Events

01.07.2023 Upcoming SPICE Workshop on Terahertz Spintronics: toward Terahertz Spin-based Devices

The SPICE workshop "Terahertz Spintronics: toward Terahertz Spin-based Devices" will be held from October 10th to 12th, 2023 at the historic WASEM winery, Ingelheim.

The workshop focusses on THz spintronics, which is a novel research field that combines magnetism and spintronic with ultrafast optics. Although ultrafast demagnetization of ferromagnetic materials at picosecond timescale has been first observed already three decades ago, recent years have seen the rapid development of THz spintronic devices stemming from ground breaking studies. In the last years, the numerous improvements made in material research (such as on topological insulators and antiferromagnetic materials), interface quality and device engineering have been central to both explore spin-based physics at THz frequencies and investigate to new concepts of spin based THz devices. These cover the full THz block chain (broad and narrowband THz generation and detection, together with control of radiation properties such as polarization and ellipticity) as well as new approaches for THz imaging and encoding THz information. This workshop will bring together world-leading scientists from a broad range of communities, generating further collaborations and developmentsin this emerging field.

You can apply online for the workshop until August 14th, 2023.

26.04.2023 Upcoming SPICE Workshop on Recent Advances in Non-Equilibrium and Magnetic Phenomena In July

The SPICE workshop "Young Research Leaders Group Workshop: Recent advances in non-equilibrium and magnetic phenomena" will be held from July 25th to 27th, 2023 at the historic WASEM winery, Ingelheim.

The workshop focuses on bringing together young researchers from both magnetism and more broad non-equilibrium topics with theoretical and experimental backgrounds and hopes to build future collaborations to advance these fields. Science benefits from diversity, open communication, and different perspectives, and special care has been taken to make this event inclusive and gender-balanced.

 

26.01.2023 Upcoming SPICE workshop on Altermagnetism in May

The SPICE workshop "Altermagnetism: Emerging Opportunities in a New Magnetic Phase" will be held from June 13th to 15th, 2023 at the historic WASEM winery, Ingelheim.

The workshop focuses on the emerging magnetic material class of altermagnets, that show compensated magnetic ordering and alternating spin-polarization in both the direct and momentum space, with a d-wave (or higher even-parity wave) symmetry. The novel properties of altermagnets have links to many fields of research, such as spintronics, ultra-fast photo-magnetism, neuromorphics, multiferroics, magnonics, topological matter, or superconductivity. The workshop brings together junior and senior scientists from diverse research fields to explore this fascinating newly discovered magnetic phase.

You can apply online for the workshop until April 1st, 2023.

09.01.2023 Upcoming SPICE workshop on Non-equilibrium Quantum Materials Design in June

The SPICE workshop "Non-equilibrium Quantum Materials Design" will be held from June 27th to 29th, 2023 at the historic WASEM winery, Ingelheim.

The goal of the workshop is to bring together experts in quantum materials synthesis with experimentalists and theorists investigating non-equilibrium phenomena to spark a new generation of “non-equilibrium quantum materials design.” This nascent research opportunity builds off of recent discoveries of unique phases and functionalities of quantum matter when driven out-of-equilibrium by optical or electrical stimuli. We hope the workshop will allow us to define short- and long-term goals in the field, and ultimately, establish a community working towards the creation of quantum materials with tailored non-equilibrium responses.

You can apply online for the workshop until April 1st, 2023.

24.11.2022 Upcoming SPICE workshop on Quantum Spinoptics in June

The SPICE workshop "Quantum Spinoptics" will be held from June 13th to 15th, 2023 at the historic WASEM winery, Ingelheim.

The workshop aims at bringing together experts from solid state and quantum optics, with the goal to seed the research area where solid state systems are treated exploiting the knowledge of AMO driven-dissipative platforms, and, vice versa, where quantum optics can exploit concepts from spintronics, magnetism and the physics of correlated materials. Topics include dynamical phase transitions in driven-dissipative ensembles, noise sensing and engineering in light-matter interfaces, quantum optics-inspired pumping schemes applied to condensed matter, and correlated emission and dissipative engineering to build entangled states.

