Marton Lajer
Condensed Matter Theory, Condensed Matter Physics and Materials Science Department
Brookhaven National Laboratory
Condensed Matter Physics and Materials Science Department
Bldg. 734
P.O. Box 5000
Upton, NY 11973-5000
(631) 344-5089
mlajer@bnl.gov
I am a postoctoral fellow in the Condensed Matter Theory group. My current research interest focuses on develpoing Hamiltonian Truncation methods to Quantum Field Theories, the extension of these methods to 2+1 dimensions and their application to effective models arising in strongly interacting condensed matter systems.
Recently I have also become interested in the possible utilization of intermediate scale quantum computers to implement Hamiltonian methods for QFTs and many-body systems.
Expertise | Education | Appointments | Publications
Expertise
Hamiltonian truncations
— Nonperturbative study of quantum field theories [and, by extension, quantum many-body systems]
— Real-time physics (time evolution after quenches)
— Spectrum, matrix elements, 0,1,2-point correlators
— Landau-Ginzburg (phi^n), sine/sinh-Gordon, Bullough-Dodd, Massive Schwinger models
Integrable Quantum Field Theories in 2 dimensions
— Thermodynamic / Asymptotic Bethe Ansatz
— Form factors and their finite volume corrections[, 2-point correlators]
— sinh-Gordon, Bullough-Dodd[, Affine Toda, sine-Gordon, etc.] models
Finite volume physics
— Exponential (Lüscher) corrections to offdiagonal matrix elements in integrable models
— Hamiltonian (Rayleigh-Schrödinger, Wigner-Brillouin) perturbation theory in finite volume for general QFT
Low dimensional/low energy effective models of QCD
Feynman diagrammatic techniques
Implementing numerical methods in Wolfram Language, C/C++, Python[, Matlab]
Education
PhD in physics, 2020, Eotvos Lorand University, Budapest, Hungary
dissertation: Finite volume methods in the quantum sinh-Gordon theory
Supervisor: Zoltan Bajnok
MSc in physics, 2016, Eotvos Lorand University
Master's thesis title: Nonperturbative study of the 1+1 dimensional $\phi^4$ model by Hilbert Space Truncation (in Hungarian)
Supervisor: Zoltan Bajnok
BSc in physics, 2013, Eotvos Lorand University
Bachelor's thesis title: Theoretical and Experimental Examination of the Optical Properties of Graphene
Thin Films (in Hungarian)
Supervisors: Jozsef Cserti, Gyongyi Pergerne Klupp, Katalin Kamaras
Professional Appointments
Postdoctoral research associate, Brookhaven National Laboratory (2022-2024)
Independent contractor academically affiliated to Brookhaven National Laboratory (2021-2022)
Junior Research Fellow, Wigner Research Centre for Physics (2020)
PhD Student, Eotvos Lorand University, Department of Theoretical Physics (2016-2020)
Junior Research Fellow (part-time), Wigner Research Centre for Physics (2016-2020)
Selected Publications
- Lajer M, Konik RM, Pisarski RD, Tsvelik AM (2022) When cold, dense quarks in
- Konik R, Lájer M, Mussardo G (2021) Approaching the self-dual point of the sinh-Gordon model. Journal of High Energy Physics 2021:. https://doi.org/10.1007/jhep01(2021)014
- Bajnok Z, Lájer M, Szépfalvi B, Vona I (2019) Leading exponential finite size corrections for non-diagonal form factors. Journal of High Energy Physics 2019:. https://doi.org/10.1007/jhep07(2019)173
- Bajnok Z, Balog J, Lájer M, Wu C (2018) Field theoretical derivation of Lüscher's formula and calculation of finite volume form factors. Journal of High Energy Physics 2018:. https://doi.org/10.1007/jhep07(2018)174
- Bajnok Z, Lajer M (2016) Truncated Hilbert space approach to the 2d ? 4 theory. Journal of High Energy Physics 2016:. https://doi.org/10.1007/jhep10(2016)050
Brookhaven National Laboratory
Condensed Matter Physics and Materials Science Department
Bldg. 734
P.O. Box 5000
Upton, NY 11973-5000
(631) 344-5089
mlajer@bnl.gov
