Thermalization and Return to Equilibrium on Finite Quantum Lattice Systems.

摘要: Thermal states are the bedrock of statistical physics. Nevertheless, when and how they actually arise in closed quantum systems is not fully understood. We consider this question for with local Hamiltonians on finite lattices. In a first step, we show that exponentially decaying correlations equilibrate after quench. Then, equilibrium state locally equivalent to thermal state, provided free energy sufficiently small has correlations. As an application, look at related important question: When stable against noise? other words, if disturb system will it return equilibrium? rigorously occurs decaying. All our results come finite-size bounds, which crucial growing field thermodynamics physical applications.