Hofstetter
- QMTG
- Members
- Research
- Publications
- Theses/ Abschlussarbeiten
- Themen für Bachelor- und Masterarbeiten
- Teaching
- Quanteninformation und Ultrakalte Atome SS24
- Stat. Mech. WS23/24
- Quanteninformation und Ultrakalte Atome SS23
- Theoretical Quantum Optics WS22/23
- Klassische Elektrodynamik WS21/22
- Quanteninformation / Ultrakalte AtomeSS21
- Theoretical Quantum Optics WS20/21
- Quanteninformation / Ultrakalte AtomeSS20
- Theoretische Elektrodynamik WS19/20
- Quantenmechanik SS19
- Theoretical Quantum Optics WS18/19
- Theo. Phys. 2 SS18
- Theo. Phys. 1 WS17/18
- Quanteninformation / Ultrakalte Atome SS17
- Stat. Mech. WS16/17
- QM SS16
- Theoretical Quantum Optics WS15/16
- Comp. Phys. SS15
- Ultrakalte Quantengase SS14
- Comp. Phys. WS13/14
- Quantenmechanik SS13
- Stat. Mech. WS12/13
- Comp. Phys. WS12/13
- Quantenmechanik SS12
- Theoretische Elektrodynamik WS11/12
- Ultrakalte Quantengase SS 11
- Theoretical Quantum Optics SS10
- Stat. Mech. WS09/10
- QM II SS09
- Elektrodynamik WS08/09
- QM SS08
- Elektrodynamik WS07/08
- Ultrakalte Atome SS07
- Stat. Mech. WS06/07
- Group Seminar
- Condensed Matter Theory Seminar
- Forschungsgruppe 2414
- Schwerpunktsprogramm GiRyd SPP 1929
- SFB/TR 49
- Forschungsgruppe 801
- Conferences and Workshops
- News
- How to find us
Theoretical Quantum Optics WS15/16
Lecturer: Prof. Dr. Walter Hofstetter
Course Information
- The evaluation of the lecture will take place on Tuesday 15.12. at 11:30.
- The first exam (Modulprüfung) will take place on Thursday, February 25, 2016, from 10:00 AM to 11:30 AM, in the room Physik 01.114.
- The repeat exam (Wiederholungs-Modulprüfung) will take place on Tuesday, March 22, 2016, from 10:00 AM to 11:30 AM, in the room Physik 01.101.
- The course will start on Oct 13, 2015.
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-process
- Decoherence and theory of measurement
- Handling quantum information with quantum optical systems
- Cavity QED
- Theory of lasers
- Light forces
- Ultracold atomic gases
Dates and Location
Dates: | Tuesdays and Thursdays, 10:00 - 12:00 |
---|---|
Location: | Phys. 01.114 |
Lecture Notes
Lecture # | Date | Topic | Preliminary Script | Complete Script and papers |
---|---|---|---|---|
1 | 13.10.2015 | Quantization of the electromagnetic field |
Nobel prize 2012: controlled quantum systems of atoms and light
|
|
2 | 15.10.2015 | Thermal and coherent states | lecture 2 | single-photon device |
3-4 | 20.10.2015 | Squeezed states, classical vs. quantum coherence | chapter 2 |
|
5-6 | 27.10.2015 | Quantum coherence, photon bunching | lecture 5-6 | |
7-8 | 03.11.2015 | Beam splitters, Mach-Zehnder interferometer, P-representation of the electromagnetic field | Hanbury-Brown and Twiss Experiment, Hong-Ou-Mandel interferometer, interference of two BECs, bunching vs antibunching in ultracold atoms, photon antibunching, quantum statistics | |
9-10 | 10.11.2015 | Representations of the electromagnetic field: Q-, P- and Wigner function | lecture 9-10 | |
11-12 | 17.11.2015 | Atom-field interactions, classical and quantum | lecture 11-12 | chapter 4 |
13-14 | 24.11.2015 | Stimulated emission, Rabi- and Jaynes-Cummings-model, vacuum Rabi oscillations | lecture 13-14 | |
15-16 | 01.12.2015 | Collapse and revival, dressed states, entanglement and von Neumann entropy | lecture 15-16 | Rydberg atoms in cavity QED |
17-18 | 08.12.2015 | Entanglement, von Neumann entropy, generalized measurement, quantum maps for open systems | Einstein-Podolsky-Rosen paradox and Bell inequality, long-distance entangled photons | |
19-20 | 15.12.2015 | Kraus representation, quantum noise for a Qbit, optical Bloch equations | lecture 19-20 | chapter 5 |
21 | 22.12.2015 | Optical Bloch equations, Lindblad master equation | lecture 21 | |
22-23 | 12.01.2016 | Lindblad master equation, damped harmonic oscillator | lecture 22-23 | |
24-25 | 19.01.2016 | Dissipative 2-state system, quantum Brownian motion | lecture 24-25 | |
26-27 | 26.01.2016 | Quantum Brownian motion | ||
28-29 | 02.02.2016 | Master equation versus numerical renormalization group | Dissipative dynamics of 2 spins, 2-level system in an atomic quantum dot | |
30-31 | 09.02.2016 | Trapped ion quantum computation |
lecture 30-31 | Quantum measurement and decoherence, Quantum non-demolition measurement chapter 6 |
Exercises
Tutorial # | Date | Topic | Points |
---|---|---|---|
1 | 13.10.2015 | Displacement operator | set1 points |
2 | 20.10.2015 | Squeeze operator and squeezed coherent state | set2 points |
3 | 27.10.2015 | Casimir effect | set3 points |
4 | 03.11.2015 | Hanbury Brown-Twiss experiment | set4 points |
5 | 10.11.2015 | Beam splitter operator | set5 points |
6 | 17.11.2015 | Homodyne detection | set6 points |
7 | 24.11.2015 | Representation functions | set7 points |
8 | 01.12.2015 | Dressed states and Rabi model | set8 points |
9 | 08.12.2015 | Jaynes-Cummings model | set9 points |
10 | 15.12.2015 | Two-photon Jaynes-Cumming model | set10 points |
11 | 12.01.2016 | Decoherence by phase damping | set11 points |
12 | 19.01.2016 | Superposition of coherent states | set12 points |
13 | 26.01.2016 | Lindblad equation | set13 points |
15.02.2016 | Total points |
total points |
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 |