PHYS-E0431 - Quantum Many-Body Physics 1 D, Lecture, 7.1.2025-6.6.2025

Please note! Course description is confirmed for two academic years, which means that in general, e.g. Learning outcomes, assessment methods and key content stays unchanged. However, via course syllabus, it is possible to specify or change the course execution in each realization of the course, such as how the contact sessions are organized, assessment methods weighted or materials used.

LEARNING OUTCOMES

After this course, the student knows the basics of many-body quantum physics and is able to apply the related methods and techniques in calculations. The student will also get an overview of some of the most fascinating research topics in modern quantum many-body physics. This course gives an excellent background for taking the Quantum Many-Body Physics 2 course.

Credits: 7

Schedule: 07.01.2025 - 06.06.2025

Teacher in charge (valid for whole curriculum period):

Teacher in charge (applies in this implementation): Jani-Petri Martikainen

Contact information for the course (applies in this implementation):

CEFR level (valid for whole curriculum period):

Language of instruction and studies (applies in this implementation):

Teaching language: English. Languages of study attainment: English

CONTENT, ASSESSMENT AND WORKLOAD

Content

  • valid for whole curriculum period:

    Time-dependent perturbation theory and Fermi's golden rule, interaction of a two-level system with a (quantized) field, 2nd quantization, basics of the many-body formalism and open quantum systems, Bose-Einstein condensation (BEC), quantum phase transitions, basics of Fermi liquid theory, BCS theory of superconductivity, BCS-BEC crossover, basics of topological physics (Chern number, Berry curvature, quantum metric), quantum geometry in condensed matter, flat band superconductivity

Assessment Methods and Criteria

  • valid for whole curriculum period:

    Two mid-term exams or a final exam. Bonus from exercises.

Workload

  • valid for whole curriculum period:

    Lectures 36 hrs (3 hrs/week)

    In-class exercises (mathematical derivation, calculation) 24 hrs (2 hrs/week)

    Independent work (preparation for lectures and revision, in-class exercises) 75 hrs

DETAILS

Study Material

  • valid for whole curriculum period:

    Material announced on the course web page.

Substitutes for Courses
Prerequisites

FURTHER INFORMATION

Further Information

  • valid for whole curriculum period:

    Teaching Language: English

    Teaching Period: 2024-2025 Spring III - IV
    2025-2026 Spring III - IV

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Aalto University Code of Academic Integrity and Handling Violations Thereof