In recent years, there has been much synergy between the exciting areas of quantum information science and ultracold atoms. This volume, as part of the proceedings for the XCI session of Les Houches School of Physics (held for the first time outside Europe in Singapore) brings together experts in both fields. The theme of the school focused on two principal topics: quantum information science and ultracold atomic physics. The topics range from Bose Einstein Condensates to Degenerate Fermi Gases to fundamental concepts in Quantum Information Sciences, including some special topics on Quantum Hall Effects, Quantum Phase Transition, Interactions in Quantum Fluids, Disorder and Interference Phenomenoma, Trapped Ions and Atoms, and Quantum Optical Devices.
Arvustused
The book is very well presented and the contents are indeed of a very high quality. * Contemporary Physics *
|
|
|
xxv | |
|
1 Basics on Bose--Einstein condensation |
|
|
1 | (65) |
|
|
|
2 | (1) |
|
1.2 Ideal Bose--Einstein condensates |
|
|
3 | (12) |
|
|
|
15 | (24) |
|
1.4 Beyond mean-field theory |
|
|
39 | (12) |
|
|
|
51 | (9) |
|
|
|
60 | (2) |
|
|
|
62 | (1) |
|
|
|
62 | (4) |
|
|
|
66 | (39) |
|
|
|
67 | (2) |
|
|
|
69 | (15) |
|
2.3 Two-component Fermi gas |
|
|
84 | (17) |
|
Appendix A The renormalization procedure |
|
|
100 | (1) |
|
|
|
101 | (1) |
|
|
|
101 | (1) |
|
|
|
102 | (3) |
|
3 Quantum information: primitive notions and quantum correlations |
|
|
105 | (73) |
|
|
|
106 | (14) |
|
3.2 Primitives of quantum information (I) |
|
|
120 | (11) |
|
3.3 Primitives of quantum information (II) |
|
|
131 | (12) |
|
3.4 Quantum correlations (I): the failure of alternative descriptions |
|
|
143 | (13) |
|
3.5 Quantum correlations (II): the mathematics of no-signalling |
|
|
156 | (9) |
|
3.6 Quantum correlations (III): the power of Bell |
|
|
165 | (5) |
|
|
|
170 | (3) |
|
|
|
173 | (5) |
|
4 Quantum computing and entanglement |
|
|
178 | (40) |
|
|
|
179 | (2) |
|
|
|
181 | (2) |
|
|
|
183 | (7) |
|
4.4 Quantum error correction |
|
|
190 | (5) |
|
4.5 Entanglement: introduction and basic definitions |
|
|
195 | (8) |
|
4.6 Entanglement and quantum algorithms |
|
|
203 | (6) |
|
4.7 One-way quantum computing |
|
|
209 | (7) |
|
|
|
216 | (1) |
|
|
|
216 | (2) |
|
5 Quantum computation with trapped ions and atoms |
|
|
218 | (35) |
|
|
|
219 | (1) |
|
5.1 Ion (and atom) quantum logic |
|
|
219 | (15) |
|
|
|
234 | (2) |
|
|
|
236 | (5) |
|
|
|
241 | (1) |
|
|
|
241 | (12) |
|
|
|
253 | (103) |
|
|
|
254 | (1) |
|
|
|
255 | (12) |
|
|
|
267 | (20) |
|
6.3 Integer quantum Hall effect |
|
|
287 | (18) |
|
6.4 Strong correlations and the fractional quantum Hall effect |
|
|
305 | (22) |
|
6.5 Brief overview of multicomponent quantum Hall systems |
|
|
327 | (20) |
|
Appendix A Electronic band structure of graphene |
|
|
341 | (4) |
|
Appendix B Landau levels of massive Dirac particles |
|
|
345 | (2) |
|
|
|
347 | (5) |
|
|
|
352 | (4) |
|
7 Quantum phase transitions |
|
|
356 | (39) |
|
|
|
357 | (5) |
|
|
|
362 | (7) |
|
|
|
369 | (21) |
|
|
|
390 | (1) |
|
7.5 Appendix: The Jordan--Wigner transformation |
|
|
390 | (3) |
|
|
|
393 | (2) |
|
8 Interactions in quantum fluids |
|
|
395 | (46) |
|
|
|
396 | (1) |
|
|
|
397 | (16) |
|
|
|
413 | (13) |
|
8.4 One-dimensional systems |
|
|
426 | (12) |
|
|
|
438 | (1) |
|
|
|
439 | (1) |
|
|
|
439 | (2) |
|
9 Disorder and interference: localization phenomena |
|
|
441 | (93) |
|
|
|
442 | (4) |
|
9.2 Transfer-matrix description of transport and Anderson localization in 1D systems |
|
|
446 | (10) |
|
9.3 Scaling theory of localization |
|
|
456 | (9) |
|
9.4 Key numerical and experimental results |
|
|
465 | (15) |
|
9.5 Microscopic description of quantum transport |
|
|
480 | (15) |
|
9.6 Coherent backscattering (CBS) |
|
|
495 | (14) |
|
9.7 Weak localization (WL) |
|
|
509 | (8) |
|
|
|
517 | (9) |
|
|
|
526 | (1) |
|
|
|
527 | (7) |
|
10 Quantum information processing and quantum optics devices |
|
|
534 | |
|
10.1 Basic field quantization-- the foundations |
|
|
535 | (20) |
|
10.2 A silly question: what is a photon? |
|
|
555 | (34) |
|
10.3 Parametric-down conversion: a common workhouse |
|
|
589 | (16) |
|
10.4 Quantum information with photons |
|
|
605 | (23) |
|
|
|
628 | (1) |
|
|
|
628 | |
Professor Christian Miniatura, Centre for Quantum Technologies and Department of Physics, National University of Singapore.
Professor Leong-Chuan Kwek, Centre for Quantum Technologies and Department of Physics, National University of Singapore.
Professor Martial Ducloy, Directeur de Recherche Classe Exceptionelle, CNRS, France.
Professor Benoît Grémaud, Laboratoire Kastler Brossel, ENS, Paris, France.
Professor Berthold-Georg Englert, Centre for Quantum Technologies and Department of Physics, National University of Singapore.
Professor Leticia Cugliandolo, Université Pierre et Marie Curie, Paris VI, France.
Professor Artur Ekert, Mathematical Institute, University of Oxford.
Professor Kok Khoo Phua, Institute of Advanced Studies, Nanyang Technological University.
