Ultracold atoms in optical lattices: simulating quantum many-body systems
Gespeichert in:
| Beteiligte Personen: | , , |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Oxford [u.a.]
Oxford Univ. Press
2012
|
| Ausgabe: | 1. ed. |
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024894719&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Beschreibung: | Includes bibliographical references. - Hier auch später erschienene, unveränderte Nachdrucke |
| Umfang: | XIV, 479 S. Ill., graph. Darst. |
| ISBN: | 9780199573127 0199573123 |
Internformat
MARC
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| 100 | 1 | |a Lewenstein, Maciej |d 1955- |e Verfasser |0 (DE-588)110962516 |4 aut | |
| 245 | 1 | 0 | |a Ultracold atoms in optical lattices |b simulating quantum many-body systems |c Maciej Lewenstein ; Anna Sanpera and Verònica Ahufinger |
| 250 | |a 1. ed. | ||
| 264 | 1 | |a Oxford [u.a.] |b Oxford Univ. Press |c 2012 | |
| 300 | |a XIV, 479 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Includes bibliographical references. - Hier auch später erschienene, unveränderte Nachdrucke | ||
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| 650 | 0 | 7 | |a Beugungsgitter |0 (DE-588)4122915-0 |2 gnd |9 rswk-swf |
| 653 | |a Optical lattices | ||
| 653 | |a Low temperatures | ||
| 653 | |a Condensed matter | ||
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| 700 | 1 | |a Sanpera Trigueros, Anna |d 1955- |e Verfasser |0 (DE-588)132012170 |4 aut | |
| 700 | 1 | |a Ahufinger, Verònica |e Verfasser |0 (DE-588)1027511708 |4 aut | |
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Datensatz im Suchindex
| DE-BY-TUM_call_number | 0202 PHY 717f 2013 A 6078 |
|---|---|
| DE-BY-TUM_katkey | 1950410 |
| DE-BY-TUM_location | 02 |
| DE-BY-TUM_media_number | 040080034824 |
| _version_ | 1821933377819770881 |
| adam_text | Contents
Abbreviations
xiii
1
Introduction
1
1.1
The third quantum revolution
1
1.2
Cold atoms from a historical perspective
2
1.3
Cold atoms and the challenges of condensed matter physics
5
1.4
Plan of the book
Ц
2
Statistical physics of condensed matter: basic concepts
13
2.1
Classical phase transitions
13
2.2
Bose-Einstein condensation in non-interacting systems
21
2.3
Quantum phase transitions
23
2.4
One-dimensional systems
27
2.5
Two-dimensional systems
32
3
Ultracold gases in optical lattices: basic concepts
36
3.1
Optical potentials
36
3.2
Control of parameters in cold atom systems
38
3.3
Non-interacting particles in periodic lattices: band structure
41
3.4
Bose-Einstein condensates in optical lattices: weak interacting limit
45
3.5
From weakly interacting to strongly correlated regimes
48
4
Quantum simulators of condensed matter
51
4.1
Quantum simulators
51
4.2
Hubbard models
53
4.3
Spin models and quantum magnetism
56
5
Bose-Hubbard models: methods of treatment
60
5.1
Introduction
60
5.2
Weak interactions limit: the Bogoliubov approach
62
5.3
Strong interactions limit: strong coupling expansion
64
5.4
Perturbative mean-field approach
68
5.5
Gutzwiller approach
69
5.6
Exact diagonalization and the Lanczos method
72
5.7
Quantum Monte Carlo: path integral and worm algorithms
75
5.8
Phase-space methods
81
5.9
Analytic one-dimensional methods
84
5.10
Renormalization approaches in one dimension: DMRG and MPS
