Integrable Floquet Hamiltonian for a Periodically Tilted 1D Gas
arXiv:1902.07809 · doi:10.1103/PhysRevLett.123.130401
Abstract
An integrable model subjected to a periodic driving gives rise generally to a non-integrable Floquet Hamiltonian. Here we show that the Floquet Hamiltonian of the integrable Lieb--Liniger model in presence of a linear potential with a periodic time--dependent strength is instead integrable and its quasi-energies can be determined using the Bethe ansatz approach. We discuss various aspects of the dynamics of the system at stroboscopic times and we also propose a possible experimental realisation of the periodically driven tilting in terms of a shaken rotated ring potential.
arXiv comment17 pages, 3 figures
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