Skip to end of metadata
Go to start of metadata

Course Description

LecturerPaolo Muratore-Ginanneschi (PMG, UH), Jukka Pekola (JP, Aalto), Bayan Karimi (BK, Aalto)
Teaching AssistantBrecht Donvil (UH)
Credits10 (grading info)
LanguageEnglish
Master's Programme Theoretical and Computational Methods  (UH)
Aalto CodePHYS-E0542: sign up here (Aalto students only)
Time span01.09.2020 - 10.12.2020
VenueOn-line course via ZOOM
Web-pageclick here to go to the studies.helsinki.fi server
Moodle pageclick here to reach the course MOODLE space
PresemoLink
Questionnaire Please fill the form linked here
Lecture timetable
  • Mondays 12:15 - 14:00
  • Thursdays 12:15-14:00

Exercise sessionTuesdays 12:15-14:00


The course has its own code also at Aalto and aims at providing basic mathematical and theoretical concepts needed in concrete Quantum Technology applications. The applications in view are those related to concrete experiments performed or ongoing in Aalto laboratories.

Contents

  • Stochastic thermodynamics and thermometry
  • GKSL master equation
  • Quantum trajectories

Requirements

part I Some very basic understanding of probability is needed. Pre-knowledge of elementary quantum mechanics is recommended.

Literature

General reference textbooks for the course are

  1. Breuer, H.-P., Petruccione, F.:  The Theory of Open Quantum Systems , Oxford University Press, 2002.
  2. Wiseman, H. M. & Milburn, G. J. Quantum Measurement and Control Cambridge University Press, 2009.
  3. Jacobs, K. Quantum Measurement Theory and its Applications Cambridge University Press, 2014.


An alternative source for Open Quantum System are the on-line lectures created by Daria Anttila, Guillermo García-Pérez, Matteo Rossi, Boris Sokolov  and based on a previous publication by Guillermo García-Pérez, Matteo A. C. Rossi, Sabrina Maniscalco. The project uses IBM Q Experience platform for simulating open quantum systems.

"Electron Interference", a scientific movie shot in 1976 which tells about the single electron interference experiment (the most beautiful in physics, according to a poll of the Physics World Journal in 2002). This experiment was performed for the first time in 1974.


Presemo

The course as a dedicated presemo room (web space). To access this web space just follow the foregoing link.  Students are encouraged to use the presemo room for any civilized activity pertaining the course. We will also try to use the presemo room during the lectures for checking the student response to multi-answer questions. For this reason, we encourage students to have a mobile device with them when attending classes.

Timetable

More details on lectures' content in the course synopsis.  The Zoom link to the lecture will appear about 15 min before the lecture.

DayTimeZoom linkTopicLecturer
Tue 1.9.202012:15 - 14:00
1 Reminder of classical mechanics concepts (Extra lecture, uses an ES time slot)PMG
Thr 3.9.202012:15 - 14:00
2 Temperature in statistical mechanicsPMG
Mon 7.9.202012:15 - 14:00
3 Classical open system: system in a bath of harmonic oscillators.   (14.09)PMG
Thr 10.9.202012:15 - 12:00
4 Temperature and thermometryJP-BK
Mon 14.9.202012:15 - 12:00
5 Classical master equations     (14.09)PMG
Thr 17.9.202012:15 - 12:00
6 Work and heat in stochastic thermodynamicsPMG
Mon 21.9.202012:15 - 14:00
7 Stochastic thermodynamics with single electronsJP-BK
Thr 24.9.202012:15 - 14:00
8 Review of postulates of QMPMG
Mon 28.9.202012:15 - 14:00
9 State operator and geometry  (05.10)PMG
Tue 29.9.202012:15 - 14:00
10 Thermodynamics of tunnel junctionsJP-BK
Mon 5.10.202012:15 - 14:00
11 Elements of Quantum Probability (05.10)PMG
Thr 8.10.202012:15 - 14:00
12 Boson and fermion oscillatorsPMG
Mon 12.10.202012:15 - 14:00
13 Quantum heat transportJP, BK
Thr 15.10.202012:15 - 14:00
14 Fock space dynamics (21.10)PMG
Mon 26.10.202012:15 - 14:00

15 Hamiltonians of quantum circuits

JP, BK
Tue 27.10.202012:15 - 14:00
16 Open dynamics of a central oscillator (29.10)PMG
Thr 29.10.202012:15 - 14:00

17 Qualitative analysis of unitary time evolution

PMG
Mon 2.11.202012:15 - 14:00
18 Jaynes-Cummings-Gaudin model (05.11)PMG
Thr 5.11.202012:15 - 14:00
19 Completely positive universal dynamical maps (CP-UDM)   (10.11)PMG
Mon 9.11.202012:15 - 14:00
20 LGKS equations for CP-UDM    (10.11)PMG
Thr 12.11.202012:15 - 14:00
21Superconducting quantum circuits, fluctuationsJP, BK
Mon 16.11.202012:15 - 14:00
22 Master equations for dissipative quantum circuitsJP, BK
Thr 19.11.202012:15 - 14:00
23 The Nakajima--Zwanzig projection operator techniquePMG
Mon 23.11.202012:15 - 14:00
24 Microscopic derivation of the LGKS equationPMG
Thr 26.11.202012:15 - 14:00
25 Unraveling of the LGKS equation by Poisson processesPMG
Mon 30.11.202012:15 - 14:00
26 General stochastic Schroedinger equation with jumpsPMG
Thr 3.12.202012:15 - 14:00
27 Quantum trajectories driven by white noisePMG
Mon 7.12.202012:15 - 14:00
28 Photodetection (08.12)PMG
Tue 8.12.202012:15-14:00
29 Fluctuations in electrical circuitsJP, BK
Thr 10.12.202012:15 - 14:00
30 Quantum heat engines and refrigeratorsJP, BK

Exercises

Link to MOODLE space

Exercises for PMG's part will be available on Fridays around 12:00. You have one week to complete the exercises, the deadline is the ensuing Friday at 12:00.
The exercises can be done either in clear handwriting or in latex. Upload a clear picture/scan/pdf of your solutions directly to assignment on the Moodle page.
Remember Tuesdays we have exercise classes where questions can be asked about the exercises.


DayTimeZoom linkLecturer
Exercise Session 01

Tue 8.9.2020

12:15 - 14:00


Donvil
Exercise Session 02Tue 15.9.202012:15 - 14:00
Donvil
Exercise Session 03Tue 22.9.202012:15 - 14:00
Donvil
Exercise Session 05Tue 6.10.202011:45 - 13:30
Donvil
Exercise Session 06Tue 13.10.202012:15 - 14:00
Donvil
Exercise Session 07Tue 27.10.202012:15 - 14:00
Donvil
Exercise Session 08Tue 3.11.202012:15 - 14:00
Donvil
Exercise Session 09Tue 10.11.202012:15 - 14:00
Donvil
Exercise Session 10Tue 17.11.202012:15 - 14:00
Donvil
Exercise Session 11Tue 24.11.202012:15 - 14:00
Donvil
Exercise Session 12Tue 1.12.202012:15 - 14:00
Donvil
Exercise Session 13Tue 8.12.202012:15 - 14:00
JP,BK
  • No labels