Lévy statistics and laser cooling: how rare events bring atoms to rest
Laser cooling of atoms provides an ideal case study for the application of Lévy statistics in a privileged situation where the statistical model can be derived from first principles. This book demonstrates how the most efficient laser cooling techniques can be simply and quantitatively understood in...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
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Cambridge
Cambridge University Press
2002
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| Online-Zugang: | BSB01 FHN01 URL des Erstveröffentlichers |
| Zusammenfassung: | Laser cooling of atoms provides an ideal case study for the application of Lévy statistics in a privileged situation where the statistical model can be derived from first principles. This book demonstrates how the most efficient laser cooling techniques can be simply and quantitatively understood in terms of non-ergodic random processes dominated by a few rare events. Lévy statistics are now recognised as the proper tool for analysing many different problems for which standard Gaussian statistics are inadequate. Laser cooling provides a simple example of how Lévy statistics can yield analytic predictions that can be compared to other theoretical approaches and experimental results. The authors of this book are world leaders in the fields of laser cooling and light-atom interactions, and are renowned for their clear presentation. This book will therefore hold much interest for graduate students and researchers in the fields of atomic physics, quantum optics, and statistical physics |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (xiii, 199 pages) |
| ISBN: | 9780511755668 |
| DOI: | 10.1017/CBO9780511755668 |
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| 100 | 1 | |a Bardou, François |d 1967- |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Lévy statistics and laser cooling |b how rare events bring atoms to rest |c François Bardou [and others] |
| 246 | 1 | 3 | |a Lévy Statistics & Laser Cooling |
| 264 | 1 | |a Cambridge |b Cambridge University Press |c 2002 | |
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| 505 | 8 | 0 | |t Laser cooling |t Subrecoil laser cooling |t Subrecoil cooling and Levy statistics |t Subrecoil laser cooling and anomalous random walks |t Standard laser cooling: friction forces and the recoil limit |t Friction forces and cooling |t The recoil limit |t Laser cooling based on inhomogeneous random walks in momentum space |t Physical mechanism |t How to create an inhomogeneous random walk |t Expected cooling properties |t Quantum description of subrecoil laser cooling |t Wave nature of atomic motion |t Difficulties of the standard quantum treatment |t Quantum jump description. The delay function |t Simulation of the atomic momentum stochastic evolution |t Generalization. Stochastic wave functions and random walks in Hilbert space |t From quantum optics to classical random walks |t Fictitious classical particle associated with the quantum random walk |t Simplified jump rate |t Trapping and recycling. Statistical properties |t Trapping and recycling regions |t Models of inhomogeneous random walks |t Friction |t Trapping region |t Recycling region |t Momentum jumps |t Probability distribution of the trapping times |t One-dimensional quadratic jump rate |t Generalization to higher dimensions |t Generalization to a non-quadratic jump rate |t Probability distribution of the recycling times |t Presentation of the problem: first return time in Brownian motion |t The unconfined model in one dimension |t The Doppler model in one dimension |t The confined model: random walk with walls |t Broad distributions and Levy statistics: a brief overview |
| 520 | |a Laser cooling of atoms provides an ideal case study for the application of Lévy statistics in a privileged situation where the statistical model can be derived from first principles. This book demonstrates how the most efficient laser cooling techniques can be simply and quantitatively understood in terms of non-ergodic random processes dominated by a few rare events. Lévy statistics are now recognised as the proper tool for analysing many different problems for which standard Gaussian statistics are inadequate. Laser cooling provides a simple example of how Lévy statistics can yield analytic predictions that can be compared to other theoretical approaches and experimental results. The authors of this book are world leaders in the fields of laser cooling and light-atom interactions, and are renowned for their clear presentation. This book will therefore hold much interest for graduate students and researchers in the fields of atomic physics, quantum optics, and statistical physics | ||
| 650 | 4 | |a Laser manipulation (Nuclear physics) | |
| 650 | 4 | |a Laser cooling | |
| 650 | 4 | |a Atoms / Cooling | |
| 650 | 4 | |a Lévy processes | |
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Datensatz im Suchindex
| _version_ | 1804176890269794304 |
|---|---|
| any_adam_object | |
| author | Bardou, François 1967- |
| author_facet | Bardou, François 1967- |
