My Research
The research during my PhD is within the framework of the AdS/CFT (Anti-de Sitter/Conformal Field Theory) correspondence. This paradigm in high-energy physics describes a duality between strongly coupled theories in D dimensions and gravitational theories in negatively curved spacetimes in one dimension higher. My PhD work focuses on developing versions of this duality defined on discrete setups, such as spin chains and discretizations of hyperbolic space known as hyperbolic tilings. These investigations enable the experimental realization of AdS/CFT predictions via electric circuit architectures, whereby negatively curved spaces can be faithfully emulated.
In parallel, my research has allowed me to gain experience with quantum information-theoretic quantities such as entanglement entropy, mutual information, quantum complexity, and quantum discord. These play a pivotal role in many aspects of the AdS/CFT correspondence and provide a rich connection between high-energy physics and quantum information theory which I am fascinated by. I am eager to further develop my knowledge of quantum information through practical experience in the field of quantum computing, both from a theoretical as well as an experimental perspective.
Publications
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Quantum complexity as hydrodynamics
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Fractional Klein-Gordon Equation on AdS 2+1
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Breitenlohner-Freedman Bound on Hyperbolic Tilings
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Towards explicit discrete holography: Aperiodic spin chains from hyperbolic tilings
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Aperiodic spin chains at the boundary of hyperbolic tilings
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Geometric Quantum Discord Signals Non-Factorization
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Entanglement in interacting Majorana chains and transitions of von Neumann algebras
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Simulating Holographic Conformal Field Theories on Hyperbolic Lattices
Links to my research:
Talks & Posters
Type: Talk
Event: QMA Fall School and Retreat “Topological Quantum Matter” 2021
Date: 11-15 October 2021
Title: “Quantum Complexity as Hydrodynamics“
Type: Talk
Event: Quantum Alliance PhD Conference 2022
Date: 27-28 April 2022
Title: “Quantum Complexity as Hydrodynamics“
Type: Talk
Event: Virtual DPG Spring Meetings Heidelberg 2022
Date: 21-25 March 2022
Title: “Quantum Complexity as Hydrodynamics“
Type: Talk
Event: “ct.qmat” Cluster Retreat Merseburg 2022
Date: 21-25 March 2022
Title: “Quantum Complexity as Hydrodynamics“
Type: Gong-Show Talk & Poster
Event: “STRINGS” 2022 Vienna
Date: 18-22 July 2022
Title: “Quantum Complexity as Hydrodynamics“
Type: Poster (Best Poster Award Winner)
Event: “ct.qmat” Cluster Retreat Bayreuth 2023
Date: 20-22 March 2023
Title: “Aperiodic spin chains for discrete holography on hyperbolic tilings“
Type: Poster
Event: “Entangle This V: Randomness, Complexity and Quantum Circuits” Benasque 2023
Date: 11-17 June 2023
Title: “Aperiodic spin chains for discrete holography on hyperbolic tilings“
Type: Poster
Event: YIPQS long-term workshop “Quantum Information, Quantum Matter and Quantum Gravity" and YKIS conference “Foundations and Developments of Quantum Information Theory"
Date: 11-22 September 2023
Title: “Quantum Complexity as Hydrodynamics“
Type: Talk
Event: DPG Spring Meetings Berlin 2024
Date: 17-22 March 2023
Title: “Entanglement in Interacting Majorana Chains and Transitions of von Neumann Algebras“
Type: Talk
Event: “ct.qmat” Cluster Retreat Weimar 2024
Date: 25-27 March 2024
Title: “Entanglement in Interacting Majorana Chains and Transitions of von Neumann Algebras“
Type: Talk
Event: Condensed Matter Physics Seminar, University of Alberta. (Organizer: Prof. Dr. Igor Boettcher)
Date: April 9th 2024
Title: “Entanglement in Interacting Majorana Chains and Transitions of von Neumann Algebras“
Conferences & Schools
QMA Fall School and Retreat “Topological Quantum Matter” 2021: 11.10.2021 - 15.10.2021
Virtual DPG Spring Meetings Heidelberg 2022: 21.03.2022 - 25.03.2022
“ct.qmat” Cluster Retreat Merseburg 2022: 21.03.2022 - 25.03.2022
Quantum Alliance PhD Conference 2022: 27.04.2022 - 28.04.2022
CT.QMAT International Conference on Complexity and Topology in Quantum Matter 2022: 25.07.2022 - 29.07.2022
“STRINGS” 2022 Vienna: 18.07.2022 - 22.07.2022
Research Visit to Perimeter Institute: 01.10.2022 - 15.10.2022
“ct.qmat” Cluster Retreat Bayreuth 2023: 20.03.2023 - 22.03.2023
DPG Summer Meeting Dresden 2023: 20.03.2023 - 24.03.2023
“Entangle This V: Randomness, Complexity and Quantum Circuits” Benasque 2023: 11.07.2023-17.07.2023
YIPQS long-term workshop “Quantum Information, Quantum Matter and Quantum Gravity" and YKIS conference “Foundations and Developments of Quantum Information Theory": 11.09:2023 - 22.09.2023
DPG Spring Meeting Berlin 2024: 17.03.2024 - 22.03.2024
“ct.qmat” Cluster Retreat Weimar 2024: 25.03.2024 - 27.03.2024
Research Visit to Condensed Matter Physics Group, University of Alberta, Edmonton: 02.04.2024 - 19.04.2024
“Quantum Chaos and Holography 24” Würzburg 2024: 20.05.2024 - 24.05.2024
Teaching
Lecture: Statistical Mechanics and Thermodynamics
Lecturer: Prof. Dr. Ewelina Hankiewicz
Position: Teaching Assistant
Period: Winter Term 2021/2022
Lecture: Theoretical Quantum Mechanics I
Lecturer: Prof. Dr. Giorgio Sangiovanni
Position: Teaching Assistant
Period: Summer Term 2022
Lecture: Statistical Mechanics and Thermodynamics
Lecturer: Prof. Dr. Johanna Erdmenger
Position: Teaching Assistant
Period: Winter Term 2022/2023
Lecture: Theoretical Quantum Mechanics I
Lecturer: Prof. Dr. Giorgio Sangiovanni
Position: Teaching Assistant
Period: Summer Term 2023