https://doi.org/10.1140/epjb/s10051-024-00702-7
Regular Article - Solid State and Materials
Direct solution of multiple excitations in a matrix product state with block Lanczos
1
Institut quantique & Département de physique, Université de Sherbrooke, J1K 2R1, Sherbrooke, QC, Canada
2
Department of Physics, University of York, YO10 5DD, Heslington, York, UK
3
Department of Physics & Astronomy, Department of Chemistry, Centre for Advanced Materials and Related Technologies, University of Victoria, V8P 5C2, Victoria, BC, Canada
Received:
13
October
2023
Accepted:
29
April
2024
Published online:
13
June
2024
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.
Copyright comment Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
© The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
