Open Quantum Systems

Course guarantor:

Lecturer:

Tutor:

Supervisor:

Department of Physics

Synopsis:

Abstract:

This course aims to give an overview to concepts and methods in the broad field of open quantum systems and their experimental applications. The course is taught in physics style by choosing the most explicit rather than the most general mathematical setup to illustrate phenomena.

This is a merger of courses TCM334 (weeks 16) and TCM335 (weeks 713) provided by the University of Helsinki, in collaboration with Aalto University, to CTU students in the framework of the DigiQ Digitally Enhanced Quantum Technology Master. To complete the course, students are expected to attend the on-line lectures and exercises (in real time or the recorded version) by the lecturers Paolo Muratore-Ginanneschi, Jukka Pekola and Bayan Karimi.

Requirements:

Syllabus of lectures:

Outline of the course:

1.Reminder of the postulates of quantum mechanics

2.Partial trace operation and dynamical maps

3.Master equations satisfied by quantum dynamical maps

4.Techniques to solve quantum master equations: quantum trajectory methods

5.Temperature and thermometry

6.Stochastic thermodynamics with single electrons

7.Thermodynamics of tunnel junctions

8.Quantum heat transport

9.Hamiltonian in quantum circuit

10.Open quantum systems

11.Fluctuations in electrical circuits: charge and energy noise

12.Applications

Syllabus of tutorials:

Outline of the exercises:

During the exercises we will be reviewing the home work assigned by the remote lecturer.

Study Objective:

Credit for the completion of tasks assigned to exercises and credit assignments.

Study materials:

Key references:

[1] Lecture notes available from https://digicampus.fi/course/view.php?id=5459 (requires free user account)

Recommended references:

[2] Breuer, H.-P. & Petruccione, F.: The Theory of Open Quantum Systems, Oxford University Press, 2002

[3] Wiseman, H. M. & Milburn, G. J.: Quantum Measurement and Control, Cambridge University Press, 2009

[4] Lidar D.A.: Lecture Notes on the Theory of Open Quantum Systems, e-print ArXiv:1902.00967 (2019)

[5] Barchielli, A. & Gregoratti, M.: Quantum Trajectories and Measurements in Continuous Time, Springer Lecture Notes in Physics, 2009

Note:

Further information:

No time-table has been prepared for this course

The course is a part of the following study plans: