Yaman Evkaya · M.Sc. Physics Candidate at LMU Munich
I work at the interface of quantum field theory, lattice gauge dynamics and quantum many-body physics, combining analytical model building with large-scale numerical simulation: tensor networks, Krylov methods and exact diagonalisation on Hilbert-space sectors of several million states. Developing interests span lattice QCD and gauge–gravity duality, and the translation of quantum simulation into industry-relevant technology.
Fig. 1
(2+1)D Honeycomb Quantum-Link Model
Singlet notation after Halimeh et al., PRX Quantum 5, 030358 (2024).
Fig. 2
AdS₅ × S⁵ ⟷ N = 4 SYM
Type IIB strings on AdS₅ × S⁵ ≡ N = 4 SU(N) SYM ·
Circular loop r² + z² = R² after Drukker, Gross & Ooguri, Phys. Rev. D 60, 125006 (1999); drawn in coordinates, the surface is minimal in the AdS metric.
Profile
Four connected areas define my research: model building for constrained quantum many-body systems, the numerical methods that solve them, an AI-augmented but independently verified development practice, and the transfer of these methods to industrial research.
Selected work
Each project opens with its research question, methods, results and the original documents.
Exact and tensor-network study of source-supported electric flux, matter screening and real-time response in a two-rishon SU(2) quantum-link model on an open honeycomb lattice.
View project detailsA Szilard-like engine in which the level degeneracy created by an inserted barrier drives a Stirling-like cycle in oscillator-shaped wells with position-dependent mass.
View project detailsExact solution of non-Hermitian XY and XX frustrated, dimerised spin chains in a transverse complex field, and their thermal and ground-state entanglement.
View project detailsA plastic-scintillator detector with photomultiplier readout whose cosmic-muon pulses are recorded on an oscilloscope and made audible by an LM555 voltage-to-frequency stage.
View project detailsThe thesis investigates source-supported electric flux, matter screening and real-time response in a finite two-rishon SU(2) quantum-link model on an open honeycomb lattice, with its representation, conserved sectors and numerical accuracy specified explicitly.
Fig. 7
C₂ patch · two-rishon SU(2) quantum links
Geometry of thesis Fig. II.1; panel (d) exact data of thesis Ch. IV. Singlet notation after Halimeh et al., PRX Quantum 5, 030358 (2024).
A Szilard-like quantum heat engine is built on the level degeneracy produced by inserting a barrier into a positive oscillator-shaped well. From the position-dependent energy eigenvalues, the work and efficiency of a Stirling-like cycle are computed as functions of angular frequency, well width and temperature.
Fig. 8
Szilard-like engine · oscillator-shaped well
Levels: exact spectrum of the drawn well (ħ = m = ω = 1, V₀ = 10); the article treats a position-dependent mass. Cycle schematic. Evkaya, Ökcü & Aydiner, Int. J. Theor. Phys. 62, 237 (2023).
The thesis treats non-Hermitian XY and XX frustrated, dimerised, quasi-one-dimensional spin chains in a transverse complex field and shows that they can be solved exactly through a fermionic mapping. Thermal and ground-state entanglement entropies follow from the resulting spectra.
Fig. 9
entanglement in a dimerised zigzag chain
B.Sc. thesis, İstanbul University (2024): exact solution by Jordan–Wigner, Fourier and Bogoliubov transformations; thermal and ground-state entanglement entropies.
A plastic-scintillator detector with photomultiplier readout makes naturally occurring cosmic muons observable: each transit is recorded as a voltage pulse on an oscilloscope and converted into sound by an LM555 voltage-to-frequency circuit.
Fig. 10
plastic scintillator · PMT at 800 V · LM555
Experimental project, İstanbul University (2020–2022); report Doğanın Senfonisi (in Turkish).
01 / Theory
My theoretical work treats lattice gauge theories as constrained quantum many-body systems: how local gauge constraints shape spectra, screening and real-time dynamics. Developing interests carry these questions towards continuum field theory, lattice QCD and gauge–gravity duality.
Fig. 3
theoretical profile · core model and six directions
Core: the SU(2) quantum-link models of the M.Sc. thesis (Fig. 1, Fig. 7); honeycomb motif of the C₂ patch.
02 / Computation
I build reproducible numerical workflows for ground states, real-time evolution and observables, from exact calculations in symmetry-resolved Hilbert spaces to compressed tensor-network representations.
Fig. 4
Hilbert-space sectors → solvers → verified observables
Exact diagonalisation in Gauss-law sectors up to 46,829 states; tensor networks as matrix-product states of bond dimension χ.
03 / AI
I use AI systems as tools for research software development, while physical modelling, the choice of numerical methods, interpretation and validation remain under my direct control.
Fig. 5
AI-augmented development, human-led
Generated work enters the loop only after checks against identities, constraints and reference calculations.
04 / Industry
I am interested in research and engineering roles that turn rigorous quantum modelling into useful algorithms, simulation platforms and reliable computational technology.
Fig. 6
established base · developing directions
Inner ring: the established simulation base; outer ring: directions in development.