum control theory to nanoparticles BEC in the framework of variational theory? Then, how to get the first hand theoretic results to do nanoparticles control at low temperature. Review current contributed work and literatures, the survey of control Bose-Einstein-Condenstates had been occurred at amount of areas and had obtained significant milestone results as atomic particles (e.g. 87Rb, 7Li, 23Na,52Cr, 39K) cooling to temperature below of BEC thresholds. Indeed, the behavior of nanoparticles at the room temperature had also been considered, and had already been created to Carbon (C) nanotube, nanowire, nanomotor, nanorod as advanced materials. Particularly, the focus point is nanoparticles at low temperature, what is happened? the exciting and attractive conclusion will be hoped in this paper. As a kind of prediction, this theoretical research for control of nanoparticles would be fairly interesting, the control theory could be applied to these sort of nanoparticles perfectly. Without lost of generality, the nanoparticles composed BEC will be much more useful and can be quickly utilized to real society in the world. It is good to connect these researches to chemical and physical laboratory, and to do further interdisciplinary work concerning the control of quantum system.