Quantum Chaos and Quantum Dots

Quantum Chaos and Quantum Dots PDF Author: Katsuhiro Nakamura
Publisher:
ISBN: 9780198525899
Category : Science
Languages : en
Pages : 228

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Book Description
Dynamics of billiard balls and their role in physics have received wide attention. Billiards can nowadays be created as quantum dots in the microscopic world enabling one to envisage the so-called quantum chaos, (i.e.: quantum manifestation of chaos of billiard balls). In fact, owing to recent progress in advanced technology, nanoscale quantum dots, such as chaotic stadium and antidot lattices analogous to the Sinai Billiard, can be fabricated at the interface of semiconductor heterojunctions. This book begins ite exploration of the effect of chaotic electron dynamics on ballistic quantum transport in quantum dots with a puzzling experiment on resistance fluctuations for stadium and circle dots. Throughout the text, major attention is paid to the semiclassical theory which makes it possible to interpret quantum phenomena in the language of the classical world. Chapters one to four are concerned with the elementary statistical methods (curvature, Lyapunov exponent, Kolmogorov-Sinai entropy and escape rate), which are needed for a semiclassical description of transport in quantum dots. Chapters five to ten discuss the topical subjects in the field, including the ballistic weak localization, Altshuler-Aronov-Spivak oscillation, partial time-reversal symmetry, persistent current, Arnold diffusion and Coulomb blockade.

Quantum Chaos and Quantum Dots

Quantum Chaos and Quantum Dots PDF Author: Katsuhiro Nakamura
Publisher:
ISBN: 9780198525899
Category : Science
Languages : en
Pages : 228

Get Book Here

Book Description
Dynamics of billiard balls and their role in physics have received wide attention. Billiards can nowadays be created as quantum dots in the microscopic world enabling one to envisage the so-called quantum chaos, (i.e.: quantum manifestation of chaos of billiard balls). In fact, owing to recent progress in advanced technology, nanoscale quantum dots, such as chaotic stadium and antidot lattices analogous to the Sinai Billiard, can be fabricated at the interface of semiconductor heterojunctions. This book begins ite exploration of the effect of chaotic electron dynamics on ballistic quantum transport in quantum dots with a puzzling experiment on resistance fluctuations for stadium and circle dots. Throughout the text, major attention is paid to the semiclassical theory which makes it possible to interpret quantum phenomena in the language of the classical world. Chapters one to four are concerned with the elementary statistical methods (curvature, Lyapunov exponent, Kolmogorov-Sinai entropy and escape rate), which are needed for a semiclassical description of transport in quantum dots. Chapters five to ten discuss the topical subjects in the field, including the ballistic weak localization, Altshuler-Aronov-Spivak oscillation, partial time-reversal symmetry, persistent current, Arnold diffusion and Coulomb blockade.

Quantum Chaos and Quantum Dots

Quantum Chaos and Quantum Dots PDF Author: Katsuhiro Nakamura
Publisher:
ISBN:
Category : Mesoscopic phenomena (Physics)
Languages : en
Pages : 0

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Book Description


Electrical Control and Quantum Chaos with a High-Spin Nucleus in Silicon

Electrical Control and Quantum Chaos with a High-Spin Nucleus in Silicon PDF Author: Serwan Asaad
Publisher: Springer Nature
ISBN: 3030834735
Category : Science
Languages : en
Pages : 212

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Book Description
Nuclear spins are highly coherent quantum objects that were featured in early ideas and demonstrations of quantum information processing. In silicon, the high-fidelity coherent control of a single phosphorus (31-P) nuclear spin I=1/2 has demonstrated record-breaking coherence times, entanglement, and weak measurements. In this thesis, we demonstrate the coherent quantum control of a single antimony (123-Sb) donor atom, whose higher nuclear spin I = 7/2 corresponds to eight nuclear spin states. However, rather than conventional nuclear magnetic resonance (NMR), we employ nuclear electric resonance (NER) to drive nuclear spin transitions using localized electric fields produced within a silicon nanoelectronic device. This method exploits an idea first proposed in 1961 but never realized experimentally with a single nucleus, nor in a non-polar crystal such as silicon. We then present a realistic proposal to construct a chaotic driven top from the nuclear spin of 123-Sb. Signatures of chaos are expected to arise for experimentally realizable parameters of the system, allowing the study of the relation between quantum decoherence and classical chaos, and the observation of dynamical tunneling. These results show that high-spin quadrupolar nuclei could be deployed as chaotic models, strain sensors, hybrid spin-mechanical quantum systems, and quantum-computing elements using all-electrical controls.

