Theoretical Studies Of Ultracold Atomic Gases With Synthetic Gauge Fields

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Theoretical Studies of Ultracold Atomic Gases with Synthetic Gauge Fields

Author : JUAN. YAO
Publisher :
ISBN 13 : 9781361043110
Total Pages : pages
Book Rating : 4.0/5 (431 download)

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Book Synopsis Theoretical Studies of Ultracold Atomic Gases with Synthetic Gauge Fields by : JUAN. YAO

Download or read book Theoretical Studies of Ultracold Atomic Gases with Synthetic Gauge Fields written by JUAN. YAO and published by . This book was released on 2017-01-26 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This dissertation, "Theoretical Studies of Ultracold Atomic Gases With Synthetic Gauge Fields" by Juan, Yao, 姚娟, was obtained from The University of Hong Kong (Pokfulam, Hong Kong) and is being sold pursuant to Creative Commons: Attribution 3.0 Hong Kong License. The content of this dissertation has not been altered in any way. We have altered the formatting in order to facilitate the ease of printing and reading of the dissertation. All rights not granted by the above license are retained by the author. Abstract: Since the realization of Bose-Einstein condensation in 1995, experimentalists in ultracold atomic gas community have developed a set of entirely new methods to study quantum gases. In ultracold atomic gases, implementation of synthetic gauge fields, the spin-orbit coupling, optical lattices and Feshbach resonances, provides a clean and highly controllable platform to tune the parameters of the system, which are typically fixed for real materials. Motivated by the rapid developments of experimental progresses, I investigate the ultracold atomic gases with synthetic gauge fields. In this thesis, a bosonic gas in optical lattices in the presence of an effective staggered magnetic flux will be studied, using a generalized Bose-Hubbard model. Phase transition from the Mott insulating phase to the superfluid phase will be discussed. Novel superfluid phases including the stripe phase and the plane wave phase will be discussed. Furthermore, the existence of a tricritical point in the phase diagram is predicted. To study Fermi systems with synthetic gauge fields, a spin-1=2 Fermi gas with Rashba spin-orbit coupling is investigated by studying the structure of vortex line through the Bardeen-Cooper-Schrieffer to Bose-Einstein condensation (BCSBEC) crossover. Due to the spin-orbit coupling, the s-wave interacting Fermi gas behaves like an effective p-wave paired system. A discussion about the vortex line structure will be provided by calculating the spatial distribution of the gap function, the density, the particle current, and also the elementary excitations. It has been found that the most robust superfluid occurs around the unitary point, indicated by the smallest healing length and the largest critical current. Finally, motivated by the recent progress of p-wave resonantly Fermi gas in experiment, an extension of Nozieres-Schmitt-Rink method to the p-wave case will be given. An investigation of the normal state properties will be given by calculating the equation of state and the p-wave contacts, which have been measured by the experiment. Furthermore, the superfluid transition temperature with realistic parameters appropriate for experiment is calculated and is found to be within experimental reach. Subjects: Gauge fields (Physics) Cold gases

Ultracold Atomic Physics

Author : Hui Zhai
Publisher : Cambridge University Press
ISBN 13 : 1108584748
Total Pages : 311 pages
Book Rating : 4.1/5 (85 download)

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Book Synopsis Ultracold Atomic Physics by : Hui Zhai

Download or read book Ultracold Atomic Physics written by Hui Zhai and published by Cambridge University Press. This book was released on 2021-02-25 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: The field of ultracold atomic physics has developed rapidly during the last two decades, and currently encompasses a broad range of topics in physics, with a variety of important applications in topics ranging from quantum computing and simulation to quantum metrology, and can be used to probe fundamental many-body effects such as superconductivity and superfluidity. Beginning with the underlying and including the most cutting-edge experimental developments, this textbook covers essential topics such as Bose-Einstein condensation of alkali atoms, studies of BEC-BCS crossover in degenerate Fermi gas, synthetic gauge fields and Hubbard models, and many-body localization and dynamical gauge fields. Key physical concepts, such as symmetry and universality highlight the connections between different systems, and theory is developed with plain derivations supported by experimental results. This self-contained and modern text will be invaluable for researchers, graduate students and advanced undergraduates studying cold atom physics, from both a theoretical and experimental perspective.

