Existence and Asymptotic Behavior of Ground States for Rotating Bose–Einstein Condensates
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Publication:5887740
DOI10.1137/22M1474680MaRDI QIDQ5887740
Yujin Guo, Yong Luo, Shuangjie Peng
Publication date: 13 April 2023
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2106.14369
Nonlinear elliptic equations (35J60) PDEs in connection with quantum mechanics (35Q40) Applications of functional analysis in quantum physics (46N50) Variational methods for second-order elliptic equations (35J20)
Cites Work
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- The transition to a giant vortex phase in a fast rotating Bose-Einstein condensate
- Nonlinear Schrödinger equations and sharp interpolation estimates
- The concentration-compactness principle in the calculus of variations. The locally compact case. I
- The critical velocity for vortex existence in a two-dimensional rotating Bose-Einstein condensate
- Vortices in the magnetic Ginzburg-Landau model
- Lowest Landau level functional and Bargmann spaces for Bose-Einstein condensates
- Derivation of the Gross-Pitaevskii equation for rotating Bose gases
- Uniqueness of positive solutions of \(\Delta u-u+u^ p=0\) in \(R^ n\)
- Gross-Pitaevskii theory of the rotating Bose gas
- Minimax theorems
- Thomas-Fermi approximation for coexisting two component Bose-Einstein condensates and nonexistence of vortices for small rotation
- The nonexistence of vortices for rotating Bose-Einstein condensates with attractive interactions
- Local uniqueness of ground states for rotating Bose-Einstein condensates with attractive interactions
- Blow-up profile of rotating 2D focusing Bose gases
- Non-existence of vortices in the small density region of a condensate
- On the mass concentration for Bose-Einstein condensates with attractive interactions
- Vortices in Bose-Einstein condensates
- Uniqueness of standing waves for nonlinear Schrödinger equations
- Homogenization and Two-Scale Convergence
- Properties of ground states of attractive Gross–Pitaevskii equations with multi-well potentials
- Gauge Invariant Eigenvalue Problems in ℝⁿ and in ℝⁿ₊
- Local Uniqueness and Refined Spike Profiles of Ground States for Two-Dimensional Attractive Bose-Einstein Condensates
- ENERGY EXPANSION AND VORTEX LOCATION FOR A TWO-DIMENSIONAL ROTATING BOSE–EINSTEIN CONDENSATE
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