Quantum Chaos

Quantum Chaos PDF Author: Hans-Jürgen Stöckmann
Publisher: Cambridge University Press
ISBN: 0521592844
Category : Science
Languages : en
Pages : 386

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Book Description
Discusses quantum chaos, an important area of nonlinear science.

Semiconductor Lasers

Semiconductor Lasers PDF Author: Junji Ohtsubo
Publisher: Springer
ISBN: 3319561383
Category : Science
Languages : en
Pages : 679

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Book Description
This book describes the fascinating recent advances made concerning the chaos, stability and instability of semiconductor lasers, and discusses their applications and future prospects in detail. It emphasizes the dynamics in semiconductor lasers by optical and electronic feedback, optical injection, and injection current modulation. Applications of semiconductor laser chaos, control and noise, and semiconductor lasers are also demonstrated. Semiconductor lasers with new structures, such as vertical-cavity surface-emitting lasers and broad-area semiconductor lasers, are intriguing and promising devices. Current topics include fast physical number generation using chaotic semiconductor lasers for secure communication, development of chaos, quantum-dot semiconductor lasers and quantum-cascade semiconductor lasers, and vertical-cavity surface-emitting lasers. This fourth edition has been significantly expanded to reflect the latest developments. The fundamental theory of laser chaos and the chaotic dynamics in semiconductor lasers are discussed, but also for example the method of self-mixing interferometry in quantum-cascade lasers, which is indispensable in practical applications. Further, this edition covers chaos synchronization between two lasers and the application to secure optical communications. Another new topic is the consistency and synchronization property of many coupled semiconductor lasers in connection with the analogy of the dynamics between synaptic neurons and chaotic semiconductor lasers, which are compatible nonlinear dynamic elements. In particular, zero-lag synchronization between distant neurons plays a crucial role for information processing in the brain. Lastly, the book presents an application of the consistency and synchronization property in chaotic semiconductor lasers, namely a type of neuro-inspired information processing referred to as reservoir computing.

Fingerprints in the Optical and Transport Properties of Quantum Dots

Fingerprints in the Optical and Transport Properties of Quantum Dots PDF Author: Ameenah Al-Ahmadi
Publisher: BoD – Books on Demand
ISBN: 9535106481
Category : Science
Languages : en
Pages : 482

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Book Description
The book "Fingerprints in the optical and transport properties of quantum dots" provides novel and efficient methods for the calculation and investigating of the optical and transport properties of quantum dot systems. This book is divided into two sections. In section 1 includes ten chapters where novel optical properties are discussed. In section 2 involve eight chapters that investigate and model the most important effects of transport and electronics properties of quantum dot systems This is a collaborative book sharing and providing fundamental research such as the one conducted in Physics, Chemistry, Material Science, with a base text that could serve as a reference in research by presenting up-to-date research work on the field of quantum dot systems.

Chaos in Classical and Quantum Mechanics

Chaos in Classical and Quantum Mechanics PDF Author: Martin C. Gutzwiller
Publisher: Springer Science & Business Media
ISBN: 1461209838
Category : Mathematics
Languages : en
Pages : 445

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Book Description
Describes the chaos apparent in simple mechanical systems with the goal of elucidating the connections between classical and quantum mechanics. It develops the relevant ideas of the last two decades via geometric intuition rather than algebraic manipulation. The historical and cultural background against which these scientific developments have occurred is depicted, and realistic examples are discussed in detail. This book enables entry-level graduate students to tackle fresh problems in this rich field.

Quantum Gods

Quantum Gods PDF Author: Victor J. Stenger
Publisher: Prometheus Books
ISBN: 1615920587
Category : Religion
Languages : en
Pages : 292

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Book Description
Stenger alternates his discussions of popular spirituality with a survey of what the findings of 20th-century physics actually mean in laypersons terms--without equations.

Physics Of Semiconductors, The - Proceedings Of The 22nd International Conference (In 3 Volumes)

Physics Of Semiconductors, The - Proceedings Of The 22nd International Conference (In 3 Volumes) PDF Author: David J Lockwood
Publisher: World Scientific
ISBN: 9814550159
Category :
Languages : en
Pages : 2858

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Book Description
These proceedings review the progress in most aspects of semiconductor physics, including those related to materials, processing and devices. The conference continues the tradition of the ICPS series and these volumes include state-of-the-art lectures. The plenary and invited papers address areas of major interest.These volumes will serve as excellent material for researchers in semiconductor physics and related fields.

Low Dimensional Physics and Gauge Principles

Low Dimensional Physics and Gauge Principles PDF Author: V. G. Gurzadyan
Publisher: World Scientific
ISBN: 9814440337
Category : Science
Languages : en
Pages : 306

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Book Description