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Quantum Optical Analogies in Waveguide-based Optical Structures

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Release : 2009
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Book Synopsis Quantum Optical Analogies in Waveguide-based Optical Structures by : Marco Ornigotti

Download or read book Quantum Optical Analogies in Waveguide-based Optical Structures written by Marco Ornigotti. This book was released on 2009. Available in PDF, EPUB and Kindle. Book excerpt:

Quantum Optical Analogies in Waveguide Based Optical Structures

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Release : 2013
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Kind : eBook
Book Rating : 242/5 ( reviews)

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Book Synopsis Quantum Optical Analogies in Waveguide Based Optical Structures by : Marco Ornigotti

Download or read book Quantum Optical Analogies in Waveguide Based Optical Structures written by Marco Ornigotti. This book was released on 2013. Available in PDF, EPUB and Kindle. Book excerpt: Analogy is a basic concept for understanding nature, since it analyses and connects different phenomena linked by common properties or similar behavior. In particular, analogy can to some extent apply to specific quantum phenomena and their corresponding classical effects, although quantum physics differs from classical physics in both formalism and fundamental concepts. The main motivation on studying quantum optical analogies rely on the fact that analogies between different fields of physics have proven themselves extremely fruitful in understanding the basic physical concepts and the limits of applicability of different theories; in particular, the analogies between classical physical theories and quantum phenomena reveal the fact that similar mathematical formalisms apply to phenomena that cannot be related at first glance and are a priori conceptually different. The role of mathematics is crucial, because the essence of the analogy resides in the fact that completely different systems can be modeled by similar mathematical equations, unveiling a hidden unity in Nature, beyond its apparent diversity.

Quantum-Classical Analogies

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Release : 2013-04-09
Genre : Science
Kind : eBook
Book Rating : 471/5 ( reviews)

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Book Synopsis Quantum-Classical Analogies by : Daniela Dragoman

Download or read book Quantum-Classical Analogies written by Daniela Dragoman. This book was released on 2013-04-09. Available in PDF, EPUB and Kindle. Book excerpt: It is unanimously accepted that the quantum and the classical descriptions of the physical reality are very different, although any quantum process is "mysteriously" transformed through measurement into an observable classical event. Beyond the conceptual differences, quantum and classical physics have a lot in common. And, more important, there are classical and quantum phenomena that are similar although they occur in completely different contexts. For example, the Schrödinger equation has the same mathematical form as the Helmholtz equation, there is an uncertainty relation in optics very similar to that in quantum mechanics, and so on; the list of examples is very long. Quantum-classical analogies have been used in recent years to study many quantum laws or phenomena at the macroscopic scale, to design and simulate mesoscopic devices at the macroscopic scale, to implement quantum computer algorithms with classical means, etc. On the other hand, the new forms of light – localized light, frozen light – seem to have more in common with solid state physics than with classical optics. So these analogies are a valuable tool in the quest to understand quantum phenomena and in the search for new (quantum or classical) applications, especially in the area of quantum devices and computing.

Quantum Optical Analogues

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Release : 2023-01-17
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Book Synopsis Quantum Optical Analogues by : Andon Rangelov

Download or read book Quantum Optical Analogues written by Andon Rangelov. This book was released on 2023-01-17. Available in PDF, EPUB and Kindle. Book excerpt: The analogy is a fundamental tool for understanding Mother Nature since it associates various phenomena related by common properties or comparable behavior. In particular, the analogies between classical physics and the quantum world show the fact that similar scientific formalisms apply to phenomena that are completely different. The role of mathematics is essential because the analogy principle exists in the fact that totally different systems can be modeled by similar mathematical equations. Specifically, analogies between quantum mechanics and wave optics have been emphasized since the beginning of quantum mechanics: wave effects like interference and diffraction were taken from optics and applied to exhibit the wavy idea of quantum particles, such as electrons, neutrons, and atoms. After the complete development of quantum theory, the exchange of ideas in the opposite way started to happen. In the recent decade quantum-classical analogies have seen a great revival thanks to quantum control schemes for the transfer of populations, such as excitation with the rapid adiabatic passage, stimulated Raman adiabatic passage, and composite pulses. Adiabatic processes in a dynamical system occur when an external perturbation of the system varies very slowly compared to its internal dynamics, allowing the system the time to adapt to the external changes. Mathematically, it means that for the entire dynamical evolution, the system remains at one of the eigenmodes of the system. Composite pulses are solutions to arbitrary optimization problems in a quantum system, driven by an external radiation field. The basic idea is to improve the performance of single-pulse excitation processes by applying multi-pulse (i.e. composite pulse) processes. The phases of the pulses in the composite sequence are appropriately chosen to yield a better performance of the composite excitation process compared to the single-pulse excitation. Now in this book, we will use the concepts of composite pulses and adiabatic evolution, from the realm of coherent quantum control, to demonstrate: (a) novel robust polarization manipulation devices; (b) efficient broadband and scalable frequency conversion schemes as well as optical parametric amplification schemes; (c) several new optical isolators; (d) several control schemes in waveguide arrays. All of this research is done by making the analogy between quantum mechanics and classical optics.

Top-Down Design of Disordered Photonic Structures

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Release : 2019-09-03
Genre : Science
Kind : eBook
Book Rating : 275/5 ( reviews)

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Book Synopsis Top-Down Design of Disordered Photonic Structures by : Sunkyu Yu

Download or read book Top-Down Design of Disordered Photonic Structures written by Sunkyu Yu. This book was released on 2019-09-03. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces recent advances in the deterministic design of photonic structures, which overcome the current limitation in conventional disordered materials. It develops new concepts for disordered photonics inspired by notions in quantum mechanics, solid-state physics, mathematics and network theory, such as isospectrality, supersymmetry, graph network, small-world, de Broglie-Bohm theory, and parity-time symmetry. The multidisciplinary approach based on the core concepts of isospectrality (Chapter 2) and metadisorder (Chapter 3) offers a new perspective on the design methodology in photonics and in general disordered structures toward top-down designs of future photonic applications: perfect bandgap with strong modal localization, switching of random waves for binary and fuzzy logics, photonic analogy of graph networks, interdimensional signal transport, robust wave functions in disordered structures, and a novel method of energy storage and phase trapping based on Bohmian photonics. This book will provide new design criteria for physicists and engineers in photonics, and inspirations for researchers in other fields.

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