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. Notably, we also observe the emergence of higher-order limit cycles (HOLCs) for some parameter regimes. We analyze the effect of non-Markovian dynamics on BTCs and HOLCs using quantum Fisher information, time-averaged magnetization, a measure of non-Markovianity, and a dynamical phase diagram, all of which show complex behaviors 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.

Close

PrevNext

View figure in article

• Nonequilibrium & irreversible thermodynamics
• Open quantum systems
• Quantum thermodynamics
• Nonequilibrium systems
• Quantum crystals
• Quantum many-body systems
• Quantum spin models
• Density matrix methods
• Dissipative particle dynamics
• Information theory
• Lindblad equation
• Markovian processes
• Mean field theory
• Non-Markovian processes
• Quantum master equation