Quantum dynamics in one and two dimensions via the recursion method

F Uskov, O Lychkovskiy - Physical Review B, 2024 - APS
We report an implementation of the recursion method that addresses quantum many-body
dynamics in the nonperturbative regime. The method essentially amounts to constructing a …

Forecasting long-time dynamics in quantum many-body systems by dynamic mode decomposition

R Kaneko, M Imada, Y Kabashima, T Ohtsuki - Physical Review Research, 2025 - APS
Reliable numerical computation of quantum dynamics is a fundamental challenge when the
long-ranged quantum entanglement plays essential roles as in the cases governed by …

Spectral functions with infinite projected entangled-pair states

JD Arias Espinoza, P Corboz - Physical Review B, 2024 - APS
Infinite projected entangled-pair states (iPEPS) provide a powerful tool to study two-
dimensional strongly correlated systems directly in the thermodynamic limit. In this work, we …

Bang-bang preparation of quantum many-body ground states in two dimensions: Optimization of the algorithm with a two-dimensional tensor network

Y Zhang, J Dziarmaga - Physical Review B, 2024 - APS
A bang-bang (BB) algorithm prepares the ground state of a two-dimensional (2D) quantum
many-body Hamiltonian H= H 1+ H 2 by evolving an initial product state alternating between …

Spectral functions with infinite projected entangled-pair states

JDA Espinoza, P Corboz - arxiv preprint arxiv:2405.10628, 2024 - arxiv.org
Infinite projected entangled-pair states (iPEPS) provide a powerful tool to study two-
dimensional strongly correlated systems directly in the thermodynamic limit. In this work, we …

Floquet-engineered system-reservoir interaction in the transverse field Ising model

M Ahumada, N Valderrama-Quinteros… - arxiv preprint arxiv …, 2025 - arxiv.org
Periodically driving a quantum many-body system can drastically change its properties,
leading to exotic non-equilibrium states of matter without a static analog. In this scenario …

Ab-initio approach to Many-Body Quantum Spin Dynamics

A Dubey, Z Zeybek, F Köhler, R Mukherjee… - arxiv preprint arxiv …, 2024 - arxiv.org
A fundamental longstanding problem in studying spin models is the efficient and accurate
numerical simulation of the long-time behavior of larger systems. The exponential growth of …