Quantum Systems Reliably Reach Equilibrium under Specific Conditions

Scientists Roman Geiko and Jake Gerenraich at UCLA, in collaboration with University of California, have detailed conditions guaranteeing thermalization within many-body bosonic lattice systems evolving under translation-invariant Gaussian quantum cellular automata. Geiko and colleagues define two separate sets of conditions ensuring any locally normal state with uniformly bounded particle density will evolve towards the infinite temperature state over time. The study builds upon a quantum many-body generalisation of the classic Riemann-Lebesgue lemma, providing a bound on expectation values of local Weyl operators and advancing understanding of long-time dynamics in these complex systems. The upper bound on…