Hofstetter
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- Quanteninformation und Ultrakalte Atome SS24
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- Quanteninformation und Ultrakalte Atome SS23
- Theoretical Quantum Optics WS22/23
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- Quanteninformation / Ultrakalte AtomeSS21
- Theoretical Quantum Optics WS20/21
- Quanteninformation / Ultrakalte AtomeSS20
- Theoretische Elektrodynamik WS19/20
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- Theoretical Quantum Optics WS18/19
- Theo. Phys. 2 SS18
- Theo. Phys. 1 WS17/18
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- Stat. Mech. WS16/17
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- Theoretical Quantum Optics WS15/16
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- Theoretical Quantum Optics SS10
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Theoretical Quantum Optics WS18/19
Lecturer: Prof. Dr. Walter Hofstetter
Course Information
- Am 4. März 2019 findet die Klausureinsicht von 14:00 bis 16:00 Uhr in Raum 01.101 statt.
- Eine Liste der Prüfungsergebnisse der Klausur sortiert nach den Matrikelnummern der Prüfungsteilnehmer liegt im Büro 01.137 aus.
- For the participation in the tutorials a registration is necessary. Please join a tutorial group for the course "Theoretical Quantum Optics WS18/19" in the eLearning-Portal at https://elearning.physik.uni-frankfurt.de/goto_FB13-PhysikOnline_crs_20854.html (you can also find the course in Theoretische Physik> Hofstetter> Theoretical Quantum Optics WS18/19).
- The course will start on Oct 16, 2018.
- Die Termine und den Ort der Klausur und Nachklausur finden Sie hier (the dates and the location of the two exams can be found here).
- Bitte beachten Sie, dass man sich zu den schriftlichen Klausuren online anmelden muss, um an den Prüfungen teilzunehmen. Die Information zum Anmeldeschluss finden Sie ebenfalls hier (please note that you have to register online for the written exams in order to take the exams. The information on the registration deadline can also be found here).
Dates and Location
Dates: | Tuesdays and Thursdays, 10:00 - 12:00 |
---|---|
Location: | Phys. 01.114 |
Tutorials
Thursdays, | 08:00 - 09:45, | Phys. 02.116 |
Fridays, | 13:00 - 15:00 | Phys. 01.114 |
Head tutor: Dr. Michael Pasek (Phys. 01.137), Office hours: TBD
Tutors: Dr. Jaromir Panas (Phys. 01.138), Dr. Junhui Zheng (Phys. 01.112).
Topics
- Quantization of electromagnetic fields and properties of coherent states
- Squeezed states
- Phase space representation
- Wigner function
- Quantum mechanics of open systems
- Lindblad and Fokker-Plank equations
- Quantum Markov processes
- Decoherence and theory of measurement
- Quantum information with quantum optical systems
- Cavity QED
- Quantum theory of the laser
- Light forces
- Ultracold atomic gases
Lecture Notes
Lecture # | Date | Topic | Script | Supplementary material |
---|---|---|---|---|
1-2 | 16.10; 18.10 | quantization of the electromagnetic field; thermal and coherent states | lecture 1 lecture 2 |
Nobel prize 2012: controlled quantum systems of atoms and light |
3-4 | 23.10; 25.10 | squeezed states; quantum phase |
lecture 3 lecture 4 |
|
5-6 | 30.10; 01.11 | classical vs. quantum coherence |
lecture 5 lecture 6 |
semiclassical simulation of the double slit experiment |
7-8 | 06.11; 08.11 | photon bunching; beam splitter, Mach-Zehnder interferometer |
lecture 7 lecture 8 |
Hanbury-Brown and Twiss experiment photon anti-bunching Hong-Ou-Mandel interferometer |
9-10 | 13.11; 15.11 | representations of the electromagnetic field: P- and Q-functions |
lecture 9 lecture 10 |
|
11-12 | 20.11; 22.11 | Wigner function; atom driven by classical field, Fermi's golden rule |
lecture 11 lecture 12 |
experiment 1; experiment 2 measurement of Wigner function |
13-14 | 27.11; 29.11 | atom driven by quantum field, spontaneous and stimulated emission; Rabi- and Jaynes-Cummings-model |
lecture 13 lecture 14 |
Could Feynman have said this? |
15-16 | 04.12; 06.12 | vacuum Rabi oscillations; collapse and revival |
lecture 15 lecture 16 |
collapse and revival in ultracold bosons; collapse and revival in microwave cavity QED |
17-18 | 11.12; 13.12 | dressed states; entanglement, von Neumann entropy |
lecture 17 lecture 18 |
Rydberg dressing; collapse and revival of Rydberg-dressed spin system |
19-20 | 18.12; 20.12 | open quantum systems, generalized measurement; Kraus representation, quantum noise for a Qbit |
lecture 19 lecture 20 |
|
21-22 | 15.01; 17.01 | amplitude damping channel, optical Bloch equations |
lecture 21 lecture 22 |
Bloch equations and dissipative light force |
23-24 | 22.01; 24.01 | Lindblad master equation, damped harmonic oscillator; microscopic derivation |
lecture 23 lecture 24 |
|
25-26 | 29.01; 31.01 | dissipative 2-state system |
lecture 25 lecture 26 |
|
27-28 | 05.02; 07.02 | quantum Brownian motion |
lecture 27 |
|
29-30 | 11.02; 14.02 | measurement and decoherence, trapped ion quantum computer |
lecture 29 lecture 30 |
decoherence of a Schrödinger cat state; review on trapped ion quantum computers |
Exercises
Tutorial # | Due date | Topic |
---|---|---|
1 | 23.10.2018 | interaction picture, coherent states and density matrices |
2 | 30.10.2018 | quadrature operators, squeezed states and phase distribution function |
3 | 06.11.2018 | Casimir effect, Poynting vector and squeezed vacuum |
4 | 13.11.2018 | Hanbury-Brown Twiss experiment, second-order coherence |
5 | 20.11.2018 | beam splitter operator, Michelson interferometer |
6 | 27.11.2018 | homodyne detection, multiphoton interference |
7 | 04.12.2018 | Wigner function, quantum state tomography |
8 | 11.12.2018 | Rabi model, three-level atom |
9 | 18.12.2018 | cavity QED; collapse and revival in the Jaynes-Cummings model |
10 | 15.01.2019 | multi-photon JC model; von Neumann entropy |
11 | 22.01.2019 | phase and amplitude damping |
12 | 29.01.2019 | decoherence of coherent states, properties of the Lindblad master equation |
13 | 05.02.2019 | atomic dephasing model, dissipation in a two-level system |
Literature
Author | Title | Publisher |
---|---|---|
M. Scully and M. Zubairy | Quantum Optics | Cambridge, 1997 |
R. Loudon | The Quantum Theory of light | Oxford, 2000 |
S. Haroche and J.-M. Raimond | Exploring the Quantum: Atoms, Cavities and Photons | Oxford, 2006 |
D.F. Walls and G.J. Milburn | Quantum Optics | Springer, 2007 |
G. Agarwal | Quantum Optics | Cambridge University Press, 2013 |
C. Gardiner and P. Zoller | The Quantum World of Ultra-Cold Atoms and Light (Book I and II) | Imperial College Press, 2014 and 2015 |
C.W. Gardiner and P. Zoller | Quantum Noise | Springer, 2004 |