Download or read book Numerically Exact Studies of Ultracold Atoms on Optical Lattices written by Marcos Rigol Madrazo and published by . This book was released on 2004 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Quantum Many Body Physics of Ultracold Molecules in Optical Lattices written by Michael L. Wall and published by Springer. This book was released on 2015-04-20 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis investigates ultracold molecules as a resource for novel quantum many-body physics, in particular by utilizing their rich internal structure and strong, long-range dipole-dipole interactions. In addition, numerical methods based on matrix product states are analyzed in detail, and general algorithms for investigating the static and dynamic properties of essentially arbitrary one-dimensional quantum many-body systems are put forth. Finally, this thesis covers open-source implementations of matrix product state algorithms, as well as educational material designed to aid in the use of understanding such methods.
Download or read book Ultracold Atoms in Optical Lattices with Long range Interactions and Periodic Driving written by Olivier Tieleman and published by . This book was released on 2013 with total page 173 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis contains theoretical research on ultracold quantum gases in spatially periodic potentials, featuring high-frequency periodic driving, long-range interactions, or both. The largest part features deep potentials where the behaviour of the gas is well-described by quantum lattice models. The periodic driving is then integrated out to obtain effective time-independent descriptions. One project investigates emergent long-range interactions in a stationary, weak, spatially periodic potential, where a lattice theory is not appropriate.In two short introductory chapters, the topics of ultracold atoms, optical lattice potentials, periodic driving, and long-range interactions, are sketched, without attempting to give a complete overview. Some experimentally relevant length and energy scales are given, but the main focus is on deriving and constructing theoretical descriptions of ultracold gases in various spatially and/or temporally periodic potentials.The first project presented, is focused on how the single-particle spectrum of a Bose gas in a non-separable two-dimensional square lattice is affected by high-frequency periodic driving; the most striking conclusion is that under suitable circumstances, it develops two inequivalent minima, leading to finite-momentum Bose-Einstein condensation. Perturbative calculations indicate that local interactions induce spontaneous time-reversal symmetry breaking (TRSB) in such a system.The second project investigates the interplay between kinetic frustration and long-range interactions in fermionic gases. Both a mean-field approximation and exact diagonalisations predict that such a system, studied in the more specific realisation of a weakly interacting dipolar fermionic gas in a 2D triangular lattice, also leads to spontaneous TRSB. Furthermore, a density wave could form at quarter filling, where the Fermi surface is perfectly nested. Perhaps more interesting yet, a spatially inhomogeneous TRSB pattern is predicted, confined to the low-density sublattice that emerges in the density wave.The third project revolves around the question of supersolidity in the presence of a gauge field. Applying the Bogolyubov approximation to a variation of the extended Bose-Hubbard model, indicates that combining an artificial staggered magnetic field in a 2D square lattice with nearest-neighbour density-density interactions, not only leads to a supersolid with staggered vortices, but also induces an inhomogeneous distribution of the associated currents around the elementary plaquette.In the fourth project, a one-dimensional Bose gas with strong local interactions in a weak lattice at incommensurate densities is shown to feature excitations corresponding to excess or deficit particles. The excitations interact repulsively at long distances, in spite of the fact that the underlying atoms themselves do not. As a consequence, the incommensurability of the density with the lattice can drive a transition to a density wave and even a supersolid.The four above-mentioned research projects combine bosonic and fermionic gases, weak and strong interactions, perturbative and mean-field approximations, effective field theories and exact diagonalisations. The main overall conclusion is that long-range interactions and high-frequency periodic driving lead to a very diverse range of fascinating phenomena in ultracold lattice gases.
Download or read book Ultracold Atoms in Optical Lattices written by Maciej Lewenstein and published by Oxford University Press. This book was released on 2012-03-08 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the physics of atoms frozen to ultralow temperatures and trapped in periodic light structures. It introduces the reader to the spectacular progress achieved on the field of ultracold gases and describes present and future challenges in condensed matter physics, high energy physics, and quantum computation.
Download or read book Addressing of ultracold atoms in optical lattices written by Tim Langen and published by . This book was released on 2008 with total page 93 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Probing Strongly Correlated States of Ultracold Atoms in Optical Lattices written by and published by . This book was released on 2008 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis describes experiments which investigate ultracold atom ensembles in an optical lattice. Such quantum gases are powerful models for solid state physics. Several novel methods are demonstrated that probe the special properties of strongly correlated states in lattice potentials. Of these, quantum noise spectroscopy reveals spatial correlations in such states, which are hidden when using the usual methods of probing atomic gases. Another spectroscopic technique makes it possible to demonstrate the existence of a shell structure of regions with constant densities. Such coexisting phases separated by sharp boundaries had been theoretically predicted for the Mott insulating state. The tunneling processes in the optical lattice in the strongly correlated regime are probed by preparing the ensemble in an optical superlattice potential. This allows the time-resolved observation of the tunneling dynamics, and makes it possible to directly identify correlated tunneling processes.