| author_role | aut |
| author_sort | Bardou, François 1967- |
| author_variant | f b fb |
| building | Verbundindex |
| bvnumber | BV043944855 |
| classification_rvk | UH 5740 UH 5790 UM 5000 |
| collection | ZDB-20-CBO |
| contents | Laser cooling Subrecoil laser cooling Subrecoil cooling and Levy statistics Subrecoil laser cooling and anomalous random walks Standard laser cooling: friction forces and the recoil limit Friction forces and cooling The recoil limit Laser cooling based on inhomogeneous random walks in momentum space Physical mechanism How to create an inhomogeneous random walk Expected cooling properties Quantum description of subrecoil laser cooling Wave nature of atomic motion Difficulties of the standard quantum treatment Quantum jump description. The delay function Simulation of the atomic momentum stochastic evolution Generalization. Stochastic wave functions and random walks in Hilbert space From quantum optics to classical random walks Fictitious classical particle associated with the quantum random walk Simplified jump rate Trapping and recycling. Statistical properties Trapping and recycling regions Models of inhomogeneous random walks Friction Trapping region Recycling region Momentum jumps Probability distribution of the trapping times One-dimensional quadratic jump rate Generalization to higher dimensions Generalization to a non-quadratic jump rate Probability distribution of the recycling times Presentation of the problem: first return time in Brownian motion The unconfined model in one dimension The Doppler model in one dimension The confined model: random walk with walls Broad distributions and Levy statistics: a brief overview |
| ctrlnum | (ZDB-20-CBO)CR9780511755668 (OCoLC)849903224 (DE-599)BVBBV043944855 |
| dewey-full | 539.7 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 539 - Modern physics |
| dewey-raw | 539.7 |
| dewey-search | 539.7 |
| dewey-sort | 3539.7 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| doi_str_mv | 10.1017/CBO9780511755668 |
| format | Electronic eBook |
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| id | DE-604.BV043944855 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:22Z |
| institution | BVB |
| isbn | 9780511755668 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029353826 |
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| owner | DE-12 DE-92 |
| owner_facet | DE-12 DE-92 |
| physical | 1 online resource (xiii, 199 pages) |
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| publishDate | 2002 |
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| publisher | Cambridge University Press |
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| spelling | Bardou, François 1967- Verfasser aut Lévy statistics and laser cooling how rare events bring atoms to rest François Bardou [and others] Lévy Statistics & Laser Cooling Cambridge Cambridge University Press 2002 1 online resource (xiii, 199 pages) txt rdacontent c rdamedia cr rdacarrier Title from publisher's bibliographic system (viewed on 05 Oct 2015) Laser cooling Subrecoil laser cooling Subrecoil cooling and Levy statistics Subrecoil laser cooling and anomalous random walks Standard laser cooling: friction forces and the recoil limit Friction forces and cooling The recoil limit Laser cooling based on inhomogeneous random walks in momentum space Physical mechanism How to create an inhomogeneous random walk Expected cooling properties Quantum description of subrecoil laser cooling Wave nature of atomic motion Difficulties of the standard quantum treatment Quantum jump description. The delay function Simulation of the atomic momentum stochastic evolution Generalization. Stochastic wave functions and random walks in Hilbert space From quantum optics to classical random walks Fictitious classical particle associated with the quantum random walk Simplified jump rate Trapping and recycling. Statistical properties Trapping and recycling regions Models of inhomogeneous random walks Friction Trapping region Recycling region Momentum jumps Probability distribution of the trapping times One-dimensional quadratic jump rate Generalization to higher dimensions Generalization to a non-quadratic jump rate Probability distribution of the recycling times Presentation of the problem: first return time in Brownian motion The unconfined model in one dimension The Doppler model in one dimension The confined model: random walk with walls Broad distributions and Levy statistics: a brief overview Laser cooling of atoms provides an ideal case study for the application of Lévy statistics in a privileged situation where the statistical model can be derived from first principles. This book demonstrates how the most efficient laser cooling techniques can be simply and quantitatively understood in terms of non-ergodic random processes dominated by a few rare events. Lévy statistics are now recognised as the proper tool for analysing many different problems for which standard Gaussian statistics are inadequate. Laser cooling provides a simple example of how Lévy statistics can yield analytic predictions that can be compared to other theoretical approaches and experimental results. The