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

Abstract

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 an optical lattice. The strength of quantum fluctuations is controlled by tuning the number of atoms per lattice sites (filling factor). By simulating the real-time dynamics of the Bose-Hubbard model by means of the exact numerical method of time-evolving block decimation, we investigate the effects of quantum fluctuations on the FPU recurrence and show that strong quantum fluctuations cause significant damping of the FPU oscillation.

5 pages, 4 figures

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Cited by in corpus (6)

• Burgers turbulence in the Fermi-Pasta-Ulam-Tsingou chain
• Behavior and Breakdown of Higher-Order Fermi-Pasta-Ulam-Tsingou Recurrences
• Hologram of a pure state black hole
• The $\beta$ Fermi-Pasta-Ulam-Tsingou Recurrence Problem
• Structural localization in the Classical and Quantum Fermi-Pasta-Ulam Model
• Random initial data and average shock time in the Fermi-Pasta-Ulam-Tsingou chain