# workplan outline

## Week 1 (June 21-)

### Tuesday morning (10h30-lunch)

Whiteboard presentations (Pablo)

- [x] Hamiltonians, Bloch theorem
- [x] Eigenvalues, eigenvectors
- [ ] Time evolution of initial states (a mixture of eigenvectors)
- [x] KPM approximation to spectral densities, DoS and other observables.
- [x] Stochastic approximation of the trace
- [ ] Partial trace, subspace sampling.

### Rest of the week- readings/Q&A

Papers – RMP KPM + Physics Reports

### Friday morning (10h-lunch)

- [ ] Introduction to
- [x] python
- [x] jupyter notebooks
- [x] Kwant
- [x] matplotlib
- [ ] Application of the KPM theory in python (Kwant)
- [x] Construction of simple lattices (2D)
- [ ] Construction of the FKM model in 3D

### Friday afternoon (follow-up with Pablo)

+ readings: Documentation of Kwant, KPM Tutorial

## Week 2 (June 28-)

### Monday morning.

* Whiteboard presentations (Pablo)
- [x] Application of the KPM theory in python (Kwant)
- [x] KPM conductivity
- [x] Partial trace, subspace sampling.
- [x] Time evolution of initial states (a mixture of eigenvectors)
- [ ] Dynamics in the FKM model:
- [ ] preparation of initial state
- [x] time evolution with KPM

### ~~Monday afternoon. Group meeting 14h-17h~~

### Tuesday morning (10h30-lunch)

* ~~Discussion on FKM and spin dynamics (Pablo, Aron, Marc, Stephan)~~
* Whiteboard presentations (Pablo)
- [ ] Construction of the FKM model in 3D
- [ ] Topology in 2D: Chern insulator, QHE, QAHE.
- [ ] Topology in 3D: STI; and quasi-2D: MTI, Axion I.
- [ ] Dynamics in the FKM model:
- [ ] preparation of initial state

### Tuesday afternoon Group meeting 14.30h-17h

Follow up discussions with Pablo/Aron/Marc/Stephan on FKM and spin dynamics
~~code/programming/assignments with Pablo~~

### Friday morning (10h-lunch)

(follow up with Pablo code/programming/assignments)

## Week 3 (July 5)

### Monday afternoon. Group meeting 14h-17h

### Tuesday morning (10h-lunch)

Whiteboard presentations (Pablo)

Discussion on the topological markers and ongoing simualtions on magnetic TIs (Pablo, Aron, Marc, Stephan)
* Chern marker
* Conductivity
* Any other function of the Hamiltonian

### Tuesday afternoon

(follow-up codes/programming with Pablo and Marc)

### Friday morning (10h-lunch)

(follow up with Pablo and Marc code/programming/assignments)

## Week 4 (July 12)

### Monday afternoon. Group meeting 14h-17h

### Tuesday morning (10h-lunch)

Discussion on progress & results & finalization (spin dynamics)

### Wednesday morning (10h-lunch)

Discussion on progress & results & finalization (Chern markers)

### Friday morning & afternoon

Discussion on progress & results & finalization + farewell…..