Quench dynamics of Bose-Einstein condensates in the presence of synthetic spin-orbit coupling

The discovery of synthetic 1D spin-orbit coupling (SOC) (equal mixture of Rashba and Dresselhaus strengths) using a Raman laser scheme has sparked numerous studies on mimicking condensed matter physics in cold atoms, such as non-Abelian gauge fields, topological phase transitions, spin transportations, and Majorana devices. The high tunability of ultracold quantum gas allows for exploration of various SOC physics in a wider parameter regime. These interparticle interactions in cold atoms create a complex phase diagram for SOC systems, including the plane wave phase, single minimum phase, and supersolid phase. This study examines the dynamics of the 1D SOC system close to the various critical points as SOC parameters are tuned, resulting in the formation of defects (Kibble-Zurek mechanism) which can be analyzed through numerical simulation and the Bogoliubov theory.