Direct solution of multiple excitations in a matrix product state with block Lanczos

• URL: http://arxiv.org/abs/2109.08181v3
• Date: Wed, 28 Jun 2023 14:32:30 GMT
• Title: Direct solution of multiple excitations in a matrix product state with block Lanczos
• Authors: Thomas E. Baker, Alexandre Foley, and David S\'en\'echal
• Abstract summary: We introduce the multi-targeted density matrix renormalization group method that acts on a bundled matrix product state, holding many excitations. A large number of excitations can be obtained at a small bond dimension with highly reliable local observables throughout the chain.
• Score: 62.997667081978825
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Matrix product state methods are known to be efficient for computing ground states of local, gapped Hamiltonians, particularly in one dimension. We introduce the multi-targeted density matrix renormalization group method that acts on a bundled matrix product state, holding many excitations. The use of a block or banded Lanczos algorithm allows for the simultaneous, variational optimization of the bundle of excitations. The method is demonstrated on a Heisenberg model and other cases of interest. A large of number of excitations can be obtained at a small bond dimension with highly reliable local observables throughout the chain.

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