89
5.11
Renormalization approaches in two dimension: PEPS,
MERA,
and TNS
94
6
Fermi and Fermi-Bose Hubbard models: methods of treatment
98
6.1
Introduction
98
6.2
Fermi Hubbard model and BCS theory
99
χ
Contents
6.3 Balanced BCS-BEC
crossover
101
6.4
Mean-field description of imbalanced BCS-BEC crossover
106
6.5
Fermi Hubbard model and strongly correlated
fermions
109
6.6
Hubbard models and effective Hamiltonians
118
6.7
Fermi-Bose Hubbard models
121
7
Ultracold spinor atomic gases
125
7.1
Introduction
125
7.2
Spinor interactions
126
7.3
Spinor Bose-Einstein condensates: mean-field phases
128
7.4
Spin textures and topological defects
133
7.5
Bosonic spinor gases in optical lattices
137
7.6
Spinor Fermi gases
156
8
Ultracold dipolar gases
165
8.1
Introduction
165
8.2
Properties of
dipole—dipole
interaction
167
8.3
Ultracold dipolar systems
169
8.4
Ultracold trapped dipolar gases
171
8.5
Dipolar gas in a lattice: extended Hubbard models
182
8.6
Dipolar bosons in a 2D optical lattice
187
8.7
Quantum Monte Carlo studies of dipolar gases
196
8.8
Further
dipole
effects
202
9
Disordered ultracold atomic gases
205
9.1
Introduction
205
9.2
Disorder in condensed matter
206
9.3
Realization of disorder in ultracold atomic gases
224
9.4
Disordered Bose-Einstein condensates
228
9.5
Disordered ultracold fermionic systems
246
9.6
Disordered ultracold Bose-Fermi and Bose-Bose mixtures
248
9.7
Spin glasses
251
9.8
Disorder-induced order
258
10
Frustrated ultracold atom systems
264
10.1
Introduction
264
10.2
Quantum antiferromagnets
265
10.3
Physics of frustrated quantum antiferromagnets
270
10.4
Realization of frustrated models with ultracold atoms
282
11
Ultracold atomic gases in artificial gauge fields
293
11.1
Introduction
293
11.2
Ultracold atoms in rapidly rotating microtraps
294
11.3
Gauge symmetry in the lattice
304
11.4
Lattice gases in artificial Abelian gauge fields
310
11.5
Lattice gases in artificial
non-
Abelian gauge fields
314
11.6
Integer quantum Hall effect and emergence of Dirac
fermions
316
11.7
Fractional quantum Hall effect in
non-
Abelian fields
322
Contents xi
11.8 Ultracold
gases and lattice gauge theories
326
11.9
Generation of artificial gauge fields
328
12
Many-body physics from a quantum information perspective
340
12.1
Introduction
340
12.2
Crash course on quantum information
341
12.3
Quantum phase transitions and entanglement
355
12.4
Area laws
363
12.5
The world according to tensor networks
374
13
Quantum information with lattice gases
384
13.1
Introduction
384
13.2
Quantum circuit model in optical lattices
386
13.3
One-way quantum computer with lattice gases
394
13.4
Topological quantum computing in optical lattices
398
13.5
Distributed quantum information
409
14
Detection of quantum systems realized with ultracold atoms
412
14.1
Introduction
412
14.2
Time of flight: first-order correlations
415
14.3
Time of flight and noise correlations: higher-order correlations
417
14.4
Bragg spectroscopy
418
14.5
Optical Bragg diffraction
421
14.6
Single-atom detectors
423
14.7
Quantum polarization spectroscopy
424
15
Perspectives: beyond standard optical lattices
427
15.1
Introduction
427
15.2
Beyond standard optical lattices: new trends
428
15.3
Standard optical lattices: what s new?
