1st Edition

Dynamical Tunneling
Theory and Experiment

ISBN 9781138113503
Published September 12, 2017 by CRC Press
406 Pages 30 Color & 272 B/W Illustrations

USD $86.95

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Book Description

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.

Table of Contents

An Overview of Dynamical Tunneling, Eric J. Heller

Dynamical Tunneling with a Bose–Einstein Condensate, Winfried K. Hensinger

Chaos-Assisted Dynamical Tunneling in Atom Optics, Daniel A. Steck and Mark G. Raizen

Tractable Problems in Multidimensional Tunneling, Stephen C. Creagh

Semiclassical Analysis of Multidimensional Barrier Tunneling, Kin’ya Takahashi

Direct Regular-To-Chaotic Tunneling Rates using The Fictitious Integrable System Approach, Arnd Bäcker, Roland Ketzmerick, and Steffen Löck

Complex Semiclassical Approach to Chaotic Tunneling, Akira Shudo and Kensuke S. Ikeda

Resonance-Assisted Tunneling in Mixed Regular-Chaotic Systems, Peter Schlagheck, Amaury Mouchet, and Denis Ullmo

Dynamical Tunneling from the Edge of Vibrational State Space of Large Molecules, David M. Leitner

Dynamical Tunneling and Control, Srihari Keshavamurthy

Tunneling of Ultracold Atoms in Time-Independent Potentials, Ennio Arimondo and Sandro Wimberger

Dynamic Localization in Optical Lattices, Stephan Arlinghaus, Matthias Langemeyer, and Martin Holthaus

Control of Photonic Tunneling in Coupled Optical Waveguides, Stefano Longhi

Quantum Discrete Breathers, Ricardo A. Pinto and Sergej Flach

Tunneling in Open Quantum Systems, Alvise Verso and Joachim Ankerhold


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Srihari Keshavamurthy is a theoretical chemist with the department of chemistry at the Indian Institute of Technology Kanpur, India. He received his BSc degree from the University of Madras, MS from Villanova University, and PhD from University of California, Berkeley. After a postdoc at Cornell, he joined IIT Kanpur in December 1996. Srihari’s primary interest is the mechanisms of chemical reaction dynamics and control from the classical-quantum correspondence perspective.

Peter Schlagheck is a theoretical physicist with the department of physics at the University of Liège. He received his PhD in 1999 at the Technical University of Munich. After a postdoc at the Université Paris Sud from 1999 to 2001, he became assistant at University of Regensburg in 2002. In 2009, he obtained a faculty position at the University of Liège. Schlagheck’s research interests include the transport of ultracold atoms and tunneling in the presence of chaos.