Publications by Nikita Gourianov

Parallel time-dependent variational principle algorithm for matrix product states

PHYSICAL REVIEW B 101 (2020) ARTN 235123

P Secular, N Gourianov, M Lubasch, S Dolgov, SR Clark, D Jaksch

© 2020 American Physical Society. ©2020 American Physical Society. Combining the time-dependent variational principle (TDVP) algorithm with the parallelization scheme introduced by Stoudenmire and White for the density matrix renormalization group (DMRG), we present the first parallel matrix product state (MPS) algorithm capable of time evolving one-dimensional (1D) quantum lattice systems with long-range interactions. We benchmark the accuracy and performance of the algorithm by simulating quenches in the long-range Ising and XY models. We show that our code scales well up to 32 processes, with parallel efficiencies as high as 86%. Finally, we calculate the dynamical correlation function of a 201-site Heisenberg XXX spin chain with 1/r2 interactions, which is challenging to compute sequentially. These results pave the way for the application of tensor networks to increasingly complex many-body systems.

Dynamical Regularities of US Equities Opening and Closing Auctions

Market Microstructure and Liquidity World Scientific Pub Co Pte Lt (2019) 1950001-1950001

D Challet, N Gourianov