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An information-theoretic proof of the Planckian bound for thermalization
It has been conjectured that the speed of thermalization is universally constrained by a Planckian timescale, τPl = ℏ/(kBT), determined solely by the reduced Planck constant ℏ, Boltzmann’s constant (kB) and the temperature (T). However, a general and model-independent derivation of this limit has remained elusive. Here we provide a general proof of the emergence of Planckian thermalization based on quantum information geometry and quantum metrology. We formulate thermalization as a process that prepares states close to the corresponding thermal ensemble for a set of distinct Hamiltonians, and show that quantum mechanics imposes a universal lower bound τ ≥ τPl/2 on the thermalization time τ at finite temperature. In the low-temperature regime, the spectral gap Δ between the ground and first excited states replaces the temperature as the relevant energy scale and determines the lower bound on the thermalization time, in close connection with the quantum adiabatic theorem. These bounds, rooted in Hamiltonian estimation, establish operational limits on thermalization governed exclusively by fundamental constants and the intrinsic energy scale. Studies of many-body physics have indicated that thermalization processes are bounded by a timescale determined by Planck’s constant. Such a bound has now been proved to apply in general using techniques from quantum information theory.
Nguồn: https://www.nature.com/articles/s41567-026-03397-y. 8 Sync News chỉ tóm tắt và dẫn link; bản quyền nội dung thuộc tác giả và nguồn gốc.
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