Simulating quantum turbulence with matrix product states

Gómez-Lozada, Felipe, Perico-García, Nicolas, Gourianov, Nikita, Salman, Hayder and José Mendoza-Arenas, Juan (2026) Simulating quantum turbulence with matrix product states. Physical Review Applied. (In Press)

Full text not available from this repository. (Request a copy)

Abstract

Quantum turbulence spans length scales from the system size to the healing length , making direct numerical simulations (DNS) of the Gross-Pitaevskii (GP) equation computationally expensive when ≫. We present a matrix product state (MPS) solver for the GP equation that efficiently compresses the wavefunction by truncating weak interlength-scale correlations. This approach reduces memory usage by factors ranging from 10x to over 10,000x compared to DNS. We benchmark our approach on nonlinear excitations, namely dark solitons (1D) and quantized vortices (2D, 3D), capturing key dynamics such as Kelvin wave propagation and vortex ring emission in the case of vortex line reconnection. For turbulent states composed of multiple nonlinear excitations, we find that the memory compression of the MPS representation is directly proportional to the soliton or vortex densities. We also accurately reproduce established results from two-point correlation functions and energy spectra, where we recover the incompressible kinetic energy spectrum with little memory overhead. These results demonstrate the representative capabilities of the MPS ansatz for quantum turbulence and pave the way for studying this nonequilibrium state using previously-prohibited system sizes to uncover novel physics. Moreover, the MPS ansatz can be adapted to existing quantum algorithms, providing a framework to implementing our time evolution method on near-future quantum processing units.

Item Type:	Article
Faculty \ School:	Faculty of Science > School of Engineering, Mathematics and Physics
UEA Research Groups:	Faculty of Science > Research Groups > Fluids & Structures Faculty of Science > Research Groups > Quantum Matter
Depositing User:	LivePure Connector
Date Deposited:	01 May 2026 10:37
Last Modified:	01 May 2026 10:37
URI:	https://ueaeprints.uea.ac.uk/id/eprint/102873
DOI:

Actions (login required)

View Item