You can apply online for the workshop until April 1st, 2023.

Theoretische Physik 1, Theoretische Mechanik Winter Semester 2020/2021

Please check under https://lms.uni-mainz.de/moodle/login/index.php to obtain notes, announcements, and other handouts for the course.

 

1 2 - 6 Nov. 2020 Introduction, math review, Newton’s laws, and frame of references

Sections: 1.3-1.7, 1.12-1.17, 2.2-2.3

Exercises: 1.5,1.8,1.10,1.15,1.19,1.24,1.26,1.28, 1.36,1.39
2 9 - 13 Nov. 2020 Equation of motion of a particle, Conservation theorems (Noethers theorem), Energy, Limitations of Newton’s mechanics

Sections: 2.4-2.7

Exercises: 2.4, 2.10, 2.13, 2.24, 2.27, 2.34, 2.40, 2.47, 2.52
3 16 - 20 Nov. 2020 Oscillations

Sections: 3.2-3.8 (extended to week 4)

Exercises: 3.4, 3.8, 3.18, 3.21, 3.28, 3.34, 3.38, 3.45
4 23 - 27 Nov. 2020 Nonlinear Oscillations and Chaos

Sections: Ch. 4 (and continuation of Ch. 3)

Exercises: 4.3, 4.10, 4.4, 4.24, 4.5, 4.12, 4.19, 4.21
5 30 Nov. - 4 Dec. 2020 Gravitation

Sections: 5.2-5.5, 6.2

Exercises: 5.4, 5.8, 5.11, 5.14, 5.19, 5.20
6 7 - 11 Dec. 2020 Calculus of Variations and Euler’s equation

Sections: 6.3-6.7

Exercises: 6.2, 6.6, 6.8, 6.11, 6.15, 6.18
7 14 - 18 Dec. 2020 Hamilton’s Principle, Generalized Coordinates, and Lagrangian and Hamiltonian Dynamics

Sections: Ch. 7 (part 1)

Exercises: 7.4, 7.7, 7.11, 7.15
8 4 - 8 Jan. 2021 Hamilton’s Principle, Generalized Coordinates, and Lagrangian and Hamiltonian Dynamics

Sections: Ch. 7 (part 2)

Exercises: 7.19, 7.31, 7.39, more exercises as provided
9 11 - 15 Jan. 2021 Central-Force Motion

Sections: Ch. 8

Exercises: 8.5, 8.10, 8.15, 8.21, 8.29, 8.36, 8.44
10 18 - 22 Jan. 2021 Dynamics of Systems of Particles

Sections: Ch. 9 (part 1)

Exercises: 9.10, 9.14, 9.22, 9.2, 9.12, 9.5, 8.33, 8.40
11 25 - 29 Jan. 2021 Dynamics of Systems of Particles (part 2)

Sections: Ch. 9 (part 2)

Exercises: 9.34, 9.47, 9.52, 9.62
12 1 - 5 Feb. 2021 Non-inertial frame of references, dynamics of rigid bodies (part 1)

Sections: Ch. 10, 11.2

Exercises: 10.3, 10.11, 10.17, 10.22, 10.2, 10.15
13 8 - 12 Feb. 2021 Dynamics of rigid bodies (part 2)

Sections: 11.3-11.12

Exercises: 11.3, 11.8, 11.13, 11.17, 11.23, 11.33

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Mathematische Rechenmethoden (Sinova/Everschor-Sitte) Summer Semester 2020

Please check under https://lms.uni-mainz.de/moodle/login/index.php to obtain notes, announcements, and other handouts for the course.

