Effective spin physics in two-dimensional cavity QED arrays

We investigate a strongly correlated system of light and matter in two-dimensional cavity arrays. We formulate a multimode Tavis-Cummings (TC) Hamiltonian for two-level atoms coupled to cavity modes and driven by an external laser field which reduces to an effective spin Hamiltonian in the dispersiv...

Full description

Saved in:
Bibliographic Details
Published in:New journal of physics 2017-07, Vol.19 (6), p.63033
Main Authors: Minář, Jiří, Söyler, ebnem Güne, Rotondo, Pietro, Lesanovsky, Igor
Format: Article
Language:English
Subjects:
Arrays
cavity arrays
Computer simulation
Coupled modes
Dicke
Enumeration
Exact solutions
frustrated spin models
Graph coloring
ground states of spin systems
Jaynes-Cummings
Phase diagrams
Phase transitions
Physics
Quantum electrodynamics
quantum Monte Carlo
Tavis-Cummings models
Two dimensional analysis
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We investigate a strongly correlated system of light and matter in two-dimensional cavity arrays. We formulate a multimode Tavis-Cummings (TC) Hamiltonian for two-level atoms coupled to cavity modes and driven by an external laser field which reduces to an effective spin Hamiltonian in the dispersive regime. In one-dimension we provide an exact analytical solution. In two-dimensions, we perform mean-field study and large scale quantum Monte Carlo simulations of both the TC and the effective spin models. We discuss the phase diagram and the parameter regime which gives rise to frustrated interactions between the spins. We provide a quantitative description of the phase transitions and correlation properties featured by the system and we discuss graph-theoretical properties of the ground states in terms of graph colourings using Pólya's enumeration theorem.
ISSN:1367-2630
1367-2630
DOI:10.1088/1367-2630/aa753c