Ultracold Atoms in Optical Lattices

Ultracold Atoms in Optical Lattices

Author: Maciej Lewenstein

Publisher: Oxford University Press

Published: 2012-03-08

Total Pages: 494

ISBN-13: 0199573123

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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.


Ultracold Atomic Physics

Ultracold Atomic Physics

Author: Hui Zhai

Publisher: Cambridge University Press

Published: 2021-02-25

Total Pages: 311

ISBN-13: 110849868X

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A modern introduction to ultracold atomic physics combining fundamental theory with discussion of cold atom phenomena and applications.


From Atom Optics to Quantum Simulation

From Atom Optics to Quantum Simulation

Author: Sebastian Will

Publisher: Springer Science & Business Media

Published: 2012-12-15

Total Pages: 270

ISBN-13: 3642336337

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This thesis explores ultracold quantum gases of bosonic and fermionic atoms in optical lattices. The highly controllable experimental setting discussed in this work, has opened the door to new insights into static and dynamical properties of ultracold quantum matter. One of the highlights reported here is the development and application of a novel time-resolved spectroscopy technique for quantum many-body systems. By following the dynamical evolution of a many-body system after a quantum quench, the author shows how the important energy scales of the underlying Hamiltonian can be measured with high precision. This achievement, its application, and many other exciting results make this thesis of interest to a broad audience ranging from quantum optics to condensed matter physics. A lucid style of writing accompanied by a series of excellent figures make the work accessible to readers outside the rapidly growing research field of ultracold atoms.


Quantum Many-Body Physics of Ultracold Molecules in Optical Lattices

Quantum Many-Body Physics of Ultracold Molecules in Optical Lattices

Author: Michael L. Wall

Publisher: Springer

Published: 2015-04-20

Total Pages: 391

ISBN-13: 3319142526

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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.


Quantum Gas Experiments: Exploring Many-body States

Quantum Gas Experiments: Exploring Many-body States

Author: Paivi Torma

Publisher: World Scientific

Published: 2014-09-16

Total Pages: 339

ISBN-13: 1783264772

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Quantum phenomena of many-particle systems are fascinating in their complexity and are consequently not fully understood and largely untapped in terms of practical applications. Ultracold gases provide a unique platform to build up model systems of quantum many-body physics with highly controlled microscopic constituents. In this way, many-body quantum phenomena can be investigated with an unprecedented level of precision, and control and models that cannot be solved with present day computers may be studied using ultracold gases as a quantum simulator.This book addresses the need for a comprehensive description of the most important advanced experimental methods and techniques that have been developed along with the theoretical framework in a clear and applicable format. The focus is on methods that are especially crucial in probing and understanding the many-body nature of the quantum phenomena in ultracold gases and most topics are covered both from a theoretical and experimental viewpoint, with interrelated chapters written by experts from both sides of research.Graduate students and post-doctoral researches working on ultracold gases will benefit from this book, as well as researchers from other fields who wish to gain an overview of the recent fascinating developments in this very dynamically evolving field. Sufficient level of both detailed high level research and a pedagogical approach is maintained throughout the book so as to be of value to those entering the field as well as advanced researchers. Furthermore, both experimentalists and theorists will benefit from the book; close collaboration between the two are continuously driving the field to a very high level and will be strengthened to continue the important progress yet to be made in the field.


Synthetic Spin-orbit Coupling In Cold Atoms

Synthetic Spin-orbit Coupling In Cold Atoms

Author: Wei Zhang

Publisher: World Scientific

Published: 2018-07-25

Total Pages: 307

ISBN-13: 9813272546

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This is a review volume covering a wide range of topics in this newly developed research field. The intended audience corresponds to graduate students, post-docs and colleagues working in the field of cold atomic gases. This is the first review volume dedicated to this active research frontier, and provides a comprehensive and pedagogical summary of recent progresses in the field.


Ultracold Bosonic and Fermionic Gases

Ultracold Bosonic and Fermionic Gases

Author: Kathy Levin

Publisher: Elsevier

Published: 2012-11-15

Total Pages: 225

ISBN-13: 0444538623

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The rapidly developing topic of ultracold atoms has many actual and potential applications for condensed-matter science, and the contributions to this book emphasize these connections. Ultracold Bose and Fermi quantum gases are introduced at a level appropriate for first-year graduate students and non-specialists such as more mature general physicists. The reader will find answers to questions like: how are experiments conducted and how are the results interpreted? What are the advantages and limitations of ultracold atoms in studying many-body physics? How do experiments on ultracold atoms facilitate novel scientific opportunities relevant to the condensed-matted community? This volume seeks to be comprehensible rather than comprehensive; it aims at the level of a colloquium, accessible to outside readers, containing only minimal equations and limited references. In large part, it relies on many beautiful experiments from the past fifteen years and their very fruitful interplay with basic theoretical ideas. In this particular context, phenomena most relevant to condensed-matter science have been emphasized. - Introduces ultracold Bose and Fermi quantum gases at a level appropriate for non-specialists - Discusses landmark experiments and their fruitful interplay with basic theoretical ideas - Comprehensible rather than comprehensive, containing only minimal equations


Quantum Phase Transitions in Cold Atoms and Low Temperature Solids

Quantum Phase Transitions in Cold Atoms and Low Temperature Solids

Author: Kaden Richard Alan Hazzard

Publisher: Springer Science & Business Media

Published: 2011-06-28

Total Pages: 239

ISBN-13: 1441981799

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The primary focus of this thesis is to theoretically describe nanokelvin experiments in cold atomic gases, which offer the potential to revolutionize our understanding of strongly correlated many-body systems. The thesis attacks major challenges of the field: it proposes and analyzes experimental protocols to create new and interesting states of matter and introduces theoretical techniques to describe probes of these states. The phenomena considered include the fractional quantum Hall effect, spectroscopy of strongly correlated states, and quantum criticality, among others. The thesis also clarifies experiments on disordered quantum solids, which display a variety of exotic phenomena and are candidates to exhibit so-called "supersolidity." It collects experimental results and constrains their interpretation through theoretical considerations. This Doctoral Thesis has been accepted by Cornell University, Ithaca, USA.


Ultracold Atoms in Optical Lattices

Ultracold Atoms in Optical Lattices

Author: Maciej Lewenstein

Publisher: OUP Oxford

Published: 2012-03-08

Total Pages: 494

ISBN-13: 0191627437

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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.


Hubbard Model, The: Recent Results

Hubbard Model, The: Recent Results

Author: Mario G Rasetti

Publisher: World Scientific

Published: 1991-07-03

Total Pages: 242

ISBN-13: 9814513962

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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.