 fundamentals of semiclassical atomlight interaction
 laser radiation and fundamentals of photonics
 coherent phenomena in multilevel atoms
 quantized light fields
 quantum states of light, their properties and their theoretical description
 quantized atomlight interaction: JaynesCummings model and dressed states
 coherence and correlations
 quantum correlations and entanglement
 Bell inequalities and their violation
 (quantum) theory of the laser
 quantum effects in nonlinear optics
Module PHYQTAQPM6
Quantum Technologies (M, 16.0 LP)
Module Identification
Module Number  Module Name  CP (Effort) 

PHYQTAQPM6  Quantum Technologies  16.0 CP (480 h) 
Basedata
CP, Effort  16.0 CP = 480 h 

Position of the semester  2 Sem. from WiSe/SuSe 
Level  [6] Master (General) 
Language  [EN] English 
Module Manager  
Lecturers 
Lecturers of the department Physics

Area of study  [PHYAQP] Advanced Quantum Physics 
Reference course of study  [PHY88.C16SG] M.Sc. Advanced Quantum Physics 
LivecycleState  [NORM] Active 
Notice
At least 8 CP must be completed in the cources [PHYWPFEP261K7] Quantum Optics I+II or [PHYWPFEP288K7] Quantum Technology
Courses
Type/SWS  Course Number  Title  Choice in ModulePart  PresenceTime / SelfStudy  SL  SL is required for exa.  PL  CP  Sem.  

