21 citations · 30 across the 2 of their papers we have counts for
6 papers
Structure-preserving numerical schemes for Lindblad equations
Yu Cao, Jianfeng Lu
We study a family of structure-preserving deterministic numerical schemes for Lindblad equations. This family of schemes has a simple form and can systemically achieve arbitrary hi…
Complexity of randomized algorithms for underdamped Langevin dynamics
Yu Cao, Jianfeng Lu, Lihan Wang
We establish an information complexity lower bound of randomized algorithms for simulating underdamped Langevin dynamics. More specifically, we prove that the worst strong er…
Gradient flow structure and exponential decay of the sandwiched Rényi divergence for primitive Lindblad equations with GNS-detailed balance
Yu Cao, Jianfeng Lu, Yulong Lu
We study the entropy production of the sandwiched Rényi divergence under the primitive Lindblad equation with GNS-detailed balance. We prove that the Lindblad equation can be ident…
Exponential decay of Rényi divergence under Fokker-Planck equations
Yu Cao, Jianfeng Lu, Yulong Lu
We prove the exponential convergence to the equilibrium, quantified by Rényi divergence, of the solution of the Fokker-Planck equation with drift given by the gradient of a strictl…
Stochastic dynamical low-rank approximation method
Yu Cao, Jianfeng Lu
In this paper, we extend the dynamical low-rank approximation method to the space of finite signed measures. Under this framework, we derive stochastic low-rank dynamics for stocha…
Lindblad equation and its semi-classical limit of the Anderson-Holstein model
Yu Cao, Jianfeng Lu
For multi-level open quantum system, the interaction between different levels could pose challenge to understand the quantum system both analytically and numerically. In this work,…