# Teaching

# Quantum Magnetism, Spin waves and Light

**Description**

Both magnetic materials and light have always played a predominant role in information technologies, and continue to do so as we move into the realm of quantum technologies. In this course we review the basics of magnetism before embarking in more advanced subjects, which will give us the basics to go over a selection of modern topics of current research. Magnetism is intrinsically quantum mechanical in nature, and magnetic ordering can only be explained by use of quantum theory. We will go over the interactions and the resulting Hamiltonian that governs magnetic phenomena, and discuss its elementary excitations, denominated magnons. After that we will study magneto-optical effects and derive the classical Faraday effect. This will allows us to understand a topic of current research denominated Cavity Optomagnonics. If the time allows, we will study another modern topic which deals with the design of photonic and magnonic crystals at the nanoscale. Basic knowledge of quantum mechanics, electromagnetism, and solid state at the bachelor level will be assumed.

**Recommended Literature**

- N. W. Ashcroft and N. Mermin: Solid state Physics (Cengage Learning, 1976)
- A. Auerbach: Interacting Electrons and Quantum Magnetism (Springer-Verlag, 1994)
- C. Cohen-Tannoudji, J. Dupont-Roc, and G. Grynberg: Photons and Atoms: Introduction to Quantum Electrodynamics (John Wiley & Sons, 1st edition, 1997)
- D. J. Griffiths: Introduction To Electrodynamics (Pearson, 4th edition, 2004)
- C. Gerry and P. Knight: Introductory Quantum Optics (Cambridge University Press, 2004)
- J. D. Jackson: Classical Electrodynamics (Wiley, 3rd edition, 1998)
- C. Kittel: Introduction to Solid State Physics (John Wiley and Sons Ltd, 2004)
- P. Meystre and M. Sargent: Elements of Quantum Optics (Springer-Verlag, 4th edition, 2007)
- W. Nolting: Fundamentals of Many-Body Physics: Principles and Methods (Springer-Verlag, 2009)
- W. Nolting and A. Ramakanth: Quantum Theory of Magnetism (Springer-Verlag, 2009)
- D. D. Stancil and A. Prabhakar: Spin Waves: Theory and Applications (Springer US, 2009)

# Quantum Magnetism, Spin waves and Light

**Description**

Both magnetic materials and light have always played a predominant role in information technologies, and continue to do so as we move into the realm of quantum technologies. In this course we review the basics of magnetism before embarking in more advanced subjects, which will give us the basics to go over a selection of modern topics of current research. Magnetism is intrinsically quantum mechanical in nature, and magnetic ordering can only be explained by use of quantum theory. We will go over the interactions and the resulting Hamiltonian that governs magnetic phenomena, and discuss its elementary excitations, denominated magnons. After that we will study magneto-optical effects and derive the classical Faraday effect. This will allows us to understand a topic of current research denominated Cavity Optomagnonics. If the time allows, we will study another modern topic which deals with the design of photonic and magnonic crystals at the nanoscale. Basic knowledge of quantum mechanics, electromagnetism, and solid state at the bachelor level will be assumed.

**Recommended Literature**

- N. W. Ashcroft and N. Mermin: Solid state Physics (Cengage Learning, 1976)
- A. Auerbach: Interacting Electrons and Quantum Magnetism (Springer-Verlag, 1994)
- C. Cohen-Tannoudji, J. Dupont-Roc, and G. Grynberg: Photons and Atoms: Introduction to Quantum Electrodynamics (John Wiley & Sons, 1st edition, 1997)
- D. J. Griffiths: Introduction To Electrodynamics (Pearson, 4th edition, 2004)
- C. Gerry and P. Knight: Introductory Quantum Optics (Cambridge University Press, 2004)
- J. D. Jackson: Classical Electrodynamics (Wiley, 3rd edition, 1998)
- C. Kittel: Introduction to Solid State Physics (John Wiley and Sons Ltd, 2004)
- P. Meystre and M. Sargent: Elements of Quantum Optics (Springer-Verlag, 4th edition, 2007)
- W. Nolting: Fundamentals of Many-Body Physics: Principles and Methods (Springer-Verlag, 2009)
- W. Nolting and A. Ramakanth: Quantum Theory of Magnetism (Springer-Verlag, 2009)
- D. D. Stancil and A. Prabhakar: Spin Waves: Theory and Applications (Springer US, 2009)

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