Dr Dávid Horváth
Postdoctoral Research Fellow
Research interests
- Mathematics
Contact details
Biography
Dr Dávid Horváth is a Postdoctoral Research Fellow in the Department of Mathematics at King’s College London. Dr Horváth was an undergraduate student at the Budapest University of Technology and Economics from 2009 to 2014 where he obtained a Bachelor’s and a Master’s degree in Physics. He worked together with Professor János Kertész and studied spreading phenomena on complex networks for his master thesis.
Under the supervision of Professor Gábor Takács he then started to investigate the out-of-equilibrium dynamics of low dimensional quantum systems and obtained his PhD (Summa cum laude) in 2019 at the same university. During the years of his PhD he learned advanced analytical (Form Factor Bootstrap, Thermodynamic Bethe Ansatz, Generalised Hydrodynamics, etc.) as well as numerical techniques (truncated conformal space approach). He was awarded the ‘UNKP’ fellowship of the ‘New National Excellence Program’ by the Hungarian state.
In 2020 Dr Horváth obtained his first postdoctoral fellowship in the group of Professor Pasquale Calabrese (SISSA) with whom he developed a novel method to study non-trivial entanglement properties of integrable quantum field theories. In the meanwhile, he kept his interest also in non-equilibrium physics, which mostly manifested in studies of the sine-Gordon theory. Additionally he took part in substantial methodological development of the truncated space approach, which is suitable for non-equilibrium setups as well.
He joined King’s College as a Postdoctoral Research Associate in October 2023 under the guidance of Professor Benjamin Doyon.
Research interests
Dr. Horváth’s research activities focus on the out-of-equilibrium dynamics of low dimensional, strongly correlated quantum systems and on the entanglement properties thereof. He is particularly interested in phenomena related to anomalous equilibration, the impact of spatial inhomogeneities and the emergence of effective, large scale descriptions in isolated systems, and in describing real-world experimental setups. He uses both analytical (TBA, GHD, QGHD, FF bootstrap and related methods) and numerical techniques (TCSA).
- Equilibrium and out-of-equilibrium properties of classical and quantum integrable field theories
- Conformal field theories
- Integrability breaking and the effective description of 1D cold atom systems
- Entanglement in 1D systems
- Truncated space approaches and their application to low dimensional quantum field theories
Publications
Dr. Horváth’s highlighted publications include: DX Horváth, P Calabrese; Symmetry resolved entanglement in integrable field theories via form factor bootstrap, Journal of High Energy Physics 2020 (11), 1-45 DX Horváth, I Lovas, M Kormos, G Takács, G Zaránd; Nonequilibrium time evolution and rephasing in the quantum sine-Gordon model, Physical Review A 100 (1), 013613 (2019) DX Horváth; Hydrodynamics of massless integrable RG flows and a non-equilibrium c-theorem, Journal of High Energy Physics 2019 (10), 1-40 DX Horváth, J Kertész; Spreading dynamics on networks: the role of burstiness, topology and non-stationarity, New Journal of Physics 16 (7), 073037 (2014) |
Teaching
Dr. Horváth’s past teaching experience includes:
- Exercise class for Physicist Students on Theoretical Mechanics
- Exercise class for Physicist Students on Experimental Mechanics
- Exercise class for Computer Scientist Students on Experimental Mechanics
- Exercise class for Physicist Students on Applied Mathematical Methods in Physics
- Exercise class for Electrical Engineer Students on Electrodynamics
- Exercise class for Physicist Students on Theoretical Mechanics
Further Information
Further information on Dr. Horváth can be found via the below links:
Research
Disordered Systems
The Disordered Systems group at King's is at the forefront of research in statistical mechanics of disordered and complex systems.
Research
Disordered Systems
The Disordered Systems group at King's is at the forefront of research in statistical mechanics of disordered and complex systems.