Hofstetter

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 #DateTopicScriptSupplementary 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 dateTopic
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

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