4V  PHYWPFEP261K7  Quantum Optics I+II
 WP  56 h  184 h 
SL1
 ja  PL1  8.0  irreg. 
2V  PHYWPFEP202K7  Quantum Gases I
 WP  28 h  92 h 
SL1
 ja  PL1  4.0  irreg. 
2V  PHYWPFEP275K7  Quantum Gases II
 WP  28 h  92 h 
SL1
 ja  PL1  4.0  irreg. 
2V  PHYWPFEP293K7  Advanced Photonics I
 WP  28 h  92 h 
SL1
 ja  PL1  4.0  irreg. 
2V  PHYWPFEP294K7  Advanced Photonics II
 WP  28 h  92 h 
SL1
 ja  PL1  4.0  irreg. 
2V  PHYWPFEP288K7  Quantum Technology
 WP  28 h  92 h 
SL1
 ja  PL1  4.0  irreg. 
2V  PHYWPFTP172K7  Quantum Information
 WP  28 h  92 h 
SL1
 ja  PL1  4.0  irreg. 
2V  PHYWPFEP295K7  Quantum Information Technology
 WP  28 h  92 h 
SL1
 ja  PL1  4.0  irreg. 
2V  PHYWPFEP201K7  Coherent Optics
 WP  28 h  92 h 
SL1
 ja  PL1  4.0  irreg. 
2V  PHYWPFEP286K7  Magnonics
 WP  28 h  92 h 
SL1
 ja  PL1  4.0  irreg. 
2V  PHYWPFTP343K7  Superconductivity
 WP  28 h  92 h 
SL1
 ja  PL1  4.0  irreg. 
2V  PHYWPFTP291K7  LaserMatterInteraction on ultrashort timescales
 WP  28 h  92 h 
SL1
 ja  PL1  4.0  irreg. 
V+S+L  PHYWPFEP224K7  Intensive Week
 WP  120 h  0 h 
SL1
 ja  PL1  4.0  irreg. 
 About [PHYWPFEP261K7]: Title: "Quantum Optics I+II"; PresenceTime: 56 h; SelfStudy: 184 h
 About [PHYWPFEP261K7]: The study achievement must be obtained. It is a prerequisite for the examination for PL1 .
 About [PHYWPFEP202K7]: Title: "Quantum Gases I"; PresenceTime: 28 h; SelfStudy: 92 h
 About [PHYWPFEP202K7]: The study achievement must be obtained. It is a prerequisite for the examination for PL1 .
 About [PHYWPFEP275K7]: Title: "Quantum Gases II"; PresenceTime: 28 h; SelfStudy: 92 h
 About [PHYWPFEP275K7]: The study achievement must be obtained. It is a prerequisite for the examination for PL1 .
 About [PHYWPFEP293K7]: Title: "Advanced Photonics I"; PresenceTime: 28 h; SelfStudy: 92 h
 About [PHYWPFEP293K7]: The study achievement must be obtained. It is a prerequisite for the examination for PL1 .
 About [PHYWPFEP294K7]: Title: "Advanced Photonics II"; PresenceTime: 28 h; SelfStudy: 92 h
 About [PHYWPFEP294K7]: The study achievement must be obtained. It is a prerequisite for the examination for PL1 .
 About [PHYWPFEP288K7]: Title: "Quantum Technology"; PresenceTime: 28 h; SelfStudy: 92 h
 About [PHYWPFEP288K7]: The study achievement must be obtained. It is a prerequisite for the examination for PL1 .
 About [PHYWPFTP172K7]: Title: "Quantum Information"; PresenceTime: 28 h; SelfStudy: 92 h
 About [PHYWPFTP172K7]: The study achievement must be obtained. It is a prerequisite for the examination for PL1 .
 About [PHYWPFEP295K7]: Title: "Quantum Information Technology"; PresenceTime: 28 h; SelfStudy: 92 h
 About [PHYWPFEP295K7]: The study achievement must be obtained. It is a prerequisite for the examination for PL1 .
 About [PHYWPFEP201K7]: Title: "Coherent Optics"; PresenceTime: 28 h; SelfStudy: 92 h
 About [PHYWPFEP201K7]: The study achievement must be obtained. It is a prerequisite for the examination for PL1 .
 About [PHYWPFEP286K7]: Title: "Magnonics"; PresenceTime: 28 h; SelfStudy: 92 h
 About [PHYWPFEP286K7]: The study achievement must be obtained. It is a prerequisite for the examination for PL1 .
 About [PHYWPFTP343K7]: Title: "Superconductivity"; PresenceTime: 28 h; SelfStudy: 92 h
 About [PHYWPFTP343K7]: The study achievement must be obtained. It is a prerequisite for the examination for PL1 .
 About [PHYWPFTP291K7]: Title: "LaserMatterInteraction on ultrashort timescales"; PresenceTime: 28 h; SelfStudy: 92 h
 About [PHYWPFTP291K7]: The study achievement must be obtained. It is a prerequisite for the examination for PL1 .
 About [PHYWPFEP224K7]: Title: "Intensive Week"; PresenceTime: 120 h;
 About [PHYWPFEP224K7]: The study achievement must be obtained. It is a prerequisite for the examination for PL1 .
Some of the courses take place at irregular intervals. A current overview of the courses offered can be found in the campus management system of the TU Kaiserslautern (https://www.kis.unikl.de).
Study achievement SL1
 Verification of study performance: continuous and active participation in the courses
 Study achievement is a prerequisite for the examination.
Proof of regular and active participation in course, the conditions for the regular and active participation are made public at the beginning of the course
Examination achievement PL1
 Form of examination: oral examination (60 Min.)
 Examination Frequency: irregular (by arrangement)
Evaluation of grades
The grade of the module examination is also the module grade.
In justified exceptional cases, a module examination can consist of partial examinations (submodule examinations). This has to be approved by the chairperson of the examination board. In such cases, the grade of the module examination must be calculated as the arithmetic average of the grades for the individual test performances.
Contents
 Making and probing ultracold quantum gases
 BoseEinstein condensation
 properties of BoseEinstein condensates
 solitons
 vortices
 ultracold Fermi gases
 BECBCS crossover
 Experimental techniques
 laser cooling and trapping
 evaporative cooling
 BoseEinstein condensation
 degenerate Fermi gases
 interaction between ultracold atoms
 GrossPitaevskii equation
 ThomasFermi approximation
 HartreeFock theory
 Bogoliubov theory
 vortices and superfluidity
 LandauKhalatnikov two fluid modell
 spinor gases
 disorder
 Feshbach resonances
 BECBCS crossover
 optical lattices
 BoseHubbard model
 Hubbard model
 lowdimensional quantum gases
 fundamentals of lightmatter interaction
 nonlinear optics
 dispersion relations
 photonic bandstructures
 band structure calculations (planewave method, finitedifferencetimedomain)
 scattering matrix calculations
 photonic crystals, quasicrystals and disordered media
 discrete optics
 topological photonics
 MonteCarloSimulation
 plasmonics: surface and particleplasmonpolaritons
 plasmonic antennas
 photonic metamaterials: negative refractive index
 metasurfaces
 alldielectric metamaterials
 transformation optics

