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 #DateTopic Preliminary Script Complete Script and papers
1 13.10.2015 Quantization of the electromagnetic field  

chapter 1

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

lecture 3-4a

lecture 3-4b

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

lecture 7-8a

lecture 7-8b

Hanbury-Brown and Twiss ExperimentHong-Ou-Mandel interferometerinterference of two BECsbunching vs antibunching in ultracold atomsphoton antibunchingquantum statistics
9-10 10.11.2015 Representations of the electromagnetic field: Q-, P- and Wigner function lecture 9-10

chapter 3

Bosonic collapse/revival and the Q-function

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

lecture 17-18a

lecture 17-18b

Einstein-Podolsky-Rosen paradox and Bell inequalitylong-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

lecture 26-27

 
28-29 02.02.2016 Master equation versus numerical renormalization group   Dissipative dynamics of 2 spins2-level system in an atomic quantum dot
30-31 09.02.2016 Trapped ion quantum computation
lecture 30-31 Quantum measurement and decoherenceQuantum non-demolition measurement
chapter 6

 



Exercises

Tutorial #DateTopicPoints
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

  

AuthorTitlePublisher
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