Abstract
We discuss two-dimensional Bose–Einstein Condensates (BEC) under timeperiodic variation of the scattering length. In particular we argue that for high-frequency variation there exist stable self-confined condensates without an external trap, when the do component of the scattering length is negative. Our resugts are based on a variational approximation, on direct averaging of the Gross–Pitaevskii equation and on numerical simulations.
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