Quantum discrete breathers

Abstract

We review recent studies about quantum discrete breathers. We describe their basic properties in comparison with their classical counterparts, and the ways they may be addressed theoretically in different quantum lattice models including either bosonic or fermionic excitations. We also review recent experimental work in the field.

49 pages, 36 figures, some corrected typos, and the section "Conclusions and outlook" was added. Chapter for a book edited by S. Keshavamurthy and P. Schlagheck with title "Dynamical Tunneling: Theory and Experiment"