D03 - Competing interactions in strongly correlated light-matter assemblies

Summary

We investigate the quantum cooperativity of strongly correlated light-matter systems in the presence of spatially competing and frustrated matter-matter interactions. The quantized transverse-field Ising model being the sum of a matter-matter Ising interaction and a quantum Rabi (Dicke) Hamiltonian constitutes a work horse of this project. We determine the ground-state properties including the superradiant quantum phase transition as well as the relevance of geometry in finite light-matter assemblies. Further, the non-equilibrium properties including the cooperative light emission are investigated when frustrated light-matter assemblies are driven and display photon losses.

Project Leaders

Kai Phillip Schmidt

Vice Speaker / Project leader C02/D03/MGK

Friedrich-Alexander-Universität Erlangen-Nürnberg

Staudtstraße 7
91058 Erlangen

Phone number: +49 9131 85-28443
Email: kai.phillip.schmidt@fau.de

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Publications

2025

Adelhardt P., Duft A., Schmidt KP.:
Quantum-critical and dynamical properties of the XXZ bilayer with long-range interactions
In: Physical Review B 111 (2025), Article No.: 024409
ISSN: 0163-1829
DOI: 10.1103/PhysRevB.111.024409

2024

Adelhardt P., Koziol J., Langheld A., Schmidt KP.:
Monte Carlo Based Techniques for Quantum Magnets with Long-Range Interactions
In: Entropy 26 (2024), p. 401
ISSN: 1099-4300
DOI: 10.3390/e26050401
Duft A., Koziol J., Adelhardt P., Mühlhauser M., Schmidt KP.:
Order-by-disorder in the antiferromagnetic J1-J2-J3 transverse-field Ising model on the ruby lattice
In: Physical Review Research 6 (2024), Article No.: 033339
ISSN: 2643-1564
DOI: 10.1103/PhysRevResearch.6.033339

2023

Adelhardt P., Schmidt KP.:
Continuously varying critical exponents in long-range quantum spin ladders
In: SciPost Physics 15 (2023), Article No.: 087
ISSN: 2542-4653
DOI: 10.21468/SciPostPhys.15.3.087
Baßler N., Reitz M., Schmidt KP., Genes C.:
Linear optical elements based on cooperative subwavelength emitter arrays
In: Optics Express 31 (2023), p. 6003-6026
ISSN: 1094-4087
DOI: 10.1364/OE.476830
Hörmann M., Schmidt KP.:
Projective cluster-additive transformation for quantum lattice models
In: SciPost Physics 15 (2023), Article No.: 097
ISSN: 2542-4653
DOI: 10.21468/SciPostPhys.15.3.097
Koziol J., Duft A., Morigi G., Schmidt KP.:
Systematic analysis of crystalline phases in bosonic lattice models with algebraically decaying density-density interactions
In: SciPost Physics 14 (2023), Article No.: 136
ISSN: 2542-4653
DOI: 10.21468/SciPostPhys.14.5.136
Lenke L., Schellenberger A., Schmidt KP.:
Series expansions in closed and open quantum many-body systems with multiple quasiparticle types
In: Physical Review A 108 (2023), Article No.: 013323
ISSN: 1050-2947
DOI: 10.1103/PhysRevA.108.013323
Rohn J., Schmidt KP., Genes C.:
Classical phase synchronization in dissipative non-Hermitian coupled systems
In: Physical Review A 108 (2023), Article No.: 023721
ISSN: 1050-2947
DOI: 10.1103/PhysRevA.108.023721

2022

Langheld A., Koziol J., Adelhardt P., Kapfer S., Schmidt KP.:
Scaling at quantum phase transitions above the upper critical dimension
In: SciPost Physics 13 (2022), Article No.: 088
ISSN: 2542-4653
DOI: 10.21468/SciPostPhys.13.4.088
Schamriss L., Lenke L., Mühlhauser M., Schmidt KP.:
Quantum phase transitions in the K-layer Ising toric code
In: Physical Review B 105 (2022)
ISSN: 0163-1829
DOI: 10.1103/PhysRevB.105.184425

2021

Koziol J., Langheld A., Kapfer S., Schmidt KP.:
Quantum-critical properties of the long-range transverse-field Ising model from quantum Monte Carlo simulations
In: Physical Review B 103 (2021)
ISSN: 0163-1829
DOI: 10.1103/PhysRevB.103.245135
Lenke L., Mühlhauser M., Schmidt KP.:
High-order series expansion of non-Hermitian quantum spin models
In: Physical Review B 104 (2021), Article No.: 195137
ISSN: 0163-1829
DOI: 10.1103/PhysRevB.104.195137

D03 – Competing interactions in strongly correlated light-matter assemblies