On the spectral gap in the Kac-Luttinger model and Bose-Einstein condensation
From MaRDI portal
Publication:6144434
DOI10.1016/j.spa.2023.07.010arXiv2203.08123OpenAlexW4384701594MaRDI QIDQ6144434
Publication date: 29 January 2024
Published in: Stochastic Processes and their Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2203.08123
Other physical applications of random processes (60K40) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Processes in random environments (60K37) Bosonic systems in quantum theory (81V73)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The parabolic Anderson model. Random walk in random potential
- From extreme values of i.i.d. random fields to extreme eigenvalues of finite-volume Anderson Hamiltonian
- Lifschitz tail and Wiener sausage. I
- Eigenvalue order statistics for random Schrödinger operators with doubly-exponential tails
- Fluctuations of principal eigenvalues and random scales
- On Bose-Einstein condensation in one-dimensional noninteracting Bose gases in the presence of soft Poisson obstacles
- Existence of an unbounded nodal hypersurface for smooth Gaussian fields in dimension \(d\geq 3\)
- Localization for random walks among random obstacles in a single Euclidean ball
- On a condition for type-I Bose-Einstein condensation in random potentials in \(d\) dimensions
- Distribution of the random walk conditioned on survival among quenched Bernoulli obstacles
- On Bose-Einstein condensation in the Luttinger-Sy model with finite interaction strength
- Faber-Krahn inequalities in sharp quantitative form
- Enhanced Wegner and Minami estimates and eigenvalue statistics of random Anderson models at spectral edges
- Stability estimates for certain Faber-Krahn,isocapacitary and Cheeger inequalities
- Asymptotics for the wiener sausage
- Lectures on the Poisson Process
- Bose–Einstein condensation for particles with repulsive short-range pair interactions in a Poisson random external potential in