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>> PhD study programme in Physics <<

The PhD programme in physics involves a combination of courses, the completion of an original, scholarly piece of research that is then presented as a PhD dissertation and the academic internship mainly focused on academic teaching skills. The courses available within the PhD programme in physics are in form of lectures, classes, seminars, tutorials, computer labs and others. They cover various fields in physics and PhD student together with supervisor decide which offered courses are most compatible with needs and interests of given student and his individual research programme. Total minimum number of 40 ECTS points have to be collected during the programme, which allows our PhD students to focus on their scientific research.
The research activities of the department are broad and cover practically all fields of physics, both in theory and experiment. For a more detailed description of research areas, see the website of the Faculty of Physics, Astronomy and Applied Computer Science of the JU. Specifically, have a look at the Institute Departments of the M.Smoluchowski Institute of Physics and Departments of the Institute of Theoretical Physics to find various departments and research groups. 
The M.Smoluchowski Institute of Physics conducts, mainly experimental, research into physics of:

  • high energies,
  • elementary particle physics (including the structure of hadrons),
  • nuclear physics (properties of atomic nuclei and mesons,
  • exotic nuclear excitations,
  • hot nuclear matter and theoretical few-nucleon physics),
  • atomic physics,
  • molecular and quantum optics (especially lasers, non-linear optics, atomic and molecular spectroscopy),
  • condensed state physics,
  • materials science (with special focus on intermetallic compounds, semiconductors, magnetics, dielectrics, liquid crystals and polymers),
  • phase transition physics,
  • surface physics, including physics of nanostructures and nanotechnology, high-temperature superconduction, medical physics, environmental protection physics, biophysics, organic molecules synthesis, processes of biomineralization in organisms and computer physics. 

In the Institute of Theoretical Physics research in various branches of modern theoretical physics are carried out:

  • in astrophysics and general relativity,
  • atomic optics and quantum physics,
  • classical and quantum field theory,
  • condensed matter theory,
  • elementary particle physics,
  • mathematical physics,
  • quantum gravity and string theory,
  • statistical physics,
  • and the theory of complex systems.

Interdisciplinary research are also conducted in the areas of cognitive and brain sciences, quantum computing, artificial intelligence and machine learning.

Apart an experienced scientific stuff, a large international group of younger scientists is involved in the research: postdoctoral fellows and PhD students. Interdisciplinary and inter-departmental research activities also are possible. We also conduct extensive international collaborations what brings opportunities to visit our collaborators in their home institutions.  These make that Ph.D studies in physics at the Jagiellonian University are a perfect start to the development of an international scientific career.

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Quantum information aspects of holography (Project Manager: dr Mario Flory)

Quantum information aspects of holography (Project Manager: dr Mario Flory)

Pursuant to § 7 sections 1 and 3 of Resolution No. 91/IX/2021 of the Senate of the Jagiellonian University of 29 September 2021 on: the rules of recruitment for the Doctoral School of Exact and Natural Sciences at the Jagiellonian University in the academic year 2022/2023, the Director of the Doctoral School of Exact and Natural Sciences announces a competition for 1 doctoral student with a scholarship financed from the research project funds as part of the 4-year PhD programme in Physics.

Within the NCN-funded SONATA BIS project entitled Holographic connections between quantum fields, information, and gravity, a commission set up at the School will conduct recruitment for the PhD study programme Physics.

The project manager, Dr. Mario Flory, offers an opportunity to complete the doctorates in the following area: ”Quantum information aspects of holography”.

After the interviews and the evaluation of the candidates, the Chairman of the committee presents a report to the Director containing a list of candidates recommended for admission to the school as part of the research project.

Project description:

In mathematical physics, the AdS/CFT correspondence is a conjecture according to which certain quantum theories (conformal quantum field theories or short CFTs, called the ”boundary”) can be described in a mathematically equivalent way in terms of theories of gravitation (called the ”bulk”) involving a negative curvature of spacetime (Anti-De Sitter spaces, AdS). This makes it an extremely powerful tool that allows translating questions about one side of the duality into questions about the theory on the other side of the duality, where they may be easier to solve with the available mathematical methods. For example, calculating the amount of quantum entanglement present in a physical system can be quite mathematically demanding, however, AdS/CFT maps this task to a geometrical problem conceptually similar to calculating the shape of a soap bubble in the bulk.
 
In this PhD project, we will research the importance of concepts from quantum information theory in AdS/CFT. Specifically, we will explore (multipartite) quantum entanglement and what role it plays in the AdS/CFT correspondence and in identifying its range of applicability. Another main focus of this project will be the task of analysing measures for the "complexity" of a given state or operator, where complexity is defined as some notion of distance between a given target state and a simple reference state in the space of states, or between a given operator and the identity operator in a group manifold respectively. This allows the application of methods of differential geometry to problems in quantum information and computation theory. Questions that can be tackled in this project concern the definition and calculation of complexity in strongly coupled quantum field theories, testing which calculations in the bulk correspond to a calculation of complexity on the boundary in AdS/CFT, and how such calculations can shed light on the fundamental mechanisms behind the AdS/CFT correspondence. 

Example literature:

Candidate’s profile:

  • M.Sc. in Theoretical or Mathematical Physics
  • experience in Quantum Mechanics and Quantum Field Theory
  • strong interest (and ideally already experience) in General Relativity, the AdS/CFT correspondence, Quantum Information Theory, and/or numerical computations
  • fluent English in writing and speaking (minimum B2 level)

Schedule of the competition:

  1. Announcement on the School's website: 20.01.2023
  2. Opening of the competition (means: opening admission in the Online Application System): 03.02.2023
  3. Application submission deadline: (means: closing the Online Application System): 06.03.2023
  4. Entrance exams: 13.03-15.03.2023
  5. Announcement of results: 17.03.2023
  6. Enrollment: 20.03.2023 - 20.06.2023
  7. Enrollment (reserve list): 21.06.2023 – 23.06.2023

Recruitment rules for academic year 22/23 are available at this link: Detailed terms and procedures of admission (Physics)

Application documents:

Application documents for academic year 22/23 are available at this link: Required documents (Physics)

In addition, please include a Motivation letter.

Please upload them into the Online Application System

Documents required for entry within PhD study programme are available at this link: Required dokuments (Physics)

 

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