Topics in Multi-component Ultracold Gases and Gauge Fields

Author :
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (932 download)

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Book Synopsis Topics in Multi-component Ultracold Gases and Gauge Fields by :

Download or read book Topics in Multi-component Ultracold Gases and Gauge Fields written by and published by . This book was released on 2012 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Ultracold Atoms in Optical Lattices

Author : Maciej Lewenstein
Publisher : Oxford University Press
ISBN 13 : 0199573123
Total Pages : 494 pages
Book Rating : 4.1/5 (995 download)

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Book Synopsis Ultracold Atoms in Optical Lattices by : Maciej Lewenstein

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.

Ultracold Bosonic and Fermionic Gases

Author : Kathryn Levin
Publisher : Elsevier
ISBN 13 : 0444538577
Total Pages : 226 pages
Book Rating : 4.4/5 (445 download)

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Book Synopsis Ultracold Bosonic and Fermionic Gases by : Kathryn Levin

Download or read book Ultracold Bosonic and Fermionic Gases written by Kathryn Levin and published by Elsevier. This book was released on 2012-07-30 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Ultracold Gases in Non-abelian Synthetic Gauge Fields

Author : Anna Kubasiak
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (85 download)

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Book Synopsis Ultracold Gases in Non-abelian Synthetic Gauge Fields by : Anna Kubasiak

Download or read book Ultracold Gases in Non-abelian Synthetic Gauge Fields written by Anna Kubasiak and published by . This book was released on 2011 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Topics in Ultracold Atomic Gases

Author : Weiran Li
Publisher :
ISBN 13 :
Total Pages : 154 pages
Book Rating : 4.:/5 (869 download)

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Book Synopsis Topics in Ultracold Atomic Gases by : Weiran Li

Download or read book Topics in Ultracold Atomic Gases written by Weiran Li and published by . This book was released on 2013 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: This thesis discusses two important topics in ultracold atomic gases: strong interactions in quantum gases, and quantum Hall physics in neutral atoms. First we give a brief introduction on basic scattering models in atomic physics, and an approach to adjust the interactions between atoms. We also include a list of experimental probes in cold atom physics. After these introductions, in Chapter 3, we report a few interesting problems in strongly interacting quantum gases. We introduce the BCS-BEC crossover model and relevant many-body techniques at the beginning, and discuss the details of several specific systems. We find the Fermi gases across narrow Feshbach resonances are strongly interacting at low temperature even when the magnetic field is several widths away from the resonance. We also discuss an approach to describe the metastable repulsive branch of Bose and Fermi gases across the resonance, and find a stable region of repulsive Bose gas close to unitarity. Some studies in two dimensional Fermi gases with spin imbalance are also included, and they are closely related to a number of recent experiments. In Chapter 4, we discuss quantum Hall physics in the context of neutral atomic gases. After illustrating how the Berry phase experienced by neutral atoms is equivalent to the magnetic field in electrons, we introduce the newly developed synthetic gauge field scheme in which a gauge potential is coupled to the neutral atoms. We give a detail introduction to this Raman coupling scheme developed by NIST group, and derive the theoretical model of the system. Then we make some predictions on the evolution of quantum Hall states when an extra anisotropy is applied from the external trap. Finally, we propose some experiments to verify our predictions.