authors of this book are world leaders in the fields of laser cooling and light-atom interactions, and are renowned for their clear presentation. This book will therefore hold much interest for graduate students and researchers in the fields of atomic physics, quantum optics, and statistical physics Laser manipulation (Nuclear physics) Laser cooling Atoms / Cooling Lévy processes Quantenoptik (DE-588)4047990-0 gnd rswk-swf Laserkühlung (DE-588)4297488-4 gnd rswk-swf Laserkühlung (DE-588)4297488-4 s Quantenoptik (DE-588)4047990-0 s 1\p DE-604 Erscheint auch als Druckausgabe 978-0-521-00422-0 Erscheint auch als Druckausgabe 978-0-521-80821-7 https://doi.org/10.1017/CBO9780511755668 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Bardou, François 1967- Lévy statistics and laser cooling how rare events bring atoms to rest Laser cooling Subrecoil laser cooling Subrecoil cooling and Levy statistics Subrecoil laser cooling and anomalous random walks Standard laser cooling: friction forces and the recoil limit Friction forces and cooling The recoil limit Laser cooling based on inhomogeneous random walks in momentum space Physical mechanism How to create an inhomogeneous random walk Expected cooling properties Quantum description of subrecoil laser cooling Wave nature of atomic motion Difficulties of the standard quantum treatment Quantum jump description. The delay function Simulation of the atomic momentum stochastic evolution Generalization. Stochastic wave functions and random walks in Hilbert space From quantum optics to classical random walks Fictitious classical particle associated with the quantum random walk Simplified jump rate Trapping and recycling. Statistical properties Trapping and recycling regions Models of inhomogeneous random walks Friction Trapping region Recycling region Momentum jumps Probability distribution of the trapping times One-dimensional quadratic jump rate Generalization to higher dimensions Generalization to a non-quadratic jump rate Probability distribution of the recycling times Presentation of the problem: first return time in Brownian motion The unconfined model in one dimension The Doppler model in one dimension The confined model: random walk with walls Broad distributions and Levy statistics: a brief overview Laser manipulation (Nuclear physics) Laser cooling Atoms / Cooling Lévy processes Quantenoptik (DE-588)4047990-0 gnd Laserkühlung (DE-588)4297488-4 gnd |
| subject_GND | (DE-588)4047990-0 (DE-588)4297488-4 |
| title | Lévy statistics and laser cooling how rare events bring atoms to rest |
| title_alt | Lévy Statistics & Laser Cooling Laser cooling Subrecoil laser cooling Subrecoil cooling and Levy statistics Subrecoil laser cooling and anomalous random walks Standard laser cooling: friction forces and the recoil limit Friction forces and cooling The recoil limit Laser cooling based on inhomogeneous random walks in momentum space Physical mechanism How to create an inhomogeneous random walk Expected cooling properties Quantum description of subrecoil laser cooling Wave nature of atomic motion Difficulties of the standard quantum treatment Quantum jump description. The delay function Simulation of the atomic momentum stochastic evolution Generalization. Stochastic wave functions and random walks in Hilbert space From quantum optics to classical random walks Fictitious classical particle associated with the quantum random walk Simplified jump rate Trapping and recycling. Statistical properties Trapping and recycling regions Models of inhomogeneous random walks Friction Trapping region Recycling region Momentum jumps Probability distribution of the trapping times One-dimensional quadratic jump rate Generalization to higher dimensions Generalization to a non-quadratic jump rate Probability distribution of the recycling times Presentation of the problem: first return time in Brownian motion The unconfined model in one dimension The Doppler model in one dimension The confined model: random walk with walls Broad distributions and Levy statistics: a brief overview |
| title_auth | Lévy statistics and laser cooling how rare events bring atoms to rest |
| title_exact_search | Lévy statistics and laser cooling how rare events bring atoms to rest |
| title_full | Lévy statistics and laser cooling how rare events bring atoms to rest François Bardou [and others] |
| title_fullStr | Lévy statistics and laser cooling how rare events bring atoms to rest François Bardou [and others] |
| title_full_unstemmed | Lévy statistics and laser cooling how rare events bring atoms to rest François Bardou [and others] |
| title_short | Lévy statistics and laser cooling |
| title_sort | levy statistics and laser cooling how rare events bring atoms to rest |
| title_sub | how rare events bring atoms to rest |
| topic | Laser manipulation (Nuclear physics) Laser cooling Atoms / Cooling Lévy processes Quantenoptik (DE-588)4047990-0 gnd Laserkühlung (DE-588)4297488-4 gnd |
| topic_facet | Laser manipulation (Nuclear physics) Laser cooling Atoms / Cooling Lévy processes Quantenoptik Laserkühlung |
| url | https://doi.org/10.1017/CBO9780511755668 |
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