8 papers
Diffusion bounds for non-autonomous degenerate parabolic equations
Marius Lemm, Israel Michael Sigal, Jingxuan Zhang
We prove the Davies-Gaffney (i.e., integrated Nash-Aronson) type diffusive upper bounds on the propagators of parabolic equations in -sense for all . Our appr…
Optical echoes of light near a black hole
Suting Ju, Jingxuan Zhang, Li-Gang Wang
The light deflection under a strong gravitational field, referred to as strong gravitational lensing, provides a powerful probe of spacetime geometry. Besides, laboratory analogue…
On Bose-Einstein condensates in disordered media
Marius Lemm, Simone Rademacher, Jingxuan Zhang
We consider the quantum dynamics of interacting bosons in the mean-field regime when they are subjected to a disordered potential, which is either random or quasi-periodic. Startin…
Macroscopic suppression of supersonic quantum transport
Jérémy Faupin, Marius Lemm, Israel Michael Sigal +1
We consider a broad class of strongly interacting quantum lattice gases, including the Fermi-Hubbard and Bose-Hubbard models. We focus on macroscopic particle clusters of size $θN…
Compact Amplified Laser Power Stabilization Using Robust Active Disturbance Rejection Control with Sensor Noise Decoupling
Yanpei Shi, Jingxuan Zhang, Zhuo Shi +3
Laser power instability, encompassing random jitter and slow drift, severely limits the performance of optically pumped magnetometers (OPMs) in detecting ultra-weak magnetic fields…
On the quantum dynamics of long-ranged Bose-Hubbard Hamiltonians
Marius Lemm, Carla Rubiliani, Jingxuan Zhang
We study the quantum dynamics generated by Bose-Hubbard Hamiltonians with long-ranged (power law) terms. We prove two ballistic propagation bounds for suitable initial states: (i)…