Derivation of the Gross‐Pitaevskii hierarchy for the dynamics of Bose‐Einstein condensate [PDF]
, 2004 Consider a system of N bosons on the three‐dimensional unit torus interacting via a pair potential N2V(N(xi − xj)) where x = (x1, …, xN) denotes the positions of the particles. Suppose that the initial data ψN, 0 satisfies the condition $$ \bigl< \psi_{N,
L. Erdős, B. Schlein, H. Yau
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Bloch–Landau–Zener Oscillations in Moiré Lattices
Fortschritte der Physik, Volume 73, Issue 11, November 2025.Abstract A theory of two‐dimensional Bloch–Landau–Zener (BLZ) oscillations of wavepackets in incommensurate moiré lattices under the influence of a weak linear gradient is developed. Unlike periodic systems, aperiodic lattices lack translational symmetry and therefore do not exhibit a conventional band‐gap structure.
Sergey K. Ivanov +2 more
wiley +1 more source
Enhancement and suppression of spontaneous emission and light scattering by quantum degeneracy
, 2000 Quantum degeneracy modifies light scattering and spontaneous emission. For fermions, Pauli blocking leads to a suppression of both processes. In contrast, in a weakly interacting Bose-Einstein condensate, we find spontaneous emission to be enhanced ...
A. Görlitz +21 more
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Derivation of the Gross-Pitaevskii equation for the dynamics of Bose-Einstein condensate [PDF]
, 2004 Consider a system of N bosons in three dimensions interacting via a repulsive short range pair potential N 2 V (N(xi − xj)), where x = (x1, . . ., xN) denotes the positions of the particles. Let HN denote the Hamiltonian of the system and let ψN,t be the
L. Erdős, B. Schlein, H. Yau
semanticscholar +1 more source
Advances in Topological Thermoelectrics: Harnessing Quantum Materials for Energy Applications
Advanced Materials, Volume 37, Issue 39, October 2, 2025.Topological materials offer a novel platform for thermoelectric energy conversion through unique band features, including band inversion, linear Dirac bands, surface states, and Berry curvature. These quantum characteristics enable enhanced longitudinal and transverse thermoelectric effects, establishing topological thermoelectrics as a promising ...
Guangsai Yang +8 more
wiley +1 more source
Remarks on the Blow-Up Solutions for the Critical Gross-Pitaevskii Equation
Abstract and Applied Analysis, 2013 This paper is concerned with the blow-up solutions of the critical Gross-Pitaevskii equation, which models the Bose-Einstein condensate. The existence and qualitative properties of the minimal blow-up solutions are obtained.
Xiaoguang Li, Chong Lai
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Droplet formation in a Bose-Einstein condensate with strong dipole-dipole interaction [PDF]
, 2015 Motivated by the recent experiment [H. Kadau \textit{et al.}, arXiv:1508.05007 (2015)], we study roton instability and droplet formation in a Bose-Einstein condensate of $^{164}$Dy atoms with strong magnetic dipole-dipole interaction.
Kui-Tian Xi, H. Saito
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Perovskite Microwires for Room Temperature Exciton‐Polariton Neural Network
Advanced Materials, Volume 37, Issue 43, October 29, 2025.Exciton‐polaritons are explored as a novel platform for optical neuromorphic computing at room temperature using a monocrystalline perovskite waveguide. Demonstrating non‐equilibrium Bose‐Einstein condensation, this work achieves machine learning tasks such as classification and object detection, marking a key advance toward energy‐efficient, practical
Andrzej Opala +9 more
wiley +1 more source
Number-conserving master equation theory for a dilute Bose-Einstein condensate
, 2010 We describe the transition of $N$ weakly interacting atoms into a Bose-Einstein condensate within a number-conserving quantum master equation theory. Based on the separation of time scales for condensate formation and non-condensate thermalization, we ...
A. Schelle +10 more
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High-Precision Quantum-Enhanced Gravimetry with a Bose-Einstein Condensate [PDF]
, 2020 Stuart S. Szigeti +3 more
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