Trojan quasiparticles

Abstract

We argue that a time-periodically driven bosonic Josephson junction supports stable, quasi-particle-like collective response modes which are $N$-particle analogs of the nonspreading Trojan wave packets known from microwave-driven Rydberg atoms. Similar to their single-particle counterparts, these collective modes, dubbed "flotons", are well described by a Floquet-Mathieu approximation, and possess a well-defined discrete set of excitations. In contrast to other, "chaotic" modes of response, the nonheating Trojan modes conform to a mean-field description, and thus may be of particular interest for the more general question under which conditions the reduction of quantum $N$-particle dynamics to a strongly simplified mean-field evolution is feasible. Our reasoning is supported by phase-space portraits which reveal the degree of correspondence beween the $N$-particle dynamics und the mean-field picture in an intuitive manner.

15 pages, 10 figures

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Cited by in corpus (10)

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• A Brief History of Time Crystals
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• Dispersionless wave packets in Dirac materials
• Fluctuations of the order parameter of a mesoscopic Floquet condensate
• Classical analogs of generalized purities, entropies, and logarithmic negativity
• $N$-coherence vs. $t$-coherence: An alternative route to the Gross-Pitaevskii equation
• Quasiparticle tunneling in a periodically driven bosonic Josephson junction
• Emergence and destruction of macroscopic wave functions
• Degree of simplicity of Floquet states of a periodically driven Bose-Hubbard dimer