432
Bibliography
439
Index
471
|
| any_adam_object | 1 |
| author | Lewenstein, Maciej 1955- Sanpera Trigueros, Anna 1955- Ahufinger, Verònica |
| author_GND | (DE-588)110962516 (DE-588)132012170 (DE-588)1027511708 |
| author_facet | Lewenstein, Maciej 1955- Sanpera Trigueros, Anna 1955- Ahufinger, Verònica |
| author_role | aut aut aut |
| author_sort | Lewenstein, Maciej 1955- |
| author_variant | m l ml t a s ta tas v a va |
| building | Verbundindex |
| bvnumber | BV040037992 |
| classification_rvk | UL 1000 |
| classification_tum | PHY 026f PHY 022f PHY 717f PHY 060f |
| ctrlnum | (OCoLC)795699927 (DE-599)BSZ356504638 |
| dewey-full | 621.381045 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 621 - Applied physics |
| dewey-raw | 621.381045 |
| dewey-search | 621.381045 |
| dewey-sort | 3621.381045 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Physik Elektrotechnik / Elektronik / Nachrichtentechnik |
| edition | 1. ed. |
| format | Book |
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| id | DE-604.BV040037992 |
| illustrated | Illustrated |
| indexdate | 2024-12-20T16:07:49Z |
| institution | BVB |
| isbn | 9780199573127 0199573123 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-024894719 |
| oclc_num | 795699927 |
| open_access_boolean | |
| owner | DE-703 DE-19 DE-BY-UBM DE-11 DE-384 DE-355 DE-BY-UBR DE-91G DE-BY-TUM DE-29T DE-83 |
| owner_facet | DE-703 DE-19 DE-BY-UBM DE-11 DE-384 DE-355 DE-BY-UBR DE-91G DE-BY-TUM DE-29T DE-83 |
| physical | XIV, 479 S. Ill., graph. Darst. |
| publishDate | 2012 |
| publishDateSearch | 2012 |
| publishDateSort | 2012 |
| publisher | Oxford Univ. Press |
| record_format | marc |
| spellingShingle | Lewenstein, Maciej 1955- Sanpera Trigueros, Anna 1955- Ahufinger, Verònica Ultracold atoms in optical lattices simulating quantum many-body systems Quantencomputer (DE-588)4533372-5 gnd Teilchenfalle (DE-588)4349942-9 gnd Ultrakaltes Atom (DE-588)4820466-3 gnd Beugungsgitter (DE-588)4122915-0 gnd |
| subject_GND | (DE-588)4533372-5 (DE-588)4349942-9 (DE-588)4820466-3 (DE-588)4122915-0 |
| title | Ultracold atoms in optical lattices simulating quantum many-body systems |
| title_auth | Ultracold atoms in optical lattices simulating quantum many-body systems |
| title_exact_search | Ultracold atoms in optical lattices simulating quantum many-body systems |
| title_full | Ultracold atoms in optical lattices simulating quantum many-body systems Maciej Lewenstein ; Anna Sanpera and Verònica Ahufinger |
| title_fullStr | Ultracold atoms in optical lattices simulating quantum many-body systems Maciej Lewenstein ; Anna Sanpera and Verònica Ahufinger |
| title_full_unstemmed | Ultracold atoms in optical lattices simulating quantum many-body systems Maciej Lewenstein ; Anna Sanpera and Verònica Ahufinger |
| title_short | Ultracold atoms in optical lattices |
| title_sort | ultracold atoms in optical lattices simulating quantum many body systems |
| title_sub | simulating quantum many-body systems |
| topic | Quantencomputer (DE-588)4533372-5 gnd Teilchenfalle (DE-588)4349942-9 gnd Ultrakaltes Atom (DE-588)4820466-3 gnd Beugungsgitter (DE-588)4122915-0 gnd |
| topic_facet | Quantencomputer Teilchenfalle Ultrakaltes Atom Beugungsgitter |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024894719&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT lewensteinmaciej ultracoldatomsinopticallatticessimulatingquantummanybodysystems AT sanperatriguerosanna ultracoldatomsinopticallatticessimulatingquantummanybodysystems AT ahufingerveronica ultracoldatomsinopticallatticessimulatingquantummanybodysystems |
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