The Excitation Spectrum of Two-Dimensional Bose Gases in the Gross-Pitaevskii Regime [0.03%]
具Gross-Pitaevskii性态二维玻色气体的激发谱
Cristina Caraci,Serena Cenatiempo,Benjamin Schlein
Cristina Caraci
We consider a system of N bosons, in the two-dimensional unit torus. We assume particles to interact through a repulsive two-body potential, with a scattering length that is exponentially small in N (Gross-Pitaevskii regime). In this settin...
Localization of Generalized Wannier Bases Implies Chern Triviality in Non-periodic Insulators [0.03%]
局域化泛化汪尼尔基矢蕴含非周期绝缘体陈数为零性质
Giovanna Marcelli,Massimo Moscolari,Gianluca Panati
Giovanna Marcelli
We investigate the relation between the localization of generalized Wannier bases and the topological properties of two-dimensional gapped quantum systems of independent electrons in a disordered background, including magnetic fields, as in...
Melchior Wirth,Haonan Zhang
Melchior Wirth
Following up on the recent work on lower Ricci curvature bounds for quantum systems, we introduce two noncommutative versions of curvature-dimension bounds for symmetric quantum Markov semigroups over matrix algebras. Under suitable such cu...
Incompatibility of Frequency Splitting and Spatial Localization: A Quantitative Analysis of Hegerfeldt's Theorem [0.03%]
赫格菲尔德定理的定量分析：频率分离与空间局域化之间的不相容性
Felix Finster,Claudio F Paganini
Felix Finster
We prove quantitative versions of the following statement: If a solution of the 1 + 1 -dimensional wave equation has spatially compact support and consists mainly of positive frequencies, then it must have a significant high-frequency comp...
Trotter Product Formulae for [Formula: see text] -Automorphisms of Quantum Lattice Systems [0.03%]
量子格系统[公式:见文本]-自同构的Trotter乘积公式
Sven Bachmann,Markus Lange
Sven Bachmann
We consider the dynamics t ↦ τ t of an infinite quantum lattice system that is generated by a local interaction. If the interaction decomposes into a finite number of terms that are themselves local interactions, we show that &...
Michael Kunzinger,Roland Steinbauer
Michael Kunzinger
The null distance of Sormani and Vega encodes the manifold topology as well as the causality structure of a (smooth) spacetime. We extend this concept to Lorentzian length spaces, the analog of (metric) length spaces, which generalize Loren...
On Multimatrix Models Motivated by Random Noncommutative Geometry II: A Yang-Mills-Higgs Matrix Model [0.03%]
受随机非交换几何启发的多重矩阵模型 II：Yang-Mills-Higgs 矩阵模型
Carlos I Perez-Sanchez
Carlos I Perez-Sanchez
We continue the study of fuzzy geometries inside Connes' spectral formalism and their relation to multimatrix models. In this companion paper to Pérez-Sánchez (Ann Henri Poincaré 22:3095-3148, 2021, arXiv:2007.10914), we propose a gauge ...
Gleb Aminov,Alba Grassi,Yasuyuki Hatsuda
Gleb Aminov
We present new analytic results on black hole perturbation theory. Our results are based on a novel relation to four-dimensional N = 2 supersymmetric gauge theories. We propose an exact version of Bohr-Sommerfeld quantization conditions on...
Kay Kirkpatrick,Simone Rademacher,Benjamin Schlein
Kay Kirkpatrick
We consider the many-body quantum evolution of a factorized initial data, in the mean-field regime. We show that fluctuations around the limiting Hartree dynamics satisfy large deviation estimates that are consistent with central limit theo...
G Canepa,A S Cattaneo,M Tecchiolli
G Canepa
We analyse the boundary structure of general relativity in the coframe formalism in the case of a lightlike boundary, i.e. when the restriction of the induced Lorentzian metric to the boundary is degenerate. We describe the associated reduc...