Listar por autoría "534e1874-8378-49c3-8dca-5c16eb2adc9e"
Mostrando ítems 21-32 de 32
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Multiple photon effective Hamiltonians in linear quantum optical networks
García-Escartín, Juan Carlos; Gimeno, Vicent; Moyano-Fernández, Julio José Elsevier (2019)We give an alternative derivation for the explicit formula of the effective Hamiltonian describing the evolution of the quantum state of any number of photons entering a linear optics multiport. The description is based ... -
On the fundamental tone of minimal submanifolds with controlled extrinsic curvature
Gimeno, Vicent Springer (2013)The aim of this paper is to obtain the fundamental tone for minimal submanifolds of the Euclidean or hyperbolic space under certain restrictions on the extrinsic curvature. We show some sufficient conditions on the norm ... -
On the Fundamental Tone of Minimal Submanifolds with Controlled Extrinsic Curvature
Gimeno, Vicent Springer Verlag (2014)The aim of this paper is to obtain the fundamental tone for minimal submanifolds of the Euclidean or hyperbolic space under certain restrictions on the extrinsic curvature. We show some sufficient conditions on the norm ... -
On the total curvature and extrinsic area growth of surfaces with tamed second fundamental form
Gimeno, Vicent; Brandão, Cristiane M. Elsevier (2016)In this paper we show that a complete and non-compact surface immersed in the Euclidean space with quadratic extrinsic area growth has finite total curvature provided the surface has tamed second fundamental form and admits ... -
Optimal approximation to unitary quantum operators with linear optics
Garcia-Escartin, Juan Carlos; Gimeno, Vicent; Moyano-Fernández, Julio José Springer Nature (2021-09-21)Linear optical systems acting on photon number states produce many interesting evolutions, but cannot give all the allowed quantum operations on the input state. Using Toponogov’s theorem from differential geometry, we ... -
Parabolicity, Brownian Exit Time and Properness of Solitons of the Direct and Inverse Mean Curvature Flow
Gimeno, Vicent; Palmer, Vicente (2019-10-05)We study some potential theoretic properties of homothetic solitons n of the MCF and the IMCF. Using the analysis of the extrinsic distance function defined on these submanifolds in Rn+m, we observe similarities and ... -
QOptCraft: A Python package for the design and study of linear optical quantum systems
Gomez-Aguado, Daniel; Gimeno, Vicent; Moyano-Fernández, Julio José; Garcia-Escartin, Juan Carlos Elsevier (2022-08-29)The manipulation of the quantum states of light in linear optical systems has multiple applications in quantum optics and quantum computation. The package QOptCraft gives a collection of methods to solve some of the most ... -
The spectrum of the Laplacian and volume growth of proper minimal submanifolds
Bessa, G. Pacelli; Gimeno, Vicent; Polymerakis, Panagiotis Springer-Verlag GmbH Germany (2022-07)We give upper bounds for the bottom of the essential spectrum of properly immersed minimal submanifolds of Rn in terms of their volume growth. Our result can be viewed as an extrinsic version of Brooks’s essential spectrum ... -
Upper bounds for the Poincaré recurrence time in quantum mixed states
Gimeno, Vicent; Martínez Sotoca, José IOP Publishing Ltd. (2017-04)In this paper we use geometric techniques to provide upper bounds for the Poincaré recurrence time of a quantum mixed state with a discrete spectrum of energies. We obtain two types of upper bounds. One of them depends on ... -
Volume growth and the Cheeger isoperimetric constant of submanifolds
Gimeno, Vicent; Palmer Andreu, Vicente arXiv.org (2011)We obtain an estimate of the Cheeger isoperimetric constant in terms of the volume growth for a properly immersed submanifold in a Riemannian manifold which possesses at least one pole and sectional curvature bounded from above . -
Volume growth of submanifolds and the Cheeger isoperimetric constant
Gimeno, Vicent; Palmer Andreu, Vicente American Mathematical Society (2013-10)We obtain an estimate of the Cheeger isoperimetric constant in terms of the volume growth for a properly immersed submanifold in a Riemannian manifold which possesses at least one pole and sectional curvature bounded from above. -
Volume growth, number of ends and the topology of complete submanifolds
Gimeno, Vicent; Palmer Andreu, Vicente arXIV (2012)Given a complete isometric immersion $\phi: P^m \longrightarrow N^n$ in an ambient Riemannian manifold $N^n$ with a pole and with radial sectional curvatures bounded from above by the corresponding radial sectional curvatures ...