Quantum Quench Across a Zero Temperature Holographic Superfluid Transition

摘要: We study quantum quench in a holographic model of zero temperature insulator-superfluid transition. The is modification that arXiv:0911.0962 and involves self-coupled complex scalar field, Einstein gravity with negative cosmological constant, Maxwell field one the spatial directions compact. In suitable regime parameters, can be treated as probe whose backreaction to both metric gauge ignored. show when chemical potential dual theory lies between two critical values, equilibrium background geometry AdS soliton constant while condenses leading broken symmetry. then turn on time dependent source for order parameter which interpolates values crosses order-disorder point. region adiabaticity breaks down, but small rate change $v$ there new small-$v$ expansion fractional powers $v$. resulting dynamics dominated by mode bulk field. To lowest this expansion, satisfies Landau-Ginsburg equation has $z=2$, non-dissipative. These predictions are verified explicit numerical solutions equations motion.