Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Introduction

Nikolai A. Sinitsyn, V. L. Pokrovsky

Published Feb 5, 2026• 0 citations
Publisher

Abstract

Abstract The Introduction outlines the scopes of the book and motiovation. It introduces the type of processes that can be referred to as quasi-adiabatic. Using examples in nanostructures, ultra-cold atoms, quantum computers, and cosmology, we explain the importance of the quasi-abatic effects, such as geometric phases and nonadiatic transitions.

DOI
10.1093/oso/9780198988007.003.0001

Related papers

Quasi-Adiabatic Effects

Nikolai A. Sinitsyn, Valery Pokrovsky

Abstract This book is an introduction to explicitly time-dependent physics. We describe the theory of the dynamic regime that we refer to as “quasi-adiabatic”. It pertains to time-dependent evolution that, while slow, is not genuinely adiabatic. It is rich in effects that can be understood even in quantum systems with complex many-body interactions. Examples from research in quantum computing, phase transitions, Bose-Enstein condensates, and quantum control will be used to illustrate these effects. Prerequisites include undergraduate introductory courses in quantum and classical mechanics, as well as complex analysis. Our book aims to fill the gap in the literature by providing an accessible, for early graduate and advanced undergraduate students, introduction to both geometric phases and nonadiabatic transitions at a level sufficient to consider numerous applications.

•Feb 5, 2026•0 citations

Quasi-adiabatic dynamics in classical mechanics

Nikolai A. Sinitsyn, V. L. Pokrovsky

Abstract This chapter is introduction to geometric phases and nonadiabatic effects in classical mechanics. Applications are described for models of a passage through a phase transition in a scalar mean field theory.

•Feb 5, 2026•0 citations

From Nonlinearity to Coherence

J.M. Dixon, Jack A. Tuszyński, Peter A. Clarkson

Abstract Nonlinear physics has grown from a collection of exotic examples of nonstandard behavior to an all-embracing scientific methodology. Many examples come from condensed matter physics. This book presents a unified view of many-body condensed matter systems as essentially nonlinear structures capable of exhibiting such features as chaos, coherence, solution formation and phase transitions. The book provides an overview of nonlinear phenomena in science, introduces phase transitions and criticality, and includes a comprehensive exposition of methods and results in the analysis of nonlinear differential equations. To equip the reader with concrete skills in tackling nonlinear problems in physics, the authors also analyze important applications such as metamagnetism, superconductivity, the Hubbard Hamiltonian and the multielectron atom. The book can serve as both a compendium of facts and references related to nonlinear condensed matter physics and a practical introduction to current research methods and the field in general.

•May 29, 1997•20 citations

The Quantum World of Ultra-Cold Atoms and Light Book III: Ultra-Cold Atoms

Crispin W. Gardiner, P. Zoller

Cold atoms•Aug 24, 2017•1 citation

The Quantum World of Ultra-Cold Atoms and Light Book III: Ultra-Cold Atoms

Crispin W. Gardiner, P. Zoller

Cold atoms•Jun 15, 2017•13 citations

Introduction

Steven Herbert

Abstract The introduction to quantum computing foundations and practice motivates why quantum mechanics provides a model of computation that one should care about, and outlines the most important results in the field of quantum computing. In particular, the introduction gives details on the scope of the book, which is to provide a suitable and up-to-date canon of quantum algorithms along with important results establishing the real-world feasibility of building quantum computers. The introduction also discusses the double-slit experiment and the celebrated thought experiment Schrödinger’s cat to introduce the important quantum mechanical concepts of superposition, interferences, quantum measurement, and entanglement.

•Dec 8, 2025•0 citations
Abstract The Introduction outlines the scopes of the book and motiovation. It introduces the type of processes that can be referred to as quasi-adiabatic. Using examples in nanostructures, ultra-cold atoms, quantum computers, and cosmology, we explain the importance of the quasi-abatic effects, such as geometric phases and nonadiatic transitions.
Abstract This book is an introduction to explicitly time-dependent physics. We describe the theory of the dynamic regime that we refer to as “quasi-adiabatic”. It pertains to time-dependent evolution that, while slow, is not genuinely adiabatic. It is rich in effects that can be understood even in quantum systems with complex many-body interactions. Examples from research in quantum computing, phase transitions, Bose-Enstein condensates, and quantum control will be used to illustrate these effects. Prerequisites include undergraduate introductory courses in quantum and classical mechanics, as well as complex analysis. Our book aims to fill the gap in the literature by providing an accessible, for early graduate and advanced undergraduate students, introduction to both geometric phases and nonadiabatic transitions at a level sufficient to consider numerous applications.
Abstract Nonlinear physics has grown from a collection of exotic examples of nonstandard behavior to an all-embracing scientific methodology. Many examples come from condensed matter physics. This book presents a unified view of many-body condensed matter systems as essentially nonlinear structures capable of exhibiting such features as chaos, coherence, solution formation and phase transitions. The book provides an overview of nonlinear phenomena in science, introduces phase transitions and criticality, and includes a comprehensive exposition of methods and results in the analysis of nonlinear differential equations. To equip the reader with concrete skills in tackling nonlinear problems in physics, the authors also analyze important applications such as metamagnetism, superconductivity, the Hubbard Hamiltonian and the multielectron atom. The book can serve as both a compendium of facts and references related to nonlinear condensed matter physics and a practical introduction to current research methods and the field in general.
Abstract The introduction to quantum computing foundations and practice motivates why quantum mechanics provides a model of computation that one should care about, and outlines the most important results in the field of quantum computing. In particular, the introduction gives details on the scope of the book, which is to provide a suitable and up-to-date canon of quantum algorithms along with important results establishing the real-world feasibility of building quantum computers. The introduction also discusses the double-slit experiment and the celebrated thought experiment Schrödinger’s cat to introduce the important quantum mechanical concepts of superposition, interferences, quantum measurement, and entanglement.