introduction to quantum properties:
 matter waves
 quantum statistics
 entanglement
 matter wave applications and subwavelength microscopy

applications in timekeeping:
 optical clocks
 squeezed states
 superconductivity and superfluidity, and their applications.
 quantum states
 entanglement and its measures
 teleportation
 qubits and diVincenzo criteria
 single qubit gates and realizations
 quantum correlations and twoqubit gates
 quantum computation and simple algorithms
 quantum cryptography and quantum communication
 quantum error correction
 experimental implementations of quantum computation
 quantum repeaters

quantum algorithms:
 Grover’s algorithm
 Shor’s algorithm.
 principles of lasers
 laser resonators
 laser modes
 interference and coherence
 short and ultrashort optical pulses
 overview of nonlinear optics
 wave optics
 Fourier optics and diffraction
 speckles
 holography and holographic interferometry
 coherent Fourieroptical spatial frequency filtering
 broadarea semiconductor lasers
 optical waveguides
 fundamentals of spin waves in confined structures
 basic elements of magnonics
 parametric and nonlinear phenomena
 advanced properties and applications

Phenomenology
 Historical introduction
 critical temperature
 MeissnerOchselfeld effect
 type I and type II superconductor
 thermodynamics of superconductors
 London theory
 flux quanta

GinzburgLandau theory:
 Wave function of superconductivity
 inhomogeneous superconductor
 GinzburgLandau equations
 London penetration depth and coherence length
 critical magnetic fields
 magnetization curve
 interaction between flux quanta
 critical current

