Quantum gas experiments : exploring many-body states / Päivi Törmä, Klaus Sengstock, editors.

Format:

Book

Contributor:

Törmä, Päivi, editor.

Sengstock, Klaus, editor.

Series:

Cold atoms ; Volume 1.

Cold Atoms, 2045-9734 ; Volume 1

Language:

English

Subjects (All):

Quantum theory--Data processing.

Quantum theory.

Physics--Philosophy.

Physics.

Physical Description:

1 online resource (339 p.)

Distribution:

Singapore : World Scientific Publishing Co. Pte. Ltd., [date of distribution not identified]

Place of Publication:

London, England : Imperial College Press, 2015.

Language Note:

English

Summary:

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 compr

Contents:

Contents; 1. Introduction; Acknowledgements; 2. Making an Ultracold Gas; 2.1. Introduction: Quantum Gases Must be Dilute and Ultracold; 2.2. Atomic Structure and Response to Static Fields; 2.2.1. Ground State Structure of Quantum Gases; 2.2.2. The Zeeman Effect; 2.2.3. Electric Fields and the Stark Effect; 2.3. Atoms in Oscillating Fields; 2.3.1. The Rotating Wave Approximation; 2.3.2. The Optical Dipole Potential; 2.3.3. Spontaneous Emission and Near-Resonant Scattering; 2.3.4. Optical Cross Section; 2.4. Atom-Atom Interactions; 2.4.1. Short-Range Interactions; 2.4.2. Long-Range Interactions

2.5. Creating a Quantum Gas2.5.1. Laser Cooling; 2.5.2. Magnetic Trapping; 2.5.3. Evaporative Cooling and Sympathetic Cooling; 2.5.4. Optical Trapping; 2.5.5. Imaging; 2.6. Conclusion: Many-Body State Preparation and Probing; Acknowledgements; References; 3. Quantum Gases in Optical Lattices; 3.1. Introduction; 3.2. Basic Description of Ultracold Gases Trapped in Optical Lattices; 3.2.1. Optical Lattice Potentials; 3.2.2. A Single Particle in a Periodic Potential; 3.2.3. Derivation of Lattice Models; 3.3. Superfluid to Mott-Insulator Transition; 3.3.1. Fermi-Hubbard Model

3.3.2. The Influence of the Trap3.3.3. Non-Equilibrium Aspects; 3.4. Theoretical Tools; 3.4.1. Exact Diagonalization; 3.4.2. Matrix Product States and the Density Matrix Renormalization Group Methods; 3.4.3. Quantum Monte Carlo Methods; 3.4.4. Dynamical Mean Field Theory; 3.5. Perspectives; References; 4. Feshbach Resonances in Ultracold Gases; 4.1. Introduction; 4.2. Atom-Atom Interactions; 4.3. Coupled-Channels Equation; 4.4. Feshbach Resonances; 4.5. Ultracold Limit; 4.5.1. Potential Resonance; 4.5.2. Feshbach Resonance with Non-Resonant Open-Channel Interactions

4.5.3. Feshbach Resonance Including Resonant Open-Channel Interactions4.6. Conclusions; References; 5. Specific Optical Lattices; 5.1. Generating Optical Potentials: The Optical Dipole Force; 5.2. Triangular and Hexagonal Lattices; 5.2.1. Triangular Optical Lattice; 5.2.2. Hexagonal Optical Lattice; 5.3. Lattices Comprised of Several Independent Sub-Lattices; 5.3.1. Kagome Lattice; 5.3.2. Lattice Transformations with Perpendicular Basis Vectors; References; 6. In Situ Imaging of Atomic Quantum Gases; 6.1. Introduction; 6.2. Experimental Setup; 6.2.1. Preparation of a 2D Sample

6.2.2. Imaging System6.2.3. Optimization of In Situ Imaging; 6.2.4. Aberrations and Modulation Transfer Function M(k); 6.3. Physical Observables from In Situ Images; 6.3.1. Extraction and Calibration of Atomic Density; 6.3.2. Local Density Approximation and Equation of State; 6.3.3. Local Density Fluctuations; 6.3.4. Density-Density Correlation Function and Static Structure Factor; 6.4. Summary and Outlook; References; 7. Fluorescence Imaging of Quantum Gases; 7.1. Introduction; 7.2. Experimental Realization; 7.2.1. High-Resolution Imaging System; 7.2.2. Fluorescence Imaging

7.2.3. Parity Projection

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

Description based on print version record.

ISBN:

1-78326-476-4