C. T. Weiß, P. V. Mironova, J. Fortágh, W. P. Schleich, R. Walser
Published 2013-07-08, updated 2013-10-01Version 3
We investigate the sympathetic relaxation of a free-standing, vibrating carbon nano-tube that is mounted on an atom chip and is immersed in a cloud of ultra-cold atoms. Gas atoms colliding with the nano-tube excite phonons via a Casimir-Polder potential. We use Fermi's Golden Rule to estimate the relaxation rates for relevant experimental parameters and develop a fully dynamic theory of relaxation for the multi-mode phononic field embedded in a thermal atomic reservoir. Based on currently available experimental data, we identify the relaxation rates as a function of atom density and temperature that are required for sympathetic ground state cooling of carbon nano-tubes.
Comments: 12 pages, 3 color eps figures refereed, improved version, to be published in Phys. Rev. A
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