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Emptiness Formation Probability in 1D Bose Liquids by Yeh, Hsiu-Chung; Kamenev, Alex is a scholarly article available to read on EtoBox.

What is Emptiness Formation Probability in 1D Bose Liquids about?

We study emptiness formation probability (EFP) in interacting 1D Bose liquids. That is the probability that a snapshot of its ground state reveals exactly zero number of particles within the interval $|x|<R$. For a weakly interacting liquid there is parametrically wide regime $n^{-1} < R <\xi$ (here $n$ is the average density and $\xi$ is the healing length), where EFP exhibits a non-trivial crossover from the Poisson to the Gaussian behavior. We employ the instanton technique [A. Abanov, 2004] to study quantitative details of these regime and compare it with previously reported limited cases.

Author

Yeh, Hsiu-Chung; Kamenev, Alex

Published

2019

Language

EN