Effective spin physics in two-dimensional cavity QED arrays. (3rd July 2017)

• Record Type: Journal Article
• Authors: Minář, Jiří; Söyler, Şebnem Güneş; Rotondo, Pietro; Lesanovsky, Igor
• Is Part Of: New journal of physics. Volume 19:Number 6(2017:Jun.)
• Publication Date: 2017-07-03
• Subjects: cavity arrays -- ground states of spin systems -- frustrated spin models -- quantum Monte Carlo -- Dicke -- Jaynes–Cummings -- Tavis–Cummings models; Physics -- Periodicals; Physics; Periodicals; 530.05
• DOI: 10.1088/1367-2630/aa753c
• Languages: English
• ISSNs: 1367-2630

Abstract

Abstract: 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.