2020/07/01 by Tomohiro Hashizume, Hashizume, Tomohiro
Physics and Astronomy · #FOS: Physical sciences #Opinion Dynamics and Social Influence #Quantum many-body systems #Strongly Correlated Electrons (cond-mat.str-el) #Theoretical and Computational Physics
paper · pdf · doi:10.48550/arxiv.2008.11537
openalex publication_date 2020/07/01 · openalex created_date 2020/09/01 · openalex updated_date 2026/07/28
Motivated by the experimental realisation of the two-dimensional triangular spin lattice at the National Instate of Standards and Technology in 2012, we developed a new algorithm which allows a time evolution of an MPS with a Hamiltonian with long-range interactions. The algorithm is based on generalised Suzuki-Trotter decompositions with Krylov subspace expansion steps. In the benchmark tests, it predicted the correct local magnetisation behaviour within 5 decimal places up to t∼ 8, it provided the ground state energy of Haldane-Shastry odel correctly up to 4 decimal places for evolution with 64 sites; and it gave a global magnetisation behaviour which agrees with Time Dependent Variational Principle algorithm. The algorithm is applied to a global quench on the triangular Ising lattice on the surface of an infinite cylinder. The algorithm successfully showed the thermalisation of the initial state after a deep quench proving that the algorithm works on time evolutions in a quasi-two-dimensional system.