Dynamical Tunneling : Theory and Experiment

A prominent aspect of quantum theory, tunneling arises in a variety of contexts across several fields of study, including nuclear, atomic, molecular, and optical physics and has led to technologically relevant applications in mesoscopic science. Exploring mechanisms and consequences, Dynamical Tunneling : Theory and Experiment presents the work of international experts who discuss the considerable progress that has been achieved in this arena in the past two decades.

Highlights in this volume include :

A historical introduction and overview of dynamical tunneling, with case histories ranging from simple and emblematic to complex and involving experimental counterparts
An emphasis on the semiclassical theory of tunneling put forth by various research groups using different approaches
Developments in tunneling with cold atoms and molecular manifestations
Advances in our ability to perform delicate and precise experiments in atomic systems
The visualization and control of photonic tunneling
The role of dynamical tunneling on energy flow and localization in large molecules

In the near future, complex tunneling processes occurring in few and many-body systems will be able to be predicted, understood, and controlled. Comprising all relevant topics and authors in the context of present-day research on dynamical tunneling, this self-contained volume provides readers with the basis for further discovery into the potential of this powerful phenomenon.

Foreword
Preface
Editors
Contributors

Chapter 1 : An Overview of Dynamical Tunneling, Eric J. Heller
Chapter 2 : Dynamical Tunneling with a Bose–Einstein Condensate, Winfried K. Hensinger
Chapter 3 : Chaos-Assisted Dynamical Tunneling in Atom Optics, Daniel A. Steck and Mark G. Raizen
Chapter 4 : Tractable Problems in Multidimensional Tunneling, Stephen C. Creagh
Chapter 5 : Semiclassical Analysis of Multidimensional Barrier Tunneling, Kin’ya Takahashi
Chapter 6 : Direct Regular-To-Chaotic Tunneling Rates using The Fictitious Integrable System Approach, Arnd Bäcker, Roland Ketzmerick, and Steffen Löck
Chapter 7 : Complex Semiclassical Approach to Chaotic Tunneling, Akira Shudo and Kensuke S. Ikeda
Chapter 8 : Resonance-Assisted Tunneling in Mixed Regular-Chaotic Systems, Peter Schlagheck, Amaury Mouchet, and Denis Ullmo
Chapter 9 : Dynamical Tunneling from the Edge of Vibrational State Space of Large Molecules, David M. Leitner
Chapter 10 : Dynamical Tunneling and Control, Srihari Keshavamurthy
Chapter 11 : Tunneling of Ultracold Atoms in Time-Independent Potentials, Ennio Arimondo and Sandro Wimberger
Chapter 12 : Dynamic Localization in Optical Lattices, Stephan Arlinghaus, Matthias Langemeyer, and Martin Holthaus
Chapter 13 : Control of Photonic Tunneling in Coupled Optical Waveguides, Stefano Longhi
Chapter 14 : Quantum Discrete Breathers, Ricardo A. Pinto and Sergej Flach
Chapter 15 : Tunneling in Open Quantum Systems, Alvise Verso and Joachim Ankerhold

Index