Quantum quench dynamics of a $p$-wave superfluid

The search for a robust platform capable of quantum simulation and computation has led to a growing interest in superfluids with $p + ip$ pairing symmetry. These superfluids are expected to possess zero-energy Majorana bound states which could exhibit the non-abelian statistics necessary for a topological quantum computer. We are interested in studying the non-equilibrium quench dynamics of the two dimensional BCS Hamiltonian with $p$-wave symmetry using numerical techniques. It is known how a system which begins in a $p + ip$ state of the $p$-wave Hamiltonian evolves due to its integrability, but we would like to investigate the stability of the dynamics when this integrability is broken.

Representative works: 1, 2