1 Fr, 24. Apr. 2020
08:15

Introduction

Series

Derivatives

Basic Functions

1.1

1.9

+ additional material
2 Fr, 8. Mai. 2020
08:15

Taylor Series

Series of Functions

1.2

1.6
3 Fr, 15. Mai 2020
08:15

Vector basics

Connect to trigonometric functions

Complex numbers

1.7

1.8
4 Fr, 22. Mai 2020
08:15

Integration and integration techniques (one dimensional and more dimensional)

Dirac Delta, Kronecker Delta

1.10

1.11
5

Fr, 29. Mai 2020

08:00

 Determinant and Matrices 2
6 Fr, 5. Jun. 2020
08:15

Vector Analysis

Coordinate Transformations

Rotations

 3.1-3.4
7 Fr, 12. Jun. 2020
8:15		 Differential Vector Operators 3.5-3.8
8

Fr, 19. Jun. 2020

08:15

Curvilinear Coordinates (Polar Coordinates, Cylindrical Coordinates, Spherical Coordinates) Differentiation and Integration in Curvilinear Coordinates, Jacobian of transformation

 

3.10

4.4
9 Fr, 26. Jun. 2020
8:15

Vector spaces

Fourier Analysis

 Parts of 5 and parts of 19 and 20.2
10 Fr, 3. Jul. 2020
12:00

Ordinary differential equations

 

 Parts of 7
11 Fr, 10. Jul. 2020
08:15

Error Calculus

+ Review

 

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Statistical Mechanics (Sinova/Everschor-Sitte) Winter Semester 2018/19

Welcome to the course of Statistical Mechanics and Thermodynamics. The course will follow the schedule below, where you can also find the link to the weekly exercises. Most of the exercises are taken from a set of about 200 problems that cover most of the material (the full file here).

The final exam will also be based on these set of problems.

Example of the 2018 Spring Semester exam can be found here: Exam-2018

The course will be taught by Jairo Sinova and Karin Everschor-Sitte jointly. Office hours should be arranged according to need.

The class and exercise schedule is as follows:

Theoretische Physik 4, Statistische Physik     Sinova, Everschor-Sitte 
Montag   8:00 - 10:00,   Lorentz-Raum 
Dienstag   12:00 - 14:00,   Lorentz-Raum 

Übungen zur Theoretischen Physik 4     Sinova, Everschor-Sitte mit Ass. 
Dienstag   14:00 - 16:00,   Seminarraum A 
Mittwoch   10:00 - 12:00,   Seminarraum A 
Donnerstag   14:00 - 16:00,   Seminarraum C 

The literature that we will follow is
[1] R. K. Pathrida and Paul D. Beale, Statistical Mechanics, Third Edition.
[2] K. Huang, Statistical Mechanics (Wiley, New York, 1987)

1 Mo, 15. Oct. 2018
08:00		 Introduction
Concepts and definitions in thermodynamics: thermodynamic variables, state functions, quasi-static processes, etc.
Reversible and irreversible processes and examples.
Exercise Assignment 1 (Due 29th Oct)		 [2] 1.1
2 Di, 16. Oct. 2018
12:00		 1st Law of Thermodynamics:
General principles of thermodynamic and its laws. Introduction of the different thermodynamic potentials.		 [2] 1.2-1.7
3 Mo, 22. Oct. 2018
08:00		 2nd Law of Thermodynamics:
Maxwell relations and Examples
Exercise Assignment 2 (Due 5th Nov)		 [2] 1.6
4 Di, 23. Oct. 2018
12:00		 Thermodynamic potentials as generation functions:
calculation of different thermodynamic variables (P,V from the 1st derivatives, heat capacity as a 2nd derivative).		 2] 1.1-1.7
5

Mo, 29. Oct. 2018

08:00

 3rd Law of Thermodynamics [2] 1.1-1.7
6 Di, 30. Oct. 2018
12:00		 Thermodynamics review and examples
Hands on exercise on melting ice (YouTube)		 2] 1.1-1.7
7 Mo, 5. Nov 2018
8:00

Statistical view of Entropy

Ideal gas from a statistical perspective

 [1] 1.1-1.4, 2.1-2.4[2] 6.1, 6.2
8

Di, 6. Nov. 2018

12:00

Gibbs paradox

Exercise Assignment 3 (Due 12th Nov)

 [1] 1.1-1.4, 2.1-2.4[2] 6.1, 6.2
9 Mo, 12. Nov. 2018
8:00

Ensemble Theory

Phase space and dynamics of the classical multi-body system. Probability function, Liouville's theorem, Ensemble theory, brief introduction of the different ensembles.

