Tunneling dynamics of small two-component Fermi system

Tunneling is an inherently quantum mechanical process. Interactions between particles can speed the single-particle tunneling dynamics up or slow it down; they can also trigger correlated tunneling of pairs or clusters. We use high performance computing to implement a trapezoidal splitting method that allows us to solve the three-particle time-dependent Schrodinger equation for a time-dependent potential. We first use imaginary time-evolution to prepare the system in an eigenstate of the Hamiltonian at the initial time. We subsequently use real time-evolution to time evolve the initial state. Throughout the real time-evolution, we monitor the flux in configuration space to study the probability of finding zero, one, two, or three particles in the trap and extract tunneling rates. We will show preliminary results.