Mainz 2026 – wissenschaftliches Programm
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Q: Fachverband Quantenoptik und Photonik
Q 28: Poster – Quantum Optics
Q 28.14: Poster
Dienstag, 3. März 2026, 17:00–19:00, Philo 2. OG
Self-consistent matter description of the Dicke-Ising chain — •Jonas Leibig, Max Hörmann, Anja Langheld, Andreas Schellenberger, and Kai Phillip Schmidt — Department of Physics, Staudtstraße 7, Friedrich-Alexander-Universität Erlangen-Nürnberg, Germany
The Dicke-Ising model admits an exact thermodynamic limit mapping to a self-consistent effective matter Hamiltonian [2], where the photon mode enters only as an effective transverse field. In our recent work [1], we apply this mapping and solve the resulting self-consistent spin model using a high-precision NLCE+DMRG approach. This allows us to obtain the thermodynamic-limit phase diagram in one dimension, resolving the ferromagnetic multicritical point with an accuracy of 10−4, and confirm the narrow antiferromagnetic superradiant phase.
References
[1] J. Leibig, M. Hörmann, A. Langheld, A. Schellenberger, and K. P. Schmidt, “Quantitative NLCE+DMRG approach for 1D Dicke-Ising models via self-consistent matter Hamiltonians’, to be published (2025).
[2] J. Román-Roche, Á. Gómez-León, F. Luis, and D. Zueco, “Linear response theory for cavity QED materials at arbitrary light–matter coupling strengths”, Physical Review B 111, 035156 (2025).
Keywords: Light-Matter Interaction; Quantum Phase Transition; Numerical linked-cluster expansion; Density matrix renormalization group; Dicke-Ising model