Microcanonical ensemble

 [1] 3.1-3.5
[2] 7.1
10 Di, 13. Nov. 2018
12:00

 

The Canonical ensemble

the Gibbs’ postulate for the distribution function, the partition function, relation with the thermodynamic potentials

Exercise Assignment 4 (Due 26th Nov)

 [1] 3.1-3.5
[2] 7.1
11 Mo, 19. Nov. 2018
08:00

Examples using the canonical ensemble:

Harmonic oscillator systems (classical and quantum mechanical), paramagnetism, and negative temperature

 [1] 3.7-3.10, 16.3.A
12 Di, 20. Nov. 2018
12:00

The grand canonical ensemble

Consistency of the postulates for the different ensembles

Exercise Assignment 5 (Due 3rd Dec)

 [1] 4.1-4.5, 3.6
[2] 7.3, 7.6
13 Mo, 26. Nov. 2018
08:00

 

Special lecture by Assa Auerbach: Max the Demon vs. Entropy of Doom
14 Di, 28. Nov. 2018
12:00		 Quantum systems: Density matrix vs distribution function. Quantum canonical and grand canonical ensemble. [1] 5.1-5.5
[2] 8.1, 8.2
15

Mo, 3. Dec. 2018

08:00

 Examples: an electron in a magnetic field and free particles in a box [1] 5.1-5.5
[2] 8.1, 8.2
16 Di, 4. Dec. 2018
12:00

 

Examples: Ideal gas of the harmonic oscillator (3.8), discrete level distribution function (black body 7.3);

Exercises for Assignment 6 (Due 10th Dec)

 [1] 3.8-3.10 (7.3)
17 Mo, 10. Dec. 2018
08:00		 Fermi- and Bose statistics. Indiscernibility of the quantum particles. Symmetry and anti-symmetry of wave functions. Fermi and Bose statistics. Fermi-Dirac and Bose-Einstein distributions for an ideal gas: derivation using the grand canonical ensemble. [1] 5.4,6.1,6.2,6.3
[2] A.1, A.2, 8.5,8.6
18 Di, 11. Dec. 2018
12:00

(continuation) Fermi-Dirac and Bose-Einstein distributions for an ideal gas: derivation using the grand canonical ensemble.

 

Exercises for Assignment 7 (Due 17th Dec)

 [1] 5.4,6.1,6.2,6.3
[2] A.1, A.2, 8.5,8.6
19 Mo, 17. Dec. 2018
08:00		 Bose-gas: Equation of state of the photon gas (black body problem). Black-body catastrophe. [1] 7.1,7.3
[2] 12.1-12.3
20 Di, 18. Dec. 2018
12:00		 Bose-gas:
(cont) Equation of state of the phonon gas in solids (two limiting cases of low and high temperatures). Bose-Einstein condensationExercises for Assignment 8 (Due 7th Jan)		 [1] 7.1,7.4,7.2
[2] 12.1-12.
21 Mo, 7. Jan. 2019
08:00		 Fermi-gas: Equation of state for electron gas in metals and magnetism* of ideal Fermi gas [1] 8.1,8.3,8.2*
[2] 11.1,11.3*
22 Di, 8. Jan. 2018
12:00

Fermi-gas: continued

 

 [1] 8.1,8.3,8.2*
[2] 11.1,11.3*
23 Mo, 14. Jan. 2019
08:00		 Non-ideal gas and Interacting systems: Equation of state of the non-ideal gas (cluster expansion and Virial expansion – van der Walls)
Role of correlations, hints for derivation.		 [1] 10.1-10.3,10.7
24 Di, 15. Jan. 2018
12:00		 Fluctuation theory 
Fluctuations and concept of local equilibrium. Exercises for Assignment 9 (Due 21st Jan)		 [1] 15.1
25 Mo, 21. Jan. 2019
08:00		 Thermodynamics of Phase Transitions

