Effective spin physics in two-dimensional cavity QED arrays

被引：1
作者：
Minar, Jiri [1 ,2 ]
Soyler, Sebnem Gunes [1 ,2 ]
Rotondo, Pietro [1 ,2 ]
Lesanovsky, Igor [1 ,2 ]
机构：
[1] Univ Nottingham, Sch Phys & Astron, Nottingham NG7 2RD, England
[2] Univ Nottingham, Ctr Theoret Phys & Math Quantum Nonequilibrium Sy, Nottingham NG7 2RD, England
来源：
NEW JOURNAL OF PHYSICS | 2017年 / 19卷
基金：
欧洲研究理事会;
关键词：
cavity arrays; ground states of spin systems; frustrated spin models; quantum Monte Carlo; Dicke; Jaynes-Cummings; Tavis-Cummings models; MATRIX PRODUCT STATES; QUANTUM MONTE-CARLO; MANY-BODY PHENOMENA; PHASE-TRANSITION; RADIATION-FIELD; MODEL;
D O I：
10.1088/1367-2630/aa753c
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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 Polya's enumeration theorem.
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页数：18
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