Optical emulator of two atoms in a double well
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Inclou dades d'ús des de 2022
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hdl:2117/168556
Tipus de documentProjecte Final de Màster Oficial
Data2019-09-09
Condicions d'accésAccés obert
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Reconeixement-NoComercial-SenseObraDerivada 3.0 Espanya
Abstract
We show that optical fibers with an inhomogeneous refractive index profile and thin metallic slabs can be used to simulate a one dimensional system of two interacting particles in a double well. We first study the single particle energies. We use them to characterize the states at the limit of infinitely high interacting barrier. The states are classified by their symmetries. We demonstrate that the optical system is able to produce wave chaos which is analogous of quantum chaos in our simulated system, that is, the spacing between the energy levels follows the Wigner-Dyson distribution. We prove these results with two different methods, corresponding to first and second quantization in the simulated atom systems.
Descripció
The first goal of the project is to establish optical fibers with a graded index profile and thin metallic slabs as an emulator for various kinds of interacting ultracold atom systems. A second goal is to investigate how such system can be used in practical applications or to illustrate important abstract concepts, such as classical non-separability, which is the analogous of entanglement in the quantum system We have already shown that this kind of fiber, with three metallic slabs in a hexagonal structure, represents an analogous system of three interacting atoms [1].
Col·leccions
Fitxers | Descripció | Mida | Format | Visualitza |
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Master thesis Arnau Fabra.pdf | 6,978Mb | Visualitza/Obre |