Fluctuations of the order parameter of a mesoscopic Floquet condensate

Abstract

We suggest that nonequilibrium Bose-Einstein condensates may occur in time-periodically driven interacting Bose gases. Employing the model of a periodically forced bosonic Josephson junction, we demonstrate that resonance-induced ground state-like many-particle Floquet states possess an almost perfect degree of coherence, as corresponding to a mesoscopically occupied, explicitly time-dependent single-particle orbital. In marked contrast to the customary time-independent Bose-Einstein condensates, the order parameter of such systems is destroyed by violent fluctuations when the particle number becomes too large, signaling the non-existence of a proper mean field limit.

arXiv comment5 pages, 4 figures

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Cited by in corpus (6)

• Adiabatic preparation of Floquet condensates
• Exact ordering of energy levels for one-dimensional interacting Fermi gases with $SU(n)$ symmetry
• Solvable model of a generic driven mixture of trapped Bose-Einstein condensates and properties of a many-boson Floquet state at the limit of an infinite number of particles
• Dynamic renormalization group theory for open Floquet systems
• Quasiparticle tunneling in a periodically driven bosonic Josephson junction
• Stability and stabilization of unstable condensates