Synthetic Spin-orbit Coupling In Cold Atoms

Author : Wei Zhang
Publisher : World Scientific
ISBN 13 : 9813272546
Total Pages : 307 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis Synthetic Spin-orbit Coupling In Cold Atoms by : Wei Zhang

Download or read book Synthetic Spin-orbit Coupling In Cold Atoms written by Wei Zhang and published by World Scientific. This book was released on 2018-07-25 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Physics On Ultracold Quantum Gases

Author : Yongjian Han
Publisher : World Scientific
ISBN 13 : 9813270772
Total Pages : 287 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis Physics On Ultracold Quantum Gases by : Yongjian Han

Download or read book Physics On Ultracold Quantum Gases written by Yongjian Han and published by World Scientific. This book was released on 2018-11-16 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book derives from the content of graduate courses on cold atomic gases, taught at the Renmin University of China and at the University of Science and Technology of China. It provides a brief review on the history and current research frontiers in the field of ultracold atomic gases, as well as basic theoretical description of few- and many-body physics in the system. Starting from the basics such as atomic structure, atom-light interaction, laser cooling and trapping, the book then moves on to focus on the treatment of ultracold Fermi gases, before turning to topics in quantum simulation using cold atoms in optical lattices.The book would be ideal not only for professionals and researchers, but also for familiarizing junior graduate students with the subject and aiding them in their preparation for future study and research in the field.

Quantum Gases

Author : Nick Proukakis
Publisher : World Scientific
ISBN 13 : 1848168128
Total Pages : 579 pages
Book Rating : 4.8/5 (481 download)

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Book Synopsis Quantum Gases by : Nick Proukakis

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.

Exploring New Physics in Ultracold Quantum Gases

Author : Biao Huang
Publisher :
ISBN 13 :
Total Pages : 116 pages
Book Rating : 4.:/5 (974 download)

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Book Synopsis Exploring New Physics in Ultracold Quantum Gases by : Biao Huang

Download or read book Exploring New Physics in Ultracold Quantum Gases written by Biao Huang and published by . This book was released on 2016 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: A large portion of cold atom researches have been devoted to finding novel systems by taking advantage of the high manipulability of cold atom experiments. From the original Bose-Einstein condensates, to the recent realization of Harper-Hofstadter models, cold atoms have kept feeding the world with surprises of realizing systems that were once thought to be purely theoretical constructions. Such trend of research have propelled this thesis to seek for possible new physics based on current cold atom technologies, and to discuss its unique properties. In the first part, we will discuss the local spin ordering for systems made of large spin fermions. This is a generalization of the usual magnetic ordering for spin-1/2 systems, and we shall see that the large spin characters have made qualitative difference. Here we provide a general tensorial classification for fermionic systems of arbitrary spin, and discussed their general character and associated topological defects in the Majorana representation. We have also identified a series of highly symmetric “Platonic solid states” that are stable against perturbations, and have good chance of being observed in experiments. The second part focuses on another topic, which is the eects of background manifold on the quantum systems residing on it. We will first examine the vortex physics for Bose condensates confined on non-trivial 2D surfaces with synthetic gauge fields. In particular, we discuss in detail the cylindrical surface as an example where two types of vortices and a peculiar “necklace” pattern show up as a result of the confining geometry. Then we discuss the topic of Hall viscosity, a unique dissipationless viscosity coeffcient that is related to the adiabatic change of space geometry. We relate it to the density response of a system, and therefore provide an alternative way to compute and measure such a quantity.

Condensed Matter Field Theory

Author : Alexander Altland
Publisher : Cambridge University Press
ISBN 13 : 0521769752
Total Pages : 785 pages
Book Rating : 4.5/5 (217 download)

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Book Synopsis Condensed Matter Field Theory by : Alexander Altland

Download or read book Condensed Matter Field Theory written by Alexander Altland and published by Cambridge University Press. This book was released on 2010-03-11 with total page 785 pages. Available in PDF, EPUB and Kindle. Book excerpt: This primer is aimed at elevating graduate students of condensed matter theory to a level where they can engage in independent research. Topics covered include second quantisation, path and functional field integration, mean-field theory and collective phenomena.

