Mr Gabriele Cenedese

Thermodynamic and Protection of Discrete-Time Crystal

Discrete time crystals (DTCs) represent a fascinating frontier in the realm of quantum systems, characterized by non-equilibrium dynamics and robust periodicity. Despite their potential applications in various fields such as quantum computing and precision sensing, the inherent challenge lies in their susceptibility to decoherence and short lifetimes. In this study, we delve into the thermodynamic properties of these open quantum systems, proposing an approach to extend their lifespans through repeated measurement schemes. We investigate the dynamics of DTCs under the influence of environmental coupling using the Lindblad master equation, and we meticulously and comprehensively examine their thermodynamic properties, surpassing the existing literature. Through numerical simulations and analytical modeling, we reveal an increased lifetime of the DTC dynamics. Moreover, we introduce a novel methodology for detecting time crystal signatures utilizing quantum trajectories. By tracking the quantum evolution of the system through trajectory analysis, we identify distinct signatures associated with the presence of DTCs, providing a promising avenue for experimental verification and characterization. Overall, our study contributes to advancing the understanding of DTCs and offers a promising avenue for mitigating decoherence effects in such quantum systems. The proposed methodology not only extends the lifetimes of DTCs but also unveils intriguing connections between quantum thermodynamics and non-equilibrium dynamics. Through further exploration and experiments, we envision unlocking new avenues for harnessing DTCs in quantum technologies and fundamental physics research.