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

Thomas E. Baker (), Alexandre Foley and David Sénéchal
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Thomas E. Baker: Université de Sherbrooke
Alexandre Foley: Université de Sherbrooke
David Sénéchal: Université de Sherbrooke

The European Physical Journal B: Condensed Matter and Complex Systems, 2024, vol. 97, issue 6, 1-18

Abstract: 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. Graphical abstract

Date: 2024
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DOI: 10.1140/epjb/s10051-024-00702-7

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