Photo-Solitonic Effect

Abstract

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 $\hslash \omega$ should exceed a certain threshold. In our case the latter is given by the soliton energy ${\epsilon }_s(\hslash q)$ with the momentum $\hslash q$, where $q$ is photon's wavenumber. We find the probability of soliton creation to have a power-law dependence on the frequency detuning $\omega -{\epsilon }_s/\hslash$. This dependence is a signature of the quantum nature of the absorption process and the orthogonality catastrophe phenomenon associated with it.

8 pages, 5 figures. This is an extended version of arXiv:0710.2910

References in corpus (7)

• Dynamical density-density correlations in the one-dimensional Bose gas
• Dynamic response of one-dimensional interacting fermions
• Exact edge singularities and dynamical correlations in spin-1/2 chains
• Exact exponents of edge singularities in dynamic correlation functions of 1D Bose gas
• Dynamics of excitations in a one-dimensional Bose liquid
• Threshold singularities in the dynamic response of gapless integrable models
• Theory of subgap interchain tunneling in quasi one-dimensional conductors

Cited by in corpus (18)

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• Nonuniversal prefactors in correlation functions of 1D quantum liquids
• Critical velocity of a mobile impurity in one-dimensional quantum liquids
• Ground-state energy and excitation spectrum of the Lieb-Liniger model : accurate analytical results and conjectures about the exact solution
• Hydrodynamics of cold atomic gases in the limit of weak nonlinearity, dispersion and dissipation
• Dynamic response of 1D bosons in a trap
• Quantum impurities: from mobile Josephson junctions to depletons
• Correlation lengths of the repulsive one-dimensional Bose gas
• Decay of Bogoliubov excitations in one-dimensional Bose gases
• Exact spectral function of a Tonks-Girardeau gas in a lattice
• Fate of classical solitons in one-dimensional quantum systems
• The Fine Structure of the Phonon in One Dimension from Quantum Hydrodynamics
• Quantum gray solitons in confining potentials
• Mobile impurities in integrable models
• Solitons in One Dimensional Systems at BCS-BEC Crossover
• Note on Nonlinear Schrödinger Equation, KdV Equation and 2D Topological Yang-Mills-Higgs Theory