Classical and Quantum Parametric Phenomena

Classical and Quantum Parametric Phenomena PDF Author: Oded Zilberberg
Publisher: Oxford University Press
ISBN: 0192862707
Category : Parametric oscillators
Languages : en
Pages : 193

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Book Description
Classical and Quantum Parametric Phenomena provides an overview of the phenomena arising when parametric pumping is applied to oscillators. These phenomena include parametric amplification, noise squeezing, spontaneous symmetry breaking, activated switching, cat states, and synthetic Ising spin lattices. To understand these effects, topics are introduced such as nonlinear and stochastic dynamics, coupled systems, and quantum mechanics. Throughout the book, introductions are succinct as possible and attention is focused on understanding parametric oscillators. As a result, the text helps readers to familiarize themselves with many aspects of parametric systems and understand the common theoretical origin of nanomechanical sensors, optical amplifiers, and superconducting qubits. Parametric phenomena have enabled important scientific breakthroughs over the last decades and are still at the focus of intense research efforts. This book provides a resource for experimental and theoretical physicists entering the field or wishing to gain a deeper understanding of the underlying connections. This includes combining formal and intuitive explanations, accompanied by exercises based on numerical Python codes. This combination allows readers to experience parametric phenomena from various directions and apply their understanding directly to their own projects.

Classical and Quantum Parametric Phenomena

Classical and Quantum Parametric Phenomena PDF Author: Oded Zilberberg
Publisher: Oxford University Press
ISBN: 0192862707
Category : Parametric oscillators
Languages : en
Pages : 193

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Book Description
Classical and Quantum Parametric Phenomena provides an overview of the phenomena arising when parametric pumping is applied to oscillators. These phenomena include parametric amplification, noise squeezing, spontaneous symmetry breaking, activated switching, cat states, and synthetic Ising spin lattices. To understand these effects, topics are introduced such as nonlinear and stochastic dynamics, coupled systems, and quantum mechanics. Throughout the book, introductions are succinct as possible and attention is focused on understanding parametric oscillators. As a result, the text helps readers to familiarize themselves with many aspects of parametric systems and understand the common theoretical origin of nanomechanical sensors, optical amplifiers, and superconducting qubits. Parametric phenomena have enabled important scientific breakthroughs over the last decades and are still at the focus of intense research efforts. This book provides a resource for experimental and theoretical physicists entering the field or wishing to gain a deeper understanding of the underlying connections. This includes combining formal and intuitive explanations, accompanied by exercises based on numerical Python codes. This combination allows readers to experience parametric phenomena from various directions and apply their understanding directly to their own projects.

Nonlinear and Parametric Phenomena

Nonlinear and Parametric Phenomena PDF Author: Vladimir Damgov
Publisher: World Scientific
ISBN: 9810230516
Category : Science
Languages : en
Pages : 574

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Book Description
"O Canada" was first heard in 1880, but it was not until 100 years later that it became Canada's official national anthem. In this, the first illustrated edition of "O Canada," acclaimed Canadian artist Ted Harrison takes us on a spectacular journey across Canada, "from east to western sea." Through his joyous eye, Canada is revealed as a land of singular beauty.

Quantum-Classical Analogies

Quantum-Classical Analogies PDF Author: Daniela Dragoman
Publisher: Springer Science & Business Media
ISBN: 3662096471
Category : Science
Languages : en
Pages : 355

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Book Description
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.

Geometric Phases in Classical and Quantum Mechanics

Geometric Phases in Classical and Quantum Mechanics PDF Author: Dariusz Chruscinski
Publisher: Birkhäuser
ISBN: 9780817681777
Category : Mathematics
Languages : en
Pages : 337

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Book Description
Several well-established geometric and topological methods are used in this work in an application to a beautiful physical phenomenon known as the geometric phase. This book examines the geometric phase, bringing together different physical phenomena under a unified mathematical scheme. The material is presented so that graduate students and researchers in applied mathematics and physics with an understanding of classical and quantum mechanics can handle the text.

