The study examines the quantum Mpemba effect in Markovian open quantum systems from various perspectives. A mechanism is proposed based on the existence of decoherence-free subspaces. The possibility of exponential (as a function of system size) acceleration of relaxation is proven, leading to an extreme manifestation of the effect. The strong Mpemba effect is analyzed through stochastic trajectories of Davis maps; it is found that the effect's identification is sensitive to the choice of metrics. A microscopic model is constructed, clarifying the thermostat dynamics. The results pave the way for controlling quantum relaxation and deepening the theory of open systems.
Hot water sometimes freezes faster than cold — this is the Mpemba effect. In the quantum world, it’s even more astonishing: a system bubbling with disorder (with high entropy) can settle incredibly faster than one that is almost calm.
The solution lies in islands of silence within any system — regions untouched by the destructive noise of the environment.
The larger the system, the more such regions exist, and the calming cascades like an avalanche. A mathematical model confirmed that the speed grows exponentially: large structures seem to sweep out disorder with acceleration.
The discovery not only explains the paradox but also provides a key to ultra-stable quantum computers: instead of fighting noise, we can harness its rapid neutralization.
🎯 Entropy isn't just a measure of chaos: [tag:black_hole]black holes[/tag] in the Universe possess the maximum possible entropy.