Stabilizing boundary time crystals through Non-markovian dynamics

Abstract: We study Boundary time crystals (BTCs) in the presence of non-Markovian dynamics. In contrast to BTCs observed in earlier works in the Markovian regime, we show that non-Markovian dynamics can be highly beneficial for stabilizing BTCs over a wide range of parameter values, even in the presence of intermediate rates of dissipation. We analyze the effect of non-Markovian dynamics on BTCs using quantum Fisher information, order parameter, a measure of non-Markovianity, and a dynamical phase diagram, all of which show complex behaviours with changing non-Markovianity parameters. Our studies can pave the way for stabilizing time crystals in dissipative systems, as well as lead to studies on varied dissipative dynamics on time translational symmetry breaking.