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We propose an experimental scheme for studying the Fermi-Pasta-Ulam (FPU)phenomenon in a quantum mechanical regime using ultracold atoms. Specifically,we suggest and analyze a setup of one-dimensional Bose gases confined into anoptical lattice. The strength of quantum fluctuations is controlled by tuningthe number of atoms per lattice sites (filling factor). By simulating thereal-time dynamics of the Bose-Hubbard model by means of the exact numericalmethod of time-evolving block decimation, we investigate the effects of quantumfluctuations on the FPU recurrence and show that strong quantum fluctuationscause significant damping of the FPU oscillation.

Quantum damping of Fermi-Pasta-Ulam revivals in ultracold Bose gases