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Ultracold Atoms in Optical Lattices

Ultracold Atoms in Optical Lattices
Author: Maciej Lewenstein
Publisher: Oxford University Press
Total Pages: 494
Release: 2012-03-08
Genre: Science
ISBN: 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.


Artificial Gauge Fields with Ultracold Atoms in Optical Lattices

Artificial Gauge Fields with Ultracold Atoms in Optical Lattices
Author: Monika Aidelsburger
Publisher: Springer
Total Pages: 180
Release: 2015-12-14
Genre: Science
ISBN: 331925829X

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This work reports on the generation of artificial magnetic fields with ultracold atoms in optical lattices using laser-assisted tunneling, as well as on the first Chern-number measurement in a non-electronic system. It starts with an introduction to the Hofstadter model, which describes the dynamics of charged particles on a square lattice subjected to strong magnetic fields. This model exhibits energy bands with non-zero topological invariants called Chern numbers, a property that is at the origin of the quantum Hall effect. The main part of the work discusses the realization of analog systems with ultracold neutral atoms using laser-assisted-tunneling techniques both from a theoretical and experimental point of view. Staggered, homogeneous and spin-dependent flux distributions are generated and characterized using two-dimensional optical super-lattice potentials. Additionally their topological properties are studied via the observation of bulk topological currents. The experimental techniques presented here offer a unique setting for studying topologically non-trivial systems with ultracold atoms.


From Atom Optics to Quantum Simulation

From Atom Optics to Quantum Simulation
Author: Sebastian Will
Publisher: Springer Science & Business Media
Total Pages: 270
Release: 2012-12-15
Genre: Science
ISBN: 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.


Ultracold Atomic Physics

Ultracold Atomic Physics
Author: Hui Zhai
Publisher: Cambridge University Press
Total Pages: 311
Release: 2021-02-25
Genre: Science
ISBN: 110849868X

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


Quantum Gas Experiments: Exploring Many-body States

Quantum Gas Experiments: Exploring Many-body States
Author: Paivi Torma
Publisher: World Scientific
Total Pages: 339
Release: 2014-09-16
Genre: Science
ISBN: 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.


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
Total Pages: 391
Release: 2015-04-20
Genre: Science
ISBN: 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 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
Total Pages: 239
Release: 2011-06-28
Genre: Science
ISBN: 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 Bosonic and Fermionic Gases

Ultracold Bosonic and Fermionic Gases
Author: Kathy Levin
Publisher: Elsevier
Total Pages: 225
Release: 2012-11-15
Genre: Science
ISBN: 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


Synthetic Spin-orbit Coupling In Cold Atoms

Synthetic Spin-orbit Coupling In Cold Atoms
Author: Wei Zhang
Publisher: World Scientific
Total Pages: 308
Release: 2018-07-25
Genre: Science
ISBN: 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.