Efficient large-scale many-body quantum dynamics via local-information time evolution
During time evolution of many-body systems entanglement grows rapidly, limiting exact
simulations to small-scale systems or small timescales. Quantum information tends …
simulations to small-scale systems or small timescales. Quantum information tends …
Lindblad dynamics from spatio-temporal correlation functions in nonintegrable spin- chains with different boundary conditions
We investigate the Lindblad equation in the context of boundary-driven magnetization
transport in spin-1/2 chains. Our central question is whether the nonequilibrium steady state …
transport in spin-1/2 chains. Our central question is whether the nonequilibrium steady state …
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 …
dynamics in the nonperturbative regime. The method essentially amounts to constructing a …
Pseudomode expansion of many-body correlation functions
We present an expansion of a many-body correlation function in a sum of pseudomodes-
exponents with complex frequencies that encompass both decay and oscillations. We …
exponents with complex frequencies that encompass both decay and oscillations. We …
Stochastic sampling of operator growth dynamics
We put forward a Monte Carlo algorithm that samples the Euclidean time operator growth
dynamics at infinite temperature. Crucially, our approach is free from the numerical sign …
dynamics at infinite temperature. Crucially, our approach is free from the numerical sign …
[PDF][PDF] Quantum many-body simulations with PauliStrings. jl
It is generally difficult to represent quantum objects on a classical computer because they
live in a Hilbert space that is exponential in system size. Hamiltonians of discrete systems …
live in a Hilbert space that is exponential in system size. Hamiltonians of discrete systems …
Estimate of equilibration times of quantum correlation functions in the thermodynamic limit based on Lanczos coefficients
J Wang, M Füllgraf, J Gemmer - arxiv preprint arxiv:2412.15932, 2024 - arxiv.org
We study the equilibration times $ T_\text {eq} $ of local observables in quantum chaotic
systems by considering their auto-correlation functions. Based on the recursion method, we …
systems by considering their auto-correlation functions. Based on the recursion method, we …