Nonequilibrium boundary-driven quantum systems: Models, methods, and properties

GT Landi, D Poletti, G Schaller - Reviews of Modern Physics, 2022 - APS
Recent years have seen tremendous progress in the theoretical understanding of quantum
systems driven dissipatively by coupling to different baths at their edges. This was possible …

[HTML][HTML] Low communication high performance ab initio density matrix renormalization group algorithms

H Zhai, GK Chan - The Journal of Chemical Physics, 2021 - pubs.aip.org
There has been recent interest in the deployment of ab initio density matrix renormalization
group (DMRG) computations on high performance computing platforms. Here, we introduce …

[HTML][HTML] Tree tensor network state approach for solving hierarchical equations of motion

Y Ke - The Journal of Chemical Physics, 2023 - pubs.aip.org
The hierarchical equations of motion (HEOM) method is a numerically exact open quantum
system dynamics approach. The method is rooted in an exponential expansion of the bath …

Density matrix renormalization group with tensor processing units

M Ganahl, J Beall, M Hauru, AGM Lewis, T Wojno… - PRX Quantum, 2023 - APS
Google's tensor processing units (TPUs) are integrated circuits specifically built to accelerate
and scale up machine learning workloads. They can perform fast distributed matrix …

Hierarchy of linear light cones with long-range interactions

MC Tran, CF Chen, A Ehrenberg, AY Guo… - Physical Review X, 2020 - APS
In quantum many-body systems with local interactions, quantum information and
entanglement cannot spread outside of a linear light cone, which expands at an emergent …

A parallel rank-adaptive integrator for dynamical low-rank approximation

G Ceruti, J Kusch, C Lubich - SIAM Journal on Scientific Computing, 2024 - SIAM
This work introduces a parallel and rank-adaptive matrix integrator for dynamical low-rank
approximation. The method is related to the previously proposed rank-adaptive basis update …

Collective neutrino oscillations with tensor networks using a time-dependent variational principle

MJ Cervia, P Siwach, AV Patwardhan, AB Balantekin… - Physical Review D, 2022 - APS
If a system of flavor-oscillating neutrinos is at high enough densities that neutrino-neutrino
coherent forward scatterings are non-negligible, the system becomes a time-dependent …

Optimal tree tensor network operators for tensor network simulations: Applications to open quantum systems

W Li, J Ren, H Yang, H Wang, Z Shuai - The Journal of Chemical …, 2024 - pubs.aip.org
Tree tensor network states (TTNS) decompose the system wavefunction to the product of low-
rank tensors based on the tree topology, serving as the foundation of the multi-layer multi …

[HTML][HTML] Quantum dynamics simulation of intramolecular singlet fission in covalently linked tetracene dimer

S Mardazad, Y Xu, X Yang, M Grundner… - The Journal of …, 2021 - pubs.aip.org
In this work, we study singlet fission in tetracene para-dimers, covalently linked by a phenyl
group. In contrast to most previous studies, we account for the full quantum dynamics of the …