Artificial Gauge Fields with Ultracold Atoms in Optical Lattices

Author : Monika Aidelsburger
Publisher : Springer
ISBN 13 : 331925829X
Total Pages : 180 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Artificial Gauge Fields with Ultracold Atoms in Optical Lattices by : Monika Aidelsburger

Download or read book Artificial Gauge Fields with Ultracold Atoms in Optical Lattices written by Monika Aidelsburger and published by Springer. This book was released on 2015-12-14 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Bose-Condensed Gases at Finite Temperatures

Author : Allan Griffin
Publisher : Cambridge University Press
ISBN 13 : 1139473832
Total Pages : 475 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Bose-Condensed Gases at Finite Temperatures by : Allan Griffin

Download or read book Bose-Condensed Gases at Finite Temperatures written by Allan Griffin and published by Cambridge University Press. This book was released on 2009-02-19 with total page 475 pages. Available in PDF, EPUB and Kindle. Book excerpt: The discovery of Bose–Einstein condensation (BEC) in trapped ultracold atomic gases in 1995 has led to an explosion of theoretical and experimental research on the properties of Bose-condensed dilute gases. The first treatment of BEC at finite temperatures, this book presents a thorough account of the theory of two-component dynamics and nonequilibrium behaviour in superfluid Bose gases. It uses a simplified microscopic model to give a clear, explicit account of collective modes in both the collisionless and collision-dominated regions. Major topics such as kinetic equations, local equilibrium and two-fluid hydrodynamics are introduced at an elementary level. Explicit predictions are worked out and linked to experiments. Providing a platform for future experimental and theoretical studies on the finite temperature dynamics of trapped Bose gases, this book is ideal for researchers and graduate students in ultracold atom physics, atomic, molecular and optical physics and condensed matter physics.

Many-Body Physics with Ultracold Gases

Author : Christophe Salomon
Publisher : Oxford University Press (UK)
ISBN 13 : 019966188X
Total Pages : 374 pages
Book Rating : 4.1/5 (996 download)

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Book Synopsis Many-Body Physics with Ultracold Gases by : Christophe Salomon

Download or read book Many-Body Physics with Ultracold Gases written by Christophe Salomon and published by Oxford University Press (UK). This book was released on 2013 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides authoritative tutorials on the most recent achievements in the field of quantum gases at the interface between atomic physics and quantum optics, condensed matter physics, nuclear and high-energy physics, non-linear physics, and quantum information.

Simulation of Single and Many Particle Gauge Theories with Ultracold Atomic Gases

Author : Matthew James Edmonds
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (16 download)

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Book Synopsis Simulation of Single and Many Particle Gauge Theories with Ultracold Atomic Gases by : Matthew James Edmonds

Download or read book Simulation of Single and Many Particle Gauge Theories with Ultracold Atomic Gases written by Matthew James Edmonds and published by . This book was released on 2013 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Manipulating Quantum Systems

Author : National Academies of Sciences, Engineering, and Medicine
Publisher : National Academies Press
ISBN 13 : 0309499542
Total Pages : 315 pages
Book Rating : 4.3/5 (94 download)

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Book Synopsis Manipulating Quantum Systems by : National Academies of Sciences, Engineering, and Medicine

Download or read book Manipulating Quantum Systems written by National Academies of Sciences, Engineering, and Medicine and published by National Academies Press. This book was released on 2020-09-14 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: The field of atomic, molecular, and optical (AMO) science underpins many technologies and continues to progress at an exciting pace for both scientific discoveries and technological innovations. AMO physics studies the fundamental building blocks of functioning matter to help advance the understanding of the universe. It is a foundational discipline within the physical sciences, relating to atoms and their constituents, to molecules, and to light at the quantum level. AMO physics combines fundamental research with practical application, coupling fundamental scientific discovery to rapidly evolving technological advances, innovation and commercialization. Due to the wide-reaching intellectual, societal, and economical impact of AMO, it is important to review recent advances and future opportunities in AMO physics. Manipulating Quantum Systems: An Assessment of Atomic, Molecular, and Optical Physics in the United States assesses opportunities in AMO science and technology over the coming decade. Key topics in this report include tools made of light; emerging phenomena from few- to many-body systems; the foundations of quantum information science and technologies; quantum dynamics in the time and frequency domains; precision and the nature of the universe, and the broader impact of AMO science.