Equations of Motion for the Out-of-Equilibrium Dynamics of Isolated Quantum Systems from the Projection Operator Technique
arXiv:1408.5101 · doi:10.1088/1742-6596/568/1/012013
Abstract
We present a rigorous framework to obtain evolution equations for the momentum distribution and higher order correlation functions in weakly interacting systems based on the Projection Operator Technique. These equations can be numerically solved in an efficient way. We compare the solution of the equations with known results for 1D models and find an excellent agreement.
arXiv comment6 pages, 1 figure, added brief discussion about the validity of the approximations
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- Lack of thermalization for integrability-breaking impurities
- A simple theory for quantum quenches in the ANNNI model
- Decay of long-lived oscillations after quantum quenches in gapped interacting quantum systems