(closed) Call for two fellowship (PhD student) positions in Prof. Krzysztof Pawłowski’s project (W4PhD-KP/08/2025)

Closed 

The Director of the Center for Theoretical Physics PAS invites applications for
2 PhD Student fellowships at the CTP PAS, financed from the project OPUS 27 “Real-world statistics of ultracold gases and their consequences" funded by the National Science Center (grant agreement number: UMO-2024/53/B/ST2/02161).

The PI of the project is dr hab. Krzysztof Pawłowski, Prof. of CTP PAS.

The aim of the project is to verify the hypothesis of the equivalence of statistical ensembles in the case of interacting systems.

Tasks of the first PhD student who wins this competition:
- Study of the (non-)equivalence of statistical ensembles in the case of interacting systems.
- Analysis of a 1-dimensional system in the Lieb-Liniger and Yang-Yang models.
- Application of mathematical physics methods dedicated to the Lieb-Liniger model.
- Calculation of Bose-Einstein condensate fluctuations.
- Design of quantum "engines".

Tasks of the second PhD student who wins this competition:
- Conduct research within the framework of quantum mechanics of open systems.
- Create a realistic model of gas cooling at ultra-low temperatures.
- Compare with experimental results.
- Collaborate with the experimental group of Jan Arlt.
- Perform numerical calculations, including comparison of correlation functions of a thermal gas modeled within different statistical ensembles.

- Consequences of statistics on quantum interferometry.

The scope of work of the first successful Candidate within the project will include:

developing further the analysis of ensembles and relations between them

using ready software available in the group. Analytical calculations (1D case) for the

distributions, for the correlation functions and finally on the general metrological

scheme.

The scope of work of the second successful Candidate within the project will  include: 

extending codes for the stochastic wave approach, analyzing the

resulting statistical ensembles and probability distributions, conducting numerical

analysis of correlation functions, completing an internship at Aarhus University and

analyzing experimental data, and implementing software to analyze time-of-flight

images. Writing drafts of publications. Dissemination and communication.

We expect the candidates to have:

- Experience in conducting scientific research.

- Knowledge in the field of statistical mechanics.

- Knowledge in the field of many-body systems.

- Ability to carry out analytical reasoning.

- Passion for science.

The application must include:

1. The scientific CV, including the progress in the university studies, scientific
   achievements (publications, participation in research projects and conferences), with the clause "I agree to the processing of my personal data contained in the application
   documents for the purposes necessary for the implementation of the process recruitment by the doctoral school WARSAW-4-PhD".
2. Cover letter.
3. A copy of the master’s degree diploma, or a statement from the Candidate’s MSc Advisor about the planned date of diploma obtaining 
4. Copies of documents confirming scientific or professional achievements.

1. At least one letter of recommendation from a researcher with at least a PhD degree,
   concerning the candidate and his/her current scientific activity.
2. Application for admission to the WARSAW-4-PhD doctoral school (Attachment No. 1).

Documents should be submitted electronically via the recruitment system on the website www.warsaw4phd.eu from 19.05.2025 to 01.06.2025.