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Explicitly Correlated Gaussian basis is used to calculate the energies andwave functions of one dimensional few-electron systems in confinementpotentials created by external potentials or coupling to light in cavity. Theappearance and properties of Wigner crystal-like structures are discussed. Itis shown that one dimensional Wigner crystals can be formed by couplingelectrons to light due to the dipole self-interaction term in the light-matterHamiltonian, provided an additional extremely weak confining potential ispresent.

Energy spectrum and structure of one-dimensional few-electron Wigner crystals with and without coupling to light in cavity