Definition of phases and phase transition.
Phase Equilibrium and the Clausius-Clapeyron relation.
Classification of the phase transitions (Ehrenfest).		 [1] 4.6, 4.7
[2] 2.1, 2.2
26 Di, 22. Jan. 2018
12:00		 Phase transitions: criticality, universality, and scaling
Liquid-gas (based on van-der-Waals equation). Exercises for Assignment 10 (Due 28th Jan)		 [1] 12.1, 12.2
[2] 17.5, 17.6
27 Mo, 28. Jan. 2019
08:00		 Landau theory of phase transitions. [1] 12.7, 12.9,12.10
[2] 13.4, 17.1-17.3
28 Di, 29. Jan. 2018
12:00		 Scaling Theory:
The scaling approach to phase transitions (Kadanoff hypothesis, etc.)Exercises for Assignment 11 (Due 4th Feb)		 [1] 12.10, 12.11, 12.12
29 Mo, 4. Feb. 2019
08:00		 Phase Transitions: some exact models [1] 13.2
30 Di, 5. Feb. 2018
12:00		 Introduction to Renormalization Group Theory of Phase Transitions [1] 14.1-14.3
31 Mo, 11. Feb. 2019
08:00		 Course Review
32 Di, 12. Feb. 2018
12:00		 FINAL EXAM

..

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Statistical Mechanics (Sinova/Gomonay) Summer Semester 2018

Welcome to the course of Statistical Mechanics and Thermodynamics. The course will follow the schedule below, where you can also find the link to the weekly exercises. Most of the exercises are taken from a set of about 200 problems that cover most of the material (the full file here).

The final exam will also be based on these set of problems.

The course will be taught by Olena Gomonay and Jairo Sinova jointly. We will have open office hours from 12:30 - 14:30 on Mondays. We can also arrange other times.

The class and exercise schedule is as follows:

Theoretische Physik 4, Statistische Physik     Gomonay, Sinova 
Montag   8:00 - 10:00,   Lorentz-Raum 
Dienstag   12:00 - 14:00,   Lorentz-Raum 

Übungen zur Theoretischen Physik 4     Gomonay, Sinova mit Ass. 
Mittwoch   12:00 - 14:00,   Galilei-Raum 
Donnerstag   12:00 - 14:00,   Seminarraum A 
Donnerstag   14:00 - 16:00,   Seminarraum D 

The literature that we will follow is
[1] R. K. Pathrida and Paul D. Beale, Statistical Mechanics, Third Edition.
[2] K. Huang, Statistical Mechanics (Wiley, New York, 1987)

1 Mo, 16. Apr. 2018
08:00		 Introduction
Concepts and definitions in thermodynamics: thermodynamic variables, state functions, quasi-static processes, etc.
Reversible and irreversible processes and examples.
Exercise for Week 1		 Gomonay
Sinova
[2] 1.1
2 Di, 17. Apr. 2018
12:00		 Principles:
General principles of thermodynamic and its laws. Introduction of the different thermodynamic potentials.		 Gomonay
Sinova
[2] 1.2-1.7
3 Mo, 23. Apr. 2018
08:00		 Principles:
Maxwell relations and Examples
Exercise for Week 2 (22.04.2018)		 Sinova
[2] 1.6
4 Di, 24. Apr. 2018
12:00		 Thermodynamic potentials as generation functions:
calculation of different thermodynamic variables (P,V from the 1st derivatives, heat capacity as a 2nd derivative).		 Sinova
5

Mo, 30. Apr. 2018

08:00

 Phase space and dynamics of the classical multi-body system: Probability function, Liouville’s theorem, Ensemble theory, brief introduction of the different ensembles: microcanonical, canonical, grand canonical.
Exercise for Week 3		 Gomonay
Sinova
[1] 1.1-1.4, 2.1-2.4[2] 6.1, 6.2
6 Mo, 7. Mai 2018
08:00		 The canonical (Gibbs’) ensemble.
the Gibbs’ postulate for the distribution function, the partition function, relation with the thermodynamic potentials
Exercise for Week 4		 Gomonay
Sinova
[1] 3.1-3.5
[2] 7.1
7 Di, 8. Mai 2018
12:00		 Equation of state of the ideal gas (step-by-step derivation) for the canonical ensemble. Boltzmann and Maxwell distribution. Gomonay
[1] 3.7-3.9, 16.3.A
8

