A numerical procedure for non-integrable many-body quantum systems*

Numerical computations of properties of quantum many-body systems generally get drastically simplified by the presence of conserved quantities. Non-integrable quantum systems are those that lack, or have very few, conserved quantities and hence, are invariably intractable numerically. However, the eigenstate thermalization hypothesis postulates certain properties that non-integrable quantum systems must have and so far, computations on small systems have validated these properties. In this talk, a numerical procedure will be described that exploits the eigenstate thermalization hypothesis to discard, at the outset, vast amounts of useless quantum information and extract useful information about a non-integrable system more efficiently. The utility of the algorithm will be demonstrated via comparisons with exact diagonalization studies on prototypical non-integrable models.