Quantum mechanics has forever changed our understanding of reality with its extraordinarily precise predictive power. In stark contrast to classical systems, quantum mechanics allows for significantly stronger statistical correlations between the system’s constituents. Such quantum correlations are the basis of recent progress in quantum computing, quantum communication and quantum information theory as well as a better understanding of quantum criticality. In our work we study the emerging correlations of interacting quantum systems with exact mappings as well as with Monte Carlo and Renormalization Group techniques. The results of the project have both fundamental and technological impact.
Related Publications
- R. T. C. Chepuri and I. A. Kovács (2023) Complex quantum network models from spin clusters, Communications Physics, 6, 271 [arXiv]
- T. Pető, F. Iglói and I. A. Kovács (2023) Random Ising chain in transverse and longitudinal fields: Strong disorder RG study, Condensed Matter Physics,vol. 26, No. 1, 13101. Special issue – Complexity and collective behaviour: Solids, Fields, and Data (dedicated to Betrand Berche on his 60th birthday) [arXiv]
- J. P. Moutinho, A. Melo, B.C. Coutinho, I. A. Kovács and Y. Omar (2023) Quantum Link Prediction in Complex Networks, Phys. Rev. A 107, 032605 [arXiv]
- J. S. Zou, H. S. Ansell and I. A. Kovács (2022) Multipartite entanglement in the random Ising chain, Phys. Rev. B 106, 054201 [arXiv]
- I. A. Kovács (2022) Quantum multicritical point in the two- and three-dimensional random transverse-field Ising model, Phys. Rev. Research 4, 013072 [arXiv]
- I. A. Kovács and F. Iglói (2022) Geometry of rare regions behind Griffiths singularities in random quantum magnets, Scientific Reports 12, 1074 [arXiv] [Research Square]
- I. A. Kovács, T. Pető and F. Iglói (2021) Extreme statistics of the excitations in the random transverse Ising chain, Phys. Rev. Research 3, 033140 [arXiv]
- I. A. Kovács and R. Juhász (2020) Emergence of disconnected clusters in heterogeneous complex systems, Scientific Reports 10, 21874 [arXiv]
- G. Roósz, I. A. Kovács and F. Iglói (2020) Entanglement entropy of random partitioning, Eur. Phys. J. B 93:8 [arXiv]
- F. Iglói and I. A. Kovács (2018) Transverse-spin correlations of the random transverse-field Ising model, Phys. Rev. B 97, 094205 [arXiv]
- R. Juhász, I. A. Kovács, G. Roósz and F. Iglói (2017) Entanglement between random and clean quantum spin chains, J. Phys. A: Math. Theor, 50 324003 [arXiv]
- I. A. Kovács, R. Juhász and F. Iglói (2016) Long-range random transverse-field Ising model in three dimensions, Phys. Rev. B 93 184203 [arXiv]
- R. Juhász, I. A. Kovács and F. Iglói (2014) Random transverse-field Ising chain with long-range interactions, Europhysics Letters 107 47008 (editor’s choice) [arXiv]
- F. Iglói and I. Kovács (2014) Végtelenül rendezetlen kritikus viselkedés Fizikai Szemle. 2014/11. p. 366-371 (in hungarian, “Infinitely disordered critical behavior”)
- I. A. Kovács and F. Iglói (2013) Boundary critical phenomena of the random transverse Ising model in D>=2 dimensions, Phys. Rev. B 87 024204 [arXiv]
- I. Kovács (2013) ‘Infinitely Disordered Critical Behavior in Higher Dimensional Quantum Systems’ Ph. D. dissertation, Supervisor: Prof. Ferenc Iglói, consultant: Prof. emer. Péter Szépfalusy, Eötvös Loránd University of Sciences (ELTE), Wigner RCP SZFKI, Budapest, Hungary
- I. A. Kovács and F. Iglói (2012) Universal logarithmic terms in the entanglement entropy of 2d, 3d and 4d random transverse-field Ising models, Europhysics Letters 97 67009 [arXiv]
- I. A. Kovács and F. Iglói (2011) Renormalization group study of random quantum magnets, J. Phys.: Condens. Matter 23 404204 [arXiv]
- I. A. Kovács and F. Iglói (2011) Infinite-disorder scaling of random quantum magnets in three and higher dimensions Phys. Rev. B 83, 174207 [arXiv]
- I. A. Kovács and F. Iglói (2010) Renormalization group study of the two-dimensional random transverse-field Ising model Phys. Rev. B 82, 054437 [arXiv]
- I. A. Kovács and F. Iglói (2009) Critical behavior and entanglement of the random transverse-field Ising model between one and two dimensions Phys. Rev. B 80, 214416 [arXiv]
- M. Karsai, I. A. Kovács, J-Ch. Angles d’Auriac and F. Iglói (2008) Density of critical clusters in strips of strongly disordered systems Phys. Rev E 78 061109 [arXiv]
- F. Iglói and I. A. Kovács (2008) Griffiths-McCoy singularities in random quantum spin chains: Exact results Phys. Rev. B 77 144203 [arXiv]