Mo, 14. Mai 2018

08:00

 The grand canonical ensemble
Consistency of the postulates for the different ensembles
Exercise for Week 5		 Gomonay
Sinova
[1] 4.1-4.5, 3.6
[2] 7.3, 7.6
9 Di, 15. Mai 2018
12:00		 Quantum systems: Density matrix vs distribution function. Quantum canonical and grand canonical ensemble. Gomonay
Sinova
[1] 5.1-5.5
[2] 8.1, 8.2
10 Di, 22. Mai 2018
12:00

Examples: Ideal gas of the harmonic oscillator (3.8), Discrete level distribution function (black body 7.3); Paramagnets (3.9); Negative temperatures for the systems with finite degrees of freedom.

Exercises for Week 6

 Gomonay
Sinova
[1] 3.8-3.10 (7.3)
11 Mo, 28. Mai 2018
08:00

Fermi- and Bose statistics. Indiscernibility of the quantum particles. Symmetry and anti-symmetry of wave functions. Fermi and Bose statistics. Fermi-Dirac and Bose-Einstein distributions for an ideal gas: derivation using the grand canonical ensemble.

Exercises for Week 7

 Gomonay
Sinova
[1] 5.4,6.1,6.2,6.3
[2] A.1, A.2, 8.5,8.6
12 Di, 29. Mai 2018
12:00		 (continuation) Fermi-Dirac and Bose-Einstein distributions for an ideal gas: derivation using the grand canonical ensemble. Gomonay
[1] 5.4,6.1,6.2,6.3
[2] A.1, A.2, 8.5,8.6
13 Mo, 4. Jun. 2018
08:00

Fermi-gas: Equation of state for electron gas in metals and magnetism* of ideal Fermi gas

Exercises for Week 8

 Sinova
[1] 8.1,8.3,8.2*
[2] 11.1,11.3*
14 Di, 5. Jun. 2018
12:00		 Bose-gas: Equation of state of the photon gas (black body problem). Black-body catastrophe. Sinova
[1] 7.1,7.3
[2] 12.1-12.3
15

Mo, 11. Jun. 2018

08:00

 Bose-gas:
(cont) Equation of state of the phonon gas in solids (two limiting cases of low and high temperatures). Bose-Einstein condensation
Exercises for Week 9		 Gomonay
Sinova
[1] 7.1,7.4,7.2
[2] 12.1-12.
16 Di, 12. Jun. 2018
12:00		 Non-ideal gas and Interacting systems: Equation of state of the non-ideal gas (cluster expansion and Virial expansion – van der Walls)
Role of correlations, hints for derivation.		 Gomonay
Sinova
[1] 10.1-10.3,10.7
17 Mo, 18. Jun. 2018
08:00		 Fluctuation theory
Fluctuations and concept of local equilibrium.Exercises for Week 10		 Gomonay
[1] 15.1
18 Di, 19. Jun. 2018
12:00		 Thermodynamics of Phase Transitions

Definition of phases and phase transition.
Phase Equilibrium and the Clausius-Clapeyron relation.
Classification of the phase transitions (Erenfest).		 Gomonay
[1] 4.6, 4.7
[2] 2.1, 2.2
19 Mo, 25. Jun. 2018
08:00		 Phase transitions
Liquid-gas (based on van-der-Waals equation).Exercises for Week 11		 Gomonay
Sinova
[1] 12.1, 12.2
[2] 17.5, 17.6
20 Di, 26. Jun. 2018
12:00		 Landau theory of phase transitions. Gomonay
Sinova
[1] 12.7, 12.9,12.10
[2] 13.4, 17.1-17.3
21 Mo, 2. Jul. 2018
08:00		 The scaling approach to phase transitions (Kadanoff hypothesis, etc.) Gomonay
Sinova
[2] Chapter 18
[1] 12.10, 12.11, 12.12

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