Quantum phase transition in a multiconnected Jaynes-Cummings lattice
arXiv:1702.01922 · doi:10.1103/PhysRevB.96.174502
Abstract
The rapid progress in quantum technology enables the implementation of artificial many-body systems with correlated photons and polaritons. A multiconnected Jaynes-Cummings (MCJC) lattice can be constructed by connecting qubits and cavities alternatively. Such kind of models can be realized with superconducting qubits coupled to superconducting microwave resonators or with quantum dots coupled to optical nanocavities. We study physical properties of the one-dimensional MCJC lattice using the density-matrix renormalization group method. This model has an intrinsic symmetry between the left and right qubit-cavity couplings. The competition between these couplings may drive the ground state either to a Mott-insulating or to a superfluid phase at an integer filling. We calculate the single-particle and density-density correlation functions, the correlation lengths in the Mott-insulating phase and the Luttinger parameters in the superfluid phase, and determine accurately the critical points that separate these two phases.
8 pages, 8 figures
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- State Preparation in a Jaynes-Cummings Lattice with Quantum Optimal Control
- Quantum Shortcut to Adiabaticity for State Preparation in a Finite-Sized Jaynes-Cummings Lattice
- Dynamical dimerization phase in Jaynes-Cummings lattices
- Controlling correlations of a polaritonic Luttinger liquid by engineered cross-Kerr nonlinearity