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E-raamat: Physics On Ultracold Quantum Gases

(Univ Of Sci & Tech Of China, China), (Renmin Univ Of China, China), (Univ Of Sci & Tech Of China, China)
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Physics On Ultracold Quantum GasesSuurem pilt
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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.

Preface v
Chapter 1 Introduction
1(8)
References
7(2)
Part I Toward Strongly Correlated Systems
9(94)
Chapter 2 Atomic Structure
11(10)
2.1 Electronic levels of alkali-metal atoms
11(2)
2.2 Fine structure
13(1)
2.3 Hyperfine structure
14(2)
2.4 Zeeman effect
16(5)
Chapter 3 Atom-Light Interaction
21(22)
3.1 Atom-light interaction Hamiltonian
21(4)
3.2 Spontaneous emission
25(4)
3.3 Stimulated absorption and emission
29(5)
3.4 The optical Bloch equations
34(3)
3.5 Light forces on atoms
37(4)
References
41(2)
Chapter 4 Laser Cooling and Trapping
43(22)
4.1 Beam deceleration
44(3)
4.2 Doppler cooling
47(3)
4.3 Evaporative cooling
50(5)
4.4 Magnetic trapping
55(4)
4.5 Optical trapping
59(3)
References
62(3)
Chapter 5 Interaction Between Atoms
65(18)
5.1 Interaction potential between alkali-metal atoms
66(3)
5.2 Two-atom scattering in free space
69(5)
5.3 Effective interaction
74(7)
References
81(2)
Chapter 6 Feshbach Resonance
83(20)
6.1 Basic physics of the Feshbach resonance
84(8)
6.2 Magnetic Feshbach resonance
92(5)
6.3 Optical Feshbach resonance
97(3)
References
100(3)
Part II Ultracold Fermi Gases
103(100)
Chapter 7 Background and Experimental Achievements
105(16)
7.1 Brief introduction to experimental achievements
106(7)
7.2 BCS-BEC crossover
113(4)
7.3 Overview
117(1)
References
118(3)
Chapter 8 BCS-BEC Crossover
121(32)
8.1 Cooper instability
121(2)
8.2 BCS theory
123(7)
8.3 Description of BCS-BEC crossover on the mean-field level
130(6)
8.4 Feshbach resonance and the two-channel model
136(7)
8.5 Narrow Feshbach resonance
143(2)
8.6 BCS-BEC crossover in a harmonic trapping potential
145(6)
References
151(2)
Chapter 9 Beyond-Mean-Field Descriptions
153(20)
9.1 NSR scheme
154(3)
9.2 Path integral and saddle point expansion
157(8)
9.3 Extension of the NSR scheme based on the T-matrix formalism
165(5)
References
170(3)
Chapter 10 Polarized Fermi Gas
173(14)
10.1 Mean-field results
175(5)
10.2 Fulde--Ferrell--Larkin--Ovchinnikov (FFLO) phase
180(2)
10.3 Polarized Fermi gas in a trap
182(2)
References
184(3)
Chapter 11 Synthetic Gauge Field
187(16)
11.1 Implementing synthetic gauge field
187(4)
11.2 Synthetic spin-orbit coupling
191(4)
11.3 Exotic pairing states under spin-orbit coupling
195(6)
References
201(2)
Part III Quantum Simulation with Cold Atoms
203
Chapter 12 Optical Lattice and Band Structure
205(10)
12.1 Construction of optical lattices
206(4)
12.2 Band structure
210(3)
References
213(2)
Chapter 13 Simulation of the Bose-Hubbard Model
215(10)
13.1 Introduction to the Bose-Hubbard model
215(3)
13.2 Simulation of the Bose-Hubbard model in optical lattices
218(5)
References
223(2)
Chapter 14 Dynamical Process
225(16)
14.1 Quench dynamics in the Bose-Hubbard model
225(4)
14.2 Thermalization in an optical lattice
229(10)
References
239(2)
Chapter 15 Disordered Systems
241(12)
15.1 Disorder in free space
242(2)
15.2 Disorder in an optical lattice
244(6)
References
250(3)
Chapter 16 Simulation of Spin Systems
253
16.1 General phases of spin systems
253(11)
16.2 Simulate spin systems in an optical lattice
264(10)
References
274
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