Perturbative correction to the ground state properties of one-dimensional strongly interacting bosons in a harmonic trap - Condensed Matter > Quantum GasesReport as inadecuate




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Abstract: We calculate the first-order perturbation correction to the ground stateenergy and chemical potential of a harmonically trapped boson gas with contactinteractions about the infinite repulsion Tonks-Girardeau limit. With $c$denoting the interaction strength, we find that for a large number of particles$N$ the $1-c$ correction to the ground state energy increases as $N^{5-2}$, incontrast to the unperturbed Tonks-Girardeau value that is proportional to$N^2$. We describe a thermodynamic scaling limit for the trapping frequencythat yields an extensive ground state energy and reproduces the zerotemperature thermodynamics obtained by a local density approximation.



Author: Francis N. C. Paraan, Vladimir E. Korepin

Source: https://arxiv.org/







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