Exploring quantum signatures of chaos on a Floquet synthetic lattice

Understand

Ergodicity and chaos play an integral role in the dynamical behavior of many-particle systems and are crucial to the formulation of statistical mechanics.

• Still, a general understanding of how randomness and chaos emerge in the dynamical evolution of closed quantum systems remains elusive.
• Here, we develop an experimental platform for the realization of canonical quantum chaotic Hamiltonians based on quantum simulation with synthetic lattices.
• We map the angular momentum projection states of an effective quantum spin onto the linear momentum states of a $^{87}$Rb Bose-Einstein condensate, which can alternatively be viewed as lattice sites in a synthetic dimension.