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# System prepended metadata

title: workplan outline

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# 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….. 