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pro vyhledávání: '"A, Urzúa"'
In this work, we make use of Lie algebraic methods to obtain the time evolution operator for an optomechanical system with linear and quadratic couplings between the field and the mechanical oscillator. Firstly, we consider the case of a non-driven s
Externí odkaz:
http://arxiv.org/abs/2412.11980
We classify all projective surfaces with only T-singularities, $K^2=2p_g-4$, and ample canonical class. In this way, we identify all surfaces, smoothable or not, with only T-singularities in the Koll\'ar--Shepherd-Barron--Alexeev (KSBA) moduli space
Externí odkaz:
http://arxiv.org/abs/2410.02943
Autor:
Medina-Dozal, L., Urzúa, A. R., Aranda-Lozano, D., González-Gutiérrez, C. A., Récamier, J., Román-Ancheyta, R.
Publikováno v:
Phys. Rev. A 110, 043703 (2024)
The Jaynes-Cummings quantum optics model allows us to understand the dialogue between light and matter at its most fundamental level, which is crucial for advancements in quantum science and technology. Several generalizations of the model have long
Externí odkaz:
http://arxiv.org/abs/2408.09061
Within the expansive domain of optical sciences, achieving the precise characterization of light beams stands as a fundamental pursuit, pivotal for various applications, including telecommunications and imaging technologies. This study introduces an
Externí odkaz:
http://arxiv.org/abs/2406.15641
This paper has been written to illustrate the power of techniques from tropical geometry and mirror symmetry for studying the KSBA moduli space of surfaces on or near the Noether line. We focus on the moduli space of octic double planes ($K^2 = 2$, $
Externí odkaz:
http://arxiv.org/abs/2405.02735
In this paper, we recast the variational formulation corresponding to the single layer boundary integral operator $\operatorname{V}$ for the wave equation as a minimization problem in $L^2(\Sigma)$, where $\Sigma := \partial \Omega \times (0,T)$ is t
Externí odkaz:
http://arxiv.org/abs/2312.12547
We show an example of an embedded copy of 5RP^2 in the four-sphere which is topologically standard but smoothly knotted, i.e. smoothly not isotopic to the standard embedding.
Comment: 18 pages, 3 figures. Mistake in the construction from previou
Comment: 18 pages, 3 figures. Mistake in the construction from previou
Externí odkaz:
http://arxiv.org/abs/2312.03617
Autor:
Urzúa, Giancarlo, Zúñiga, Juan Pablo
It is known that all degenerations of the complex projective plane into a surface with only quotient singularities are controlled by the positive integer solutions $(a,b,c)$ of the Markov equation $$x^2+y^2+z^2=3xyz.$$ It turns out that these degener
Externí odkaz:
http://arxiv.org/abs/2310.17957
Autor:
Olivier B. Bakker, Annique Claringbould, Harm-Jan Westra, Henry Wiersma, Floranne Boulogne, Urmo Võsa, Carlos G. Urzúa-Traslaviña, Sophie Mulcahy Symmons, Mahmoud M. M. Zidan, Marie C. Sadler, Zoltán Kutalik, Iris H. Jonkers, Lude Franke, Patrick Deelen
Publikováno v:
Scientific Reports, Vol 14, Iss 1, Pp 1-13 (2024)
Abstract Genetic variants identified through genome-wide association studies (GWAS) are typically non-coding, exerting small regulatory effects on downstream genes. However, which downstream genes are ultimately impacted and how they confer risk rema
Externí odkaz:
https://doaj.org/article/9ce5ca1daf92482e81d7d7d7db513a2a
Autor:
Medina-Dozal, L., Récamier, J., Moya-Cessa, H. M., Soto-Eguibar, F., Román-Ancheyta, R., Ramos-Prieto, I., Urzúa, A. R.
We obtain a time-evolution operator for a forced optomechanical quantum system using Lie algebraic methods when the normalized coupling between the electromagnetic field and a mechanical oscillator, $G/\omega_m$, is not negligible compared to one. Du
Externí odkaz:
http://arxiv.org/abs/2309.16087