BardeenCooperSchriefferTheorie:
 Josephon effects
 Feynman theory
 SQUID
 Cooper problem
 Jellium model of electron gases
 Coulomb interaction
 lattice vibrations
 electronphonon interaction
 BCS ground state
 energy gap
 excited states
 Gorkov derivation of GinzburgLandau theory
combined lecture/seminar and laboratory work on selected topics in quantum optics and quantum technology
Competencies / intended learning achievements
Successful completion of this module will develop the following skills, knowledge and expertise:
 The student will know and understand the fundamental concepts, methods and approaches of quantum optics and optical technologies.
 The student will have acquired a structured and specific knowledge of those subjects in quantum optics and optical technologies which are treated by the particular courses that the student has taken.
 The student will understand the close interaction between theoretical predictions and experiments in (quantum) optics, and the importance of this close interaction for developing technological applications.
 The student will be able to understand and interpret discrepancies between theoretical predictions and experimental results.
 The student will have an overview of current fundamental problems in quantum optics, quantum technologies and optical technologies.
 The student will be aware of how quantum optics theory and optical technologies were developed historically.
 The student will appreciate how the discoveries in quantum optics and the inventions of optical technologies have contributed to the development of the fundamental concepts of modern physics in general.
 The student will be able to apply fundamental scientific methods, such as induction, model construction, and experimental testing, to solve scientific problems and develop new scientific insights, especially in the contexts of quantum optics and optical technologies.
 The student will also be able to apply the essential working strategies and paradigms that are specific to quantum optics and optical technologies, in order to recognize and solve common (quantum) optical problems.
 The student will conversely understand how the specific concepts and strategies of quantum optics relate to the basic principles of physics in general.
Literature
 Gerry, Knight: Introductory Quantum Optics, Cambridge University Press
 Scully, Zubairy: Quantum Optics, Cambridge University Press
 Loudon: The Quantum Theory of Light, Oxford University Press
 CohenTannoudji, DupontRoc, Grynberg: Atom Photon Interactions, Wiley
 Grynberg, Aspect, Fabre, CohenTannoudji: Introduction to Quantum Optics: From the semiclassical approach to Quantized Light, Cambridge University Press
 Metcalf, van der Straten: Laser Cooling and Trapping, Springer
 Pethick, Smith: BoseEinstein Condensation in Dilute Gases, Cambridge University Press
 Salomon, Shlyapnikov, Cugliandolo: ManyBody Physics with Ultracold Gases, Les Houches Lecutre Notes 2010, Oxford University Press
 Zwerger: The BECBCS Crossover and the Unitary Fermi Gas, Springer Lecture Notes 836, Springer
 Pitaevskii and Stringari, BoseEinstein condensation, Clarendon Press
 CohenTannoudji and GueryOdelin, Advances in atomic physics, World Scientific Publishing
 Metcalf, van der Straten: Laser Cooling and Trapping, Springer
 Pethick, Smith: BoseEinstein Condensation in Dilute Gases, Cambridge University Press
 Salomon, Shlyapnikov, Cugliandolo: ManyBody Physics with Ultracold Gases, Les Houches Lecutre Notes 2010, Oxford University Press
 Zwerger: The BECBCS Crossover and the Unitary Fermi Gas, Springer Lecture Notes 836, Springer
 Barenghi, Parker: A Primer on Quantum Fluids, Springer
 Griffin, Nikuni, Zarembar: BoseCondensed Gases at Finite Temperatures, Cambridge University Press
 Lewenstein, Sanpera, Ahufinger: Ultracold Atoms in Optical Lattices: Simulating Quantum ManyBody Systems, Oxford University Press
 Pelster: BoseEinsteinKondensation, Vorlesungsmanuskript 2004
 Pitaevskii, Stringari: BoseEinstein Condensation and Superfluidity, Oxford University Press
 Stoof, Dickerscheid, Gubbels: Ultracold Quantum Fields, Springer
 Ueda: Fundamentals and New Frontiers of BoseEinstein Condensation, World Scientific
 Saleh, Teich: Fundamentals of Photonics, Wiley&Sons
 Maier: Plasmonics: Fundamentals and Applications, Springer
 Saleh, Teich: Fundamentals of Photonics, Wiley&Sons
 Maier: Plasmonics: Fundamentals and Applications, Springer
 Pethick, Smith: BoseEinstein Condensation in Dilute Gases, Cambridge University Press
 Buckel, Kleiner: Superconductivity: Fundamentals and Applications, WileyVCH
 Gerry, Knight: Introductory Quantum Optics, Cambridge University Press
 Bransden, Joachain: Physics of Atoms and Molecules, Prentiss Hall
 Haroche, Raimond: Exploring the Quantum, Oxford University Press
 Tinkham: Introduction to Superconductivity, Dover Publications
 Nielsen, Chuang: Quantum Computation and Quantum Information, Cambridge University Press
 Pethick, Smith: BoseEinstein Condensation in Dilute Gases, Cambridge University Press
 Buckel, Kleiner: Superconductivity: Fundamentals and Applications, WileyVCH
 Gerry, Knight: Introductory Quantum Optics, Cambridge University Press
References will be announced in the course or on the website of the course.
 Hecht: Optics, Pearson
 Meschede: Optics, light and lasers, WileyVCH
References will be announced in the course or on the website of the course.
 Annett: Superconductivity, Superfluids, and Condensates, Oxford University Press
 Bennemann, Ketterson (Eds.): The Physics of Superconductors: Vol. I Conventional and Unconventional Superconductors, Springer
 Bennemann, Ketterson (Eds.): The Physics of Superconductors: Vol. II Novel Superconductors, Springer
 Blundell: Superconductivity  a Very Short Introduction, Oxford
 Kleiner, Buckel: Superconductivity  Fundamentals and Application, Viley VCH
 De Gennes: Superconductivity of Metals and Alloys, Taylor & Francis
 Tinkham: Introduction to Superconductivity, Dover
References will be announced in the course or on the website of the course.
Materials
depending on choice, see respective course description
Registration
depending on choice, see respective course description
Requirements for attendance (informal)
depending on choice, see respective course description
Requirements for attendance (formal)
None
References to Module / Module Number [PHYQTAQPM6]
Course of Study  Section  Choice/Obligation 

[PHY88.C16SG] M.Sc. Advanced Quantum Physics  Quantum Technology  [WP] Compulsory Elective 
Notes on the module handbook of the department Physics
Die offiziellen Modulhandbücher finden Sie unter https://www.physik.unikl.de/studium/modulhandbuecher/ .