Abstract
Wiggliness and Chaos in Bose-Einstein Condensate
By analyzing the non-commutative properties of operators at distinct times, Out-of-Time-Order Commutators provide unique insights into the spread of quantum information and the emergence of chaos in many-body systems. Our detailed numerical study reveals that the asymptotic values of the standard-deviation-to-mean ratio (the wiggliness) of the OTOC in energy eigenstates can be successfully used to measure the "amount of chaos" present in the quantum system. The model used for this study is a finite-size, fully connected many-body quantum system with two degrees of freedom, namely the algebraic u(3) model. This model can be applied to describe bending modes of linear polyatomic molecules or spinor Bose-Einstein condensate of ultracold rubidium atoms.