Download or read book Numerical Studies of Spin Chains and Cold Atoms in Optical Lattices written by Sara Bergkvist Sylvan and published by . This book was released on 2007 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Effective Models for Low Dimensional Strongly Correlated Systems written by Ghassan George Batrouni and published by Springer Science & Business Media. This book was released on 2006-02-23 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: These proceedings cover the most recent developments in the fields of high temperature superconductivity, magnetic materials and cold atoms in traps. Special emphasis is given to recently developed numerical and analytical methods, such as effective model Hamiltonians, density matrix renormalization group as well as quantum Monte Carlo simulations. Several of the contributions are written by the pioneers of these methods.
Download or read book Ultracold Atoms in Optical Lattices written by Maciej Lewenstein and published by OUP Oxford. This book was released on 2012-03-08 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum computers, though not yet available on the market, will revolutionize the future of information processing. Quantum computers for special purposes like quantum simulators are already within reach. The physics of ultracold atoms, ions and molecules offer unprecedented possibilities of control of quantum many body systems and novel possibilities of applications to quantum information processing and quantum metrology. Particularly fascinating is the possibility of using ultracold atoms in lattices to simulate condensed matter or even high energy physics. This book provides a complete and comprehensive overview of ultracold lattice gases as quantum simulators. It opens up an interdisciplinary field involving atomic, molecular and optical physics, quantum optics, quantum information, condensed matter and high energy physics. The book includes some introductory chapters on basic concepts and methods, and then focuses on the physics of spinor, dipolar, disordered, and frustrated lattice gases. It reviews in detail the physics of artificial lattice gauge fields with ultracold gases. The last part of the book covers simulators of quantum computers. After a brief course in quantum information theory, the implementations of quantum computation with ultracold gases are discussed, as well as our current understanding of condensed matter from a quantum information perspective.
Download or read book Probing Strongly Correlated States of Ultracold Atoms in Optical Lattices written by Simon Fölling and published by . This book was released on 2008 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Many body Dynamics of Ultracold Atoms in Optical Lattices written by Carlos Alberto Parra Murillo and published by . This book was released on 2013 with total page 117 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Etude des atomes ultra froids fortement correl s dans les r seaux optiques written by Tung-Lam Dao and published by . This book was released on 2008 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Non equilibrium Dynamics of Ultracold Atoms in Optical Lattices written by and published by . This book was released on 2015 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Non equilibrium Dynamics of Ultracold Atoms in Optical Lattices written by Jens Philipp Ronzheimer and published by . This book was released on 2014 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Ultra Cold Atoms and Bec in a 1d Quasi Electrostatic Optical Lattice written by Sanjukta Roy and published by LAP Lambert Academic Publishing. This book was released on 2010-10 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ultra-cold atoms and Bose-Einstein condensate(BEC) in optical lattices is an ideal test-bed for fundamental models of condensed matter Physics. Experiments with cold atoms and BEC are quite challenging and requires the knowledge of a wide variety of experimental methods and techniques. In this book, the basic concepts of laser cooling and Bose-Einstein condensation are discussed along with a description of the experimental apparatus and methods. A source of cold atomic beam with high flux is described as a favourable starting point for a BEC experiment with high initial number of atoms. The theoretical basics of optical dipole trapping in harmonic traps and optical lattices are described along with the experimental techniques for efficient loading into a dipole trap and optical lattice. All-optical Bose-Einstein condensation in optical dipole trap and a 1D optical lattice is described followed by the study of mean-field dynamics in an array of micro-condensates produced in the 1D optical lattice. This book would provide a basic intoduction to laser-cooling and all-optical BEC experiments to newcomers in the field as well as a handy reference book for the experienced researchers.
Download or read book Hubbard Model The Recent Results written by Mario G Rasetti and published by World Scientific. This book was released on 1991-07-03 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of articles provides authoritative and up-to-date reviews on the Hubbard Model. It will be useful to graduate students and researchers in the field.
Download or read book Quantum Gases written by Nick Proukakis and published by World Scientific. This book was released on 2013 with total page 579 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides a broad overview of the principal theoretical techniques applied to non-equilibrium and finite temperature quantum gases. Covering Bose-Einstein condensates, degenerate Fermi gases, and the more recently realised exciton-polariton condensates, it fills a gap by linking between different methods with origins in condensed matter physics, quantum field theory, quantum optics, atomic physics, and statistical mechanics.
