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Center for Nonlinear Studies |
Determining the ground state of a strongly interacting quantum system described by the local Hamiltonian is one of the most fundamental challenges in quantum many-body physics. The variational methods based on the tensor-network states provide a powerful approach due to effective description of entanglement in such a states. While the ground state is effectively obtained, how much information can be extracted from it? During this talk I will highlight two recent results. Firstly, I will show evidence that the knowledge of the ground state -- and its correlation function -- allow to obtain some information about the the spectrum of the corresponding Hamiltonian. Secondly, I will show analytical example where -- in the context of exactly solvable systems -- exact Matrix Product State description can be obtained. This allow us to address questions what information about the state is lost during the truncation procedure, which is inevitably in effective description of the state within Matrix Product State ansatz.
Host: Adolfo del Campo