Physics – Condensed Matter – Other Condensed Matter
Scientific paper
2008-07-15
Phys. Rev. A 78, 053630 (2008)
Physics
Condensed Matter
Other Condensed Matter
8 pages, 5 figures. This is an extended version of arXiv:0710.2910
Scientific paper
10.1103/PhysRevA.78.053630
We show that dark solitons in 1D Bose liquids may be created by absorption of a single quanta of an external ac field, in a close analogy with the Einstein's photoelectric effect. Similarly to the von Lenard's experiment with photoexcited electrons, the external field's photon energy $\hbar\omega$ should exceed a certain threshold. In our case the latter is given by the soliton energy $\varepsilon_s(\hbar q)$ with the momentum $\hbar q$, where $q$ is photon's wavenumber. We find the probability of soliton creation to have a power-law dependence on the frequency detuning $\omega-\varepsilon_s/\hbar$. This dependence is a signature of the quantum nature of the absorption process and the orthogonality catastrophe phenomenon associated with it.
Glazman Leonid I.
Kamenev A. A.
Khodas M.
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