8 papers
Global flows for the cubic nonlinear Schrödinger equation without decay assumptions
Shinichi Kotani, Yiqian Wang, Jiahao Xu +1
For each positive integer , we construct global spectral group actions for the defocusing and focusing nonlinear Schrödinger hierarchies on initial-data classes containing $W^{2…
Asymptotics of Titchmarsh--Weyl functions near the real axis andan application to the KdV hierarchy
Shuo Zhang
We establish high-energy asymptotic expansions of Titchmarsh--Weyl functions for one-dimensional Schrödinger and Dirac operators in regions whose boundaries approach the spectrum a…
Explicit Hamiltonian Classification in the Toric Degeneration of
Han Lou, Shuo Zhang
We give an explicit coordinate description of the Hamiltonian isotopy classes of the regular Lagrangian torus fibers of the smoothing \(\widehat{F}_4(0)\) of the \(F_4(0)\) toric d…
Global well-posedness of the Toda lattice on an exact spectral phase space
Shuo Zhang
We identify an exact spectral phase space for the two-sided Toda lattice. Let be coefficients of the right and left half-line Jacobi operators and d…
Bridging Krylov Complexity and Universal Analog Quantum Simulator
Shuo Zhang, Yuzhi Tong, Pengfei Zhang +1
Quantum simulation of complex many-body systems beyond classical computational capabilities provides a promising route toward understanding novel quantum phases and their transitio…
Toda flow with unbounded initial data
Shinichi Kotani, Jiahao Xu, Shuo Zhang
A Toda flow is constructed starting from a certain class of unbounded initial conditions including sequences growing with power order of less than 1. Unbounded ergodic sequences ar…
Spin-2 operators in two-dimensional quivers from massive type IIA
Shuo Zhang
In this work we revisit the problem of studying spin-2 fluctuations around a class of solutions in massive type IIA that is given by a warped $\text{AdS}_3 \times \text{S}^2 \times…
More on spin-2 operators in holographic quantum mechanics
Shuo Zhang
We study the spectrum, unitarity bound and holographic central charge of spin-2 operators in a warped $\text{AdS}_2 \times \text{S}^2 \times \text{T}^4 \times \mathcal{I}_ψ\times \…