Many-body physics with ultracold gases / edited by Christophe Salomon, Georgy V. Shlyapnikov and Leticia F. Cugliandolo.

Format:

Book

Conference/Event

Contributor:

Salomon, C. (Christophe)

Shlyapnikov, Georgy V.

Cugliandolo, L. F. (Leticia F.)

Conference Name:

Ecole d'ete de physique theorique (Les Houches, Haute-Savoie, France) (94th : 2010)

Series:

Lecture Notes of the les Houches Summer School Ser.

Lecture Notes of the les Houches Summer School Ser. ; v.94

Language:

English

Subjects (All):

Cold gases--Congresses.

Cold gases.

Nuclear physics--Congresses.

Nuclear physics.

Condensed matter--Congresses.

Condensed matter.

Physical Description:

1 v. : ill.

Edition:

1st ed.

Place of Publication:

Oxford : Oxford University Press, 2013.

Summary:

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.

Contents:

Cover

Contents

List of participants

1 Strongly correlated bosons and fermions in optical lattices

1.1 Introduction

1.2 Optical lattices

1.3 The Bose-Hubbard model and the superfluid to Mott insulator transition

1.4 One-dimensional bosons and bosonization

1.5 From free fermions to Fermi liquids

1.6 Mott transition of fermions: three dimensions

1.7 One-dimensional fermions

1.8 Conclusion

Acknowledgements

References

2 Ultracold atoms in optical lattices

2.1 Overview

2.2 Introduction

2.3 Basics of optical lattices

2.4 Detection methods

2.5 Bose- and Fermi-Hubbard models

2.6 Quantum magnetism with ultracold atoms in optical lattices

2.7 Single-site and single-atom resolved imaging of quantum gases in optical lattices

3 The few-atom problem

3.1 Overview

3.2 The two-body problem and resonance width

3.3 Basics of the three-body problem with short-range interactions

3.4 The method of Skorniakov and Ter-Martirosian (STM) for few-body problems with resonant short-range interactions

3.5 Final remarks

4 Entanglement in many-body quantum systems

4.1 Introduction

4.2 Entanglement in many-body systems: pure states

4.3 Entanglement in many-body systems: mixed states

4.4 Entanglement and area laws

4.5 Tensor network states

4.6 Conclusions

5 Quantum Hall states of ultracold atomic gases

5.1 Introduction

5.2 Rapid rotation

5.3 Optically induced gauge fields

5.4 Bose gases

5.5 Fermi gases

5.6 Summary

6 Theory of dipolar gases

6.1 The dipole-dipole interaction

6.2 Dipolar Bose-Einstein condensates

6.3 Dipolar gases in optical lattices

6.4 Conclusions

7 Ultracold polar molecules

7.1 Motivation and challenges.

7.2 Making ultracold polar molecules

7.3 Characterizing the ultracold polar molecules

7.4 Ultracold chemistry, dipolar interactions, and reduced dimensionality

8 Ultracold Fermi gases as quantum simulators of condensed matter physics

8.1 Introduction

8.2 The non-interacting Fermi gas

8.3 Fermionic super.uidity and the BEC-BCS crossover

8.4 Probing the fermionic superfluid

8.5 Conclusion

9 Competing instabilities in quench experiments with ultracold Fermi gases near a Feshbach resonance

9.1 Overview

9.2 Introduction

9.3 Linear response and collective modes

9.4 Feshbach resonance via pseudo-potentials

9.5 Application to pairing susceptibility

9.6 More on Stoner instability

9.7 Discussion

9.8 Concluding remarks

10 Anderson localization of ultracold atoms in a laser speckle

10.1 Anderson localization for the beginner

10.2 Ultracold atoms in optical speckle: a good candidate for the observation of Anderson localization

10.3 One-dimensional Anderson localization?

10.4 Direct observation of Anderson localized 1D wavefunctions

10.5 What happens beyond the 1D effective mobility edge?

10.6 Towards 2D and 3D experimental studies of AL: a quantum simulator with cold atoms

References.

Notes:

Selected conference papers.

Description based on metadata supplied by the publisher and other sources.

Description based on publisher supplied metadata and other sources.

ISBN:

9781283733076

1283733072

9780191638015

0191638013

9780191748356

0191748358

OCLC:

922971457