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arXiv · 2508.09688

Stabilizing boundary time crystals through Non-markovian dynamics

Bandita Das·Rahul Ghosh·Victor Mukherjee
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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. Notably, we also observe the emergence of higher-order limit cycles (HO-LCs) for some parameter regimes. We analyze the effect of non-Markovian dynamics on BTCs and HO-LCs 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.

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Bandita Das, Rahul Ghosh, Victor Mukherjee. 2025-08-13. Stabilizing boundary time crystals through Non-markovian dynamics. https://doi.org/10.1103/x6gp-vkdc

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