Nanophysics specialization



Biophysics specialization



Period: Second        ECTS:  4

Course contents



  • Concepts of classical electrodynamics (L1-L2). Macroscopic Maxwell equations, Dyadic Green’s function, Poynting theorem, Kramers-Kronig relations.
  • Conventional Photonics (L3-L4). Fresnel Coefficients, Total internal reflection, Evanescent waves, Dielectric waveguides and cavities, Group velocity and density of states.
  • Surface Plasmon Polaritons (L5-L6). Optical properties of noble metals, Nonlocal effects, Surface plasmon polaritons waveguides, Light focusing.
  • Localized Plasmon Resonances (L7-L8). Localized Surface Plasmons. Near-field enhancement and cross section. Simple geometries in the quasi-static limit. Quantum emitters. Purcell effect.
  • Current topics on Nanophotonics (L9-L10). Photonic Crystals, Metamaterials, Super-resolution imaging, Plasmonics in 2D materials, Super-planckian radiative heat transfer.


  • Free electromagnetic field quantization (L11-L12). Canonical quantization. Fields, potentials, and transversality. Reciprocal space. Normal variables. Free radiation Hamiltonian. Quantum fields. Fock space.
  • Light fluctuations and coherence (L13-L15). Classical and quantum fluctuations. Quadratures. Coherent states. Squeezed states. Homodyne detection. Classical and quantum coherence. First and second order degree of coherence. Mach-Zehnder and Hanbury Brown-Twiss interferometry.
  • Light-matter interaction (L16-L18). Semiclassical theory. Rabi oscillations. Optical Bloch equations. Linear optical response. Quantization of light in the presence of charges. Spontaneous emission. Jaynes-Cummings model.
  • Open quantum systems and losses (L19-L20). System-bath separation. Density matrix formalism. Markovian approximation. Lindblad master equation.


Bibliography on Nanophotonics:

– L. Novotny and B. Hecht, Principles of Nano-Optics. Cambridge University Press, 2nd edition, 2012.

– J. D. Jackson, Classical Electrodynamics. Wiley, 3rd edition, 1999.

– S. A. Maier, Plasmonics: Fundamentals and Applications. Springer, 1st edition, 2007.

– J. D. Joannopoulos, S. G. Johnson, J. N. Winn, and R. D. Meade, Photonic Crystals: Molding the Flow of Light. Princeton University Press, 2nd edition, 2008.


Bibliography on Quantum Optics:

– G. Grynberg, A. Aspect, and C. Fabre, Introduction to Quantum Optics: From the Semi-classical approach to Quantized Light. Cambridge University Press, 2010.

– R. Loudon, The Quantum Theory of Light. Oxford University Press, 3rd edition, 2000.

– M. O. Scully and M. S. Zubairy, Quantum Optics. Cambridge University Press, 1997.


Lecturer (Nanophotonics):

Antonio Fernández Domínguez

Departamento de Física Teórica de la Materia Condensada, Facultad de Ciencias

Módulo 5, Despacho 510, tfno. 914972769, email:


Lecturer (Quantum Optics):

Johannes Feist

Departamento de Física Teórica de la Materia Condensada, Facultad de Ciencias

Módulo 5, Despacho 506, tfno. 914972662, email:  


Room and Schedule:

Tuesdays and Thursdays, 15:30-17:30 in room 01.14.AU.403.



Homework (5-6 assignments, every 2 weeks): 60%

Final written examination (TBA, 10th-24th April, 15:30-17:30): 30%

Active participation in the classroom: 10%


Office hours

Contact the lecturers to request an appointment (in the lecture room or by email).

More info on the course official guide (Guía docente)