Bose-Einstein Condensation in Compactified Spaces
Kiyoshi Shiraishi
TL;DR
This paper explores how the critical temperature for Bose-Einstein condensation in a charged Bose gas varies with the size of extra compactified dimensions, highlighting the influence of higher-dimensional space on quantum phase transitions.
Contribution
It introduces a detailed analysis of Bose-Einstein condensation in arbitrary dimensions with compactified spaces, revealing the dependence of critical temperature on extra-dimensional geometry.
Findings
Critical temperature depends on the size of extra dimensions.
Asymmetry in Kaluza-Klein charge affects condensation.
Thermodynamic potential analyzed in arbitrary dimensions.
Abstract
We discuss the thermodynamic potential of a charged Bose gas with the chemical potential in arbitrary dimensions. The critical temperature for Bose-Einstein condensation is investigated. In the case of the compactified background metric, it is shown that the critical temperature depends on the size of the extra spaces. The asymmetry of the "Kaluza-Klein charge" is also discussed.
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