Classical Nonintegrability, Quantum Chaos

Classical Nonintegrability, Quantum Chaos PDF Author: Andreas Knauf
Publisher: Springer Science & Business Media
ISBN: 9783764357085
Category : Science
Languages : en
Pages : 114

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Book Description
Our DMV Seminar on 'Classical Nonintegrability, Quantum Chaos' intended to introduce students and beginning researchers to the techniques applied in nonin tegrable classical and quantum dynamics. Several of these lectures are collected in this volume. The basic phenomenon of nonlinear dynamics is mixing in phase space, lead ing to a positive dynamical entropy and a loss of information about the initial state. The nonlinear motion in phase space gives rise to a linear action on phase space functions which in the case of iterated maps is given by a so-called transfer operator. Good mixing rates lead to a spectral gap for this operator. Similar to the use made of the Riemann zeta function in the investigation of the prime numbers, dynamical zeta functions are now being applied in nonlinear dynamics. In Chapter 2 V. Baladi first introduces dynamical zeta functions and transfer operators, illustrating and motivating these notions with a simple one-dimensional dynamical system. Then she presents a commented list of useful references, helping the newcomer to enter smoothly into this fast-developing field of research. Chapter 3 on irregular scattering and Chapter 4 on quantum chaos by A. Knauf deal with solutions of the Hamilton and the Schr6dinger equation. Scatter ing by a potential force tends to be irregular if three or more scattering centres are present, and a typical phenomenon is the occurrence of a Cantor set of bounded orbits. The presence of this set influences those scattering orbits which come close.

OAR Cumulative Index of Research Results

OAR Cumulative Index of Research Results PDF Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 1264

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Book Description


Applications of Classical and Quantum Theories of Critical Phenomena to Electron and Ferroelectric Systems

Applications of Classical and Quantum Theories of Critical Phenomena to Electron and Ferroelectric Systems PDF Author: Rossen Roussev
Publisher:
ISBN:
Category :
Languages : en
Pages : 198

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Book Description


An Introduction to the Formalism of Quantum Information with Continuous Variables

An Introduction to the Formalism of Quantum Information with Continuous Variables PDF Author: Carlos Navarrete-Benlloch
Publisher: Morgan & Claypool Publishers
ISBN: 1681744066
Category : Science
Languages : en
Pages : 147

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Book Description
Quantum information is an emerging field which has attracted a lot of attention in the last couple of decades. It is a broad subject which extends from the most applied questions (e.g. how to build quantum computers or secure cryptographic systems) to the most theoretical problems concerning the formalism and interpretation of quantum mechanics, its complexity, and its potential to go beyond classical physics. This book is an introduction to quantum information with special emphasis on continuous-variable systems (such as light) which can be described as collections of harmonic oscillators. It covers a selection of basic concepts, focusing on their physical meaning and mathematical treatment. It starts from the very first principles of quantum mechanics, and builds up the concepts and techniques following a logical progression. This is an excellent reference for students with a full semester of standard quantum mechanics and researchers in closely related fields.

Soviet Physics, Uspekhi

Soviet Physics, Uspekhi PDF Author:
Publisher:
ISBN:
Category : Physics
Languages : en
Pages : 584

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Book Description


Quantum Theory of Optical Coherence

Quantum Theory of Optical Coherence PDF Author: Roy J. Glauber
Publisher: John Wiley & Sons
ISBN: 3527406875
Category : Science
Languages : en
Pages : 658

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Book Description
A summary of the pioneering work of Glauber in the field of optical coherence phenomena and photon statistics, this book describes the fundamental ideas of modern quantum optics and photonics in a tutorial style. It is thus not only intended as a reference for researchers in the field, but also to give graduate students an insight into the basic theories of the field. Written by the Nobel Laureate himself, the concepts described in this book have formed the basis for three further Nobel Prizes in Physics within the last decade.