Information scrambling of the dilute Bose gas at low temperature
arXiv:2210.03025 · doi:10.1103/PhysRevB.107.054503
Abstract
We calculate the quantum Lyapunov exponent and butterfly velocity in the dilute Bose gas at temperature deep in the Bose-Einstein condensation phase. The generalized Boltzmann equation approach is used for calculating out-of-time ordered correlators, from which and are extracted. At very low temperature where elementary excitations are phonon-like, we find and , the sound velocity. At relatively high temperature, we have and . We find is always comparable to the damping rate of a quasiparticle, whose energy depends suitably on . The chaos diffusion constant , on the other hand, differs from the energy diffusion constant . We find at very low temperature and otherwise.
arXiv comment11 pages, 4 figures, published version
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