6 papers
Quantum Fluctuations in Bose--Einstein Condensates:Microscopic Correlations and Moment Bounds
Mauris Chueng, Keheng Zhu, Hexiang Wang
We study higher moments of quantum fluctuations and microscopic correlation energy in the three-dimensional Gross--Pitaevskii regime. For a smooth, compactly supported, nonnegative…
Wasserstein Stability, Couplings Across Volumes, and the Moment Thresholds in the Edwards--Anderson Model
Mauris Chueng, Hexiang Wang, Keheng Zhu
We study the quenched pressure of the nearest-neighbor Edwards--Anderson Ising model with free and periodic boundary conditions. First, we prove that the infinite-volume pressure i…
Tangential Surface Pressures and Boundary Localization in Disordered Edwards--Anderson Models
Hexiang Wang, Keheng Zhu, Mauris Chueng
We study boundary free energies in disordered Edwards--Anderson Ising models. For rectangular strips of fixed width, we prove that the expected free-to-fixed boundary correction, d…
Boundary Free Energies, Quenched Mixing, and Gibbs-State Selection in Disordered Ising Models
Mauris Chueng, Hexiang Wang, Keheng Zhu
We study boundary free energies and half-space responses in nearest-neighbor disordered Ising models. First, we prove the existence of fixed-depth tangential pressure and identify…
Boundary Free Energies in Disordered Ising Models
Hexiang Wang, Keheng Zhu, Mauris Chueng
The boundary correction to the free energy of a disordered Ising model depends on the boundary condition, the normalization, and the finite-volume sequence. We give a one-dimension…
Subextensive Random Boundary Perturbations in the Short-Range Edwards--Anderson Model
Hexiang Wang, Keheng Zhu, Mauris Chueng
We consider the nearest-neighbor Edwards--Anderson Ising model on cubic boxes with random perturbations supported at the boundary. We prove that any perturbation admitting an energ…