Cold Atoms and Permanent Magnetic Lattices

This book is divided into two parts. The first one deals with the Bose-Hubbard model which describes the dynamics of ultracold atoms in periodic potentials such as optical and magnetic lattices. These lattices have potential application in quantum information processing since they can provide storage registers for qubits based on neutral atoms. Simulation of ultracold Bose gases in lattices using gauge P representation, which is an exact quantum phase space method, is discussed in the book. Simulations that are in remarkable agreement with other calculations in limiting cases are presented in the book. The second part of the book dealing with permanent magnetic lattices provides a comprehensive overview of them. The author describes lattices of microtraps for trapping and controlling Bose-Einstein condensates (BECs) and quantum gases. High trap frequencies and therefore the possibility of creating BECs at a fraction of mK is an advantage of magnetic lattices over optical lattices. Graduate students in condensed matter and atomic physics as well as both newcomers and experts in the exciting fields of quantum-atom optics and quantum information are encouraged to reed this book.