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arXiv · 1902.07809

Integrable Floquet Hamiltonian for a Periodically Tilted 1D Gas

Andrea Colcelli·Giuseppe Mussardo·German Sierra·Andrea Trombettoni
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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.

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Andrea Colcelli, Giuseppe Mussardo, German Sierra, Andrea Trombettoni. 2019-02-20. Integrable Floquet Hamiltonian for a Periodically Tilted 1D Gas. https://doi.org/10.1103/physrevlett.123.130401

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