ECTS credits ECTS credits: 3
ECTS Hours Rules/Memories Hours of tutorials: 3 Expository Class: 15 Interactive Classroom: 10 Total: 28
Use languages Spanish, Galician
Type: Ordinary subject Master’s Degree RD 1393/2007 - 822/2021
Departments: Particle Physics
Areas: Theoretical Physics
Center Faculty of Physics
Call: Second Semester
Teaching: With teaching
Enrolment: Enrollable | 1st year (Yes)
Quantum thermodynamics studies the emergence of thermodynamic laws in quantum systems, particularly in nanoscopic systems. The fundamental tool used is the theory of open quantum systems and the corresponding evolution equations, which allow the study of out-of-equilibrium energy exchanges in small systems, as well as the control of decoherence in quantum information processing systems. In this subject the student will be introduced to these topics, in a way that allows him to follow the most recent advances in the scientific literature in the field.
1. Introduction to open quantum systems. Kraus Operators. Master equations.
2. Markovian systems in thermal baths. Lindblad equation.
3. The principles of modern thermodynamics. Stochastic thermodynamics. Jarzynski's equality and Crooks' fluctuation theorem.
4. Work, heat and entropy production in quantum systems.
5. Quantum thermometry. Quantum thermal machines and Otto cycles. Quantum batteries.
6. Quantum thermodynamics of open systems. Master equations and quantum trajectories. Diffusion of quantum states. Thermodynamics on average: first and second law of thermodynamics.
7. Thermodynamics of quantum information. Landauer dimension. Fluctuation theorems. Kibble-Zurek mechanism.
8. Decoherence-free subspaces.
9. Periodically driven systems. Time crystals.
Basic:
-Class notes.
-H. P. Breuer, F. Petruccione, The theory of open quantum systems, Oxford Univ. Press. 2002.
-P. Strasberg, Quantum stochastic thermodynamics, Oxford Oxford Univ. Press. 2022
Complementary:
-D. Lidar, Lecture notes on the theory of open quantum systems, arXiv: 1902.00967.
-TO. Rivas, S. Huelga, Open quantum systems, Springer 2012.
-G. Kuritzi, A. Kofman, Thermodynamics and control of open quantum systems, Cambridge Univ. Press. 2022.
The students who take this subject will acquire the abilities and competences of critical and creative thinking, communication and collaborative work that are indicated in the degree verification report (HD1, HD2, HD3).
In addition to the basic (CB1-CB5), general (CG1-CG4) and transversal (CT1-CT8) skills that are specified in the degree verification report, students will acquire the following specific skills for this subject
Specific competences:
CE4: Know and be able to apply the physical theories inherent to the understanding of systems for quantum information processing, including quantum thermodynamics as well as advanced aspects of magnetism and quantum mechanics.
CE6: Know and understand the nature of the physical platforms for processing quantum information in photonic systems: quantum optics, integrated optical systems, opto-atomic systems, detection and measurement systems, semiconductor photonics.
Classes will be face-to-face and will be broadcast synchronously to the other campuses
- Expositive classes: in them the programmed contents will be explained and any doubts that may arise will be answered. Exercises and problems will be proposed that students must solve in their own working time.
- Interactive classes: resolution of the proposed exercises and problems, sharing doubts. Students will be given prominence to present their results.
- Tutorials: in them the students will be attended in a personalized way to provide them with guidance and resolve their doubts
- Autonomous work: during this time the study of the subject and the resolution of proposed tasks will be carried out.
There will be a virtual platform where essential and supplementary training and information material will be made accessible.
The evaluation of the subject will be a combination of different aspects. The weighting will be set and announced to the class within the margins approved in the verification report.
1- Continuous evaluation: attendance and participation in expository and interactive classes, delivery of exercises and solved problems, voluntary presentation of results.
Weighting: 60%
2. Extension work
Weighting: 40%
In cases of fraudulent completion of exercises or tests, the following will apply to the provisions of the "Regulations for evaluating students' academic performance and reviewing grades":
"Article 16. Fraudulent performance of exercises or tests.
The fraudulent performance of any exercise or test required in the evaluation of a subject will imply the qualification of failed in the corresponding call, regardless of the disciplinary process that may be followed against the offending student. It is considered fraudulent, among other things, the realization of plagiarized works or obtained from sources accessible to the public without re-elaboration or reinterpretation and without citations to the authors and the sources ”.
Lectures: 15 hours
Interactive classes: 10 hours
Personal work of the students: 47 hours.
Tutorials: 3 hours
Overall: 75 hours
Attendance and participation in class, as well as the resolution of the proposed exercises.
Tutorials may be face-to-face or online and will require a prior appointment.
Alfonso Vázquez Ramallo
Coordinador/a- Department
- Particle Physics
- Area
- Theoretical Physics
- Phone
- 881813990
- alfonso.ramallo [at] usc.es
- Category
- Professor: University Professor
| Thursday | |||
|---|---|---|---|
| 17:00-19:00 | Grupo /CLE_01 | Spanish | Classroom 2 |
| 05.26.2025 10:00-14:00 | Grupo /CLE_01 | Classroom 2 |
| 07.03.2025 10:00-14:00 | Grupo /CLE_01 | Classroom 2 |