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arXiv · 1811.01790

Dynamic structure function of two interacting atoms in 1D

David Ledesma·Alejandro Romero-Ros·Artur Polls·Bruno Juliá-Díaz
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Abstract

We consider two atoms trapped in a one-dimensional harmonic oscillator potential interacting through a contact interaction. We study the transition from the non-interacting to the strongly interacting Tonks-Girardeau state, as the interaction is varied from zero to infinitely large repulsive values. The dynamic structure function is computed by means of direct diagonalization calculations with a finite number of single particle modes. The response of the system against a monopolar perturbation is characterized by the moments of the dynamic structure function which are explicitly calculated from the dynamic structure function and by means of sum rules.

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David Ledesma, Alejandro Romero-Ros, Artur Polls, Bruno Juliá-Díaz. 2018-11-05. Dynamic structure function of two interacting atoms in 1D. https://doi.org/10.1209/0295-5075%2F127%2F56001

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