engleski

Fermi-Bose transformation for a time-dependent Lieb-Liniger gas

Exact solutions of the Schro¨dinger equation describing a freely expanding Lieb-Liniger gas of delta-interacting bosons in one spatial dimension are constructed. We demonstrate that for any interaction strength the system enters a strongly correlated regime during such expansion. The asymptotic form of the wave function is shown to have the form characteristic for impenetrable-core bosons. Exact solutions are obtained by transforming a fully antisymmetric (fermionic) time-dependent wave function that obeys the Schro¨dinger equation for a free gas. This transformation employs a differential Fermi-Bose mapping operator that depends on the strength of the interaction and the number of particles.

one-dimensional bosons; nonequilibrium dynamics; Fermi-Bose mapping

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