Zobrazeno 1 - 10
of 22 515
pro vyhledávání: '"Band, A"'
We show that the Aharonov-Casher phase is a geometric phase that depends on the details of the path taken by a particle having a magnetic moment that is subjected to an electric field. Consequently, it is not a topological phase. The proof of this as
Externí odkaz:
http://arxiv.org/abs/2411.04589
Autor:
Joshi, Vijay, Band, Iver
Recent advancements in large language models, including GPT-4 and its variants, and Generative AI-assisted coding tools like GitHub Copilot, ChatGPT, and Tabnine, have significantly transformed software development. This paper analyzes how these inno
Externí odkaz:
http://arxiv.org/abs/2411.02328
We present a review of the work L. Raymond from 1995. The review aims at making this work more accessible and offers adaptations of some statements and proofs. In addition, this review forms an applicable framework for the complete solution of the Dr
Externí odkaz:
http://arxiv.org/abs/2409.10920
Pretraining on large-scale, unstructured internet text enables language models to acquire a significant amount of world knowledge. However, this knowledge acquisition is data-inefficient--to learn a given fact, models must be trained on hundreds to t
Externí odkaz:
http://arxiv.org/abs/2409.07431
We study periodic approximations of aperiodic Schr\"odinger operators on lattices in Lie groups with dilation structure. The potentials arise through symbolic substitution systems that have been recently introduced in this setting. We characterize co
Externí odkaz:
http://arxiv.org/abs/2408.09282
Exotic Kondo effect in two one dimensional spin 1/2 chains coupled to two localized spin 1/2 magnets
We study an exotic Kondo effect in a system consisting of two one-dimensional XX Heisenberg ferromagnetic spin $1/2$ chains (denoted by $\alpha = u, d$ for up and down chains) coupled to a quantum dot consisting of two localized spin $1/2$ magnets. U
Externí odkaz:
http://arxiv.org/abs/2408.04353
The geometric phase in optics (GPIO) is directly associated with the polarization of light. We investigate the physical principles underlying the occurrence of the GPIO for a single-mode light beam propagating in a single-mode optical fiber wound int
Externí odkaz:
http://arxiv.org/abs/2407.19425
Language models (LMs) may lead their users to make suboptimal downstream decisions when they confidently hallucinate. This issue can be mitigated by having the LM verbally convey the probability that its claims are correct, but existing models cannot
Externí odkaz:
http://arxiv.org/abs/2404.00474
The Dry Ten Martini Problem for Sturmian Hamiltonians is affirmatively solved. Concretely, we prove that all spectral gaps are open for Schr\"odinger operators with Sturmian potentials and non-vanishing coupling constant. A key approach towards the s
Externí odkaz:
http://arxiv.org/abs/2402.16703
We consider light propagation in a silicon dioxide substrate with implanted ${\mathrm{Er}}^{3+}$ ions and silver nanoparticles that are randomly and homogeneously distributed in the substrate. When their densities are large enough, the medium can hav
Externí odkaz:
http://arxiv.org/abs/2402.08415