2013/07/14 by Mear M. R. Koochakie, Koochakie, M. M. R., S. Alipour +3
Social Sciences · #Evolutionary Game Theory and Cooperation #FOS: Physical sciences #Quantum Physics (quant-ph)
paper · pdf · doi:10.48550/arxiv.1307.3726
openalex publication_date 2013/07/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We extend the concept of locality to enclose a situation where a tensor-product structure for the Hilbert space is not \textit a priori assumed; rather, this locality is related to a given matrix representation of the Hamiltonian associated to the system. As a result, we formulate a Lieb-Robinson-like bound for Hamiltonians local in a given basis. In particular, we employ this bound to obtain alternatively the adiabatic condition, where adiabaticity is naturally ensued from a locality in energy basis and a relatively small Lieb-Robinson bound.