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- W3195943683 abstract "We analyze the thermodynamic Casimir effect occurring in a gas of non-interacting bosons confined by two parallel walls with a strongly anisotropic dispersion inherited from an underlying lattice. In the direction perpendicular to the confining walls the standard quadratic dispersion is replaced by the term $|{bf p}|^{alpha}$ with $alpha geq 2$ treated as a parameter. We derive a closed, analytical expression for the Casimir force depending on the dimensionality $d$ and the exponent $alpha$, and analyze it for thermodynamic states in which the Bose-Einstein condensate is present. For $alphain{4,6,8,dots}$ the exponent governing the decay of the Casimir force with increasing distance between the walls becomes modified and the Casimir amplitude $Delta_{alpha}(d)$ exhibits oscillations of sign as a function of $d$. Otherwise we find that $Delta_{alpha}(d)$ features singularities when viewed as a function of $d$ and $alpha$. Recovering the known previous results for the isotropic limit $alpha=2$ turns out to occur via a cancellation of singular terms." @default.
- W3195943683 created "2021-08-30" @default.
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- W3195943683 date "2021-08-01" @default.
- W3195943683 modified "2023-09-27" @default.
- W3195943683 title "Casimir forces for the ideal Bose gas in anisotropic optical lattices: the effect of alternating sign upon varying dimensionality" @default.
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- W3195943683 doi "https://doi.org/10.1088/1742-5468/ac0c73" @default.
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