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Physical manifestation of quantum fluctuations in Bose-Einstein condensates and their implications for superfluid flow

David C K Roberts, Yves Pomeau A

Published Mar 31, 2005• 0 citations
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This thesis examines the manifestation of the critical velocity for superfluidity in dilute gas Bose-Einstein condensates (BECs). Superfluidity is a macroscopic quantum phenomenon characterised by unique properties such as frictionless flow, high thermal conductivity and the presence of quantised vortices. Our study focuses on what is arguably the most well-known attribute: the ability for an object to move through a superfluid without experiencing a drag force when travelling below a threshold critical velocity.The Landau criterion for superfluidity predicts the critical velocity in a BEC is equal to the speed of sound, and this conclusion is supported by a large body of theoretical work. However, a number of experiments have observed lower critical velocities than theory predicts. In the first part of this thesis, we numerically model experiments on the superfluid critical velocity of an elongated, harmonically trapped Bose-Einstein condensate as reported by [P. Engels and C. Atherton, Phys. Rev. Lett. 99, 160405 (2007)]. These experiments swept a repulsive obstacle, formed by a optical dipole potential, through the long axis of a condensate at constant velocity. Their results found an increase in the resulting density fluctuations of the condensate above an obstacle velocity of v _ 0:3 mm s
The study of exotic states of matter, particularly superfluids and Bose-Einstein condensates (BECs), has revolutionized our understanding of quantum mechanics in macroscopic systems. This article explores the thermodynamic properties of these states, focusing on their unique behavior at ultra-low temperatures. Superfluids exhibit zero viscosity and anomalous flow characteristics, while Bose-Einstein condensates, formed by cooling bosons to near absolute zero, present quantum phenomena on a macroscopic scale. This paper reviews key thermodynamic concepts, such as entropy, heat capacity, and chemical potential, as they apply to these exotic phases. Additionally, the relationship between quantum coherence and thermodynamic stability in superfluids and BECs is examined, along with the practical implications for quantum technologies.