Fermionized photons in the ground state of one-dimensional coupled cavities

Abstract

The Density Matrix Renormalization Group algorithm is used to characterize the ground states of one-dimensional coupled cavities in the regime of low photon densities. Numerical results for photon and spin excitation densities, one- and two-body correlation functions, superfluid and condensate fractions, as well as the entanglement entropy and localizable entanglement are obtained for the Jaynes-Cummings-Hubbard (JCH) model, and are compared with those for the Bose-Hubbard (BH) model where applicable. The results indicate that a Tonks-Girardeau phase, in which the photons are strongly fermionized, appears between the Mott-insulating and superfluid phases as a function of the inter-cavity coupling. In fact, the superfluid density is found to be zero in a wide region outside the Mott-insulator phase boundary. The presence of two different species of excitation (spin and photon) in the JCH model gives rise to properties with no analog in the BH model, such as the (quasi)condensation of spin excitations and the spontaneous generation of entanglement between the atoms confined to each cavity.

17 pages, 11 figures

References in corpus (28)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• The density-matrix renormalization group in the age of matrix product states
• Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States
• Strongly Interacting Polaritons in Coupled Arrays of Cavities
• A class of quantum many-body states that can be efficiently simulated
• Quantum phase transitions of light
• The ALPS project release 1.3: open source software for strongly correlated systems
• Photon blockade induced Mott transitions and XY spin models in coupled cavity arrays
• Entanglement versus Correlations in Spin Systems
• Diverging Entanglement Length in Gapped Quantum Spin Systems
• Fragmentation of Bose-Einstein Condensates
• Pinning quantum phase transition for a Luttinger liquid of strongly interacting bosons
• Localizable Entanglement
• Mott-insulating and glassy phases of polaritons in 1D arrays of coupled cavities
• Applying matrix product operators to model systems with long-range interactions
• Fractional Bloch oscillations in photonic lattices
• Superfluid-Mott Insulator Transition of Light in the Jaynes-Cummings Lattice
• Effective spin systems in coupled micro-cavities
• On the phase transition of light in cavity QED lattices
• Spatial correlations of trapped 1d bosons in an optical lattice
• Strong coupling theory for the Jaynes-Cummings-Hubbard model
• Universal quantum computation with little entanglement
• Quantum Fluctuations, Temperature and Detuning Effects in Solid-Light Systems
• Quantum phase transitions in photonic cavities with two-level systems
• Excitation spectra of strongly correlated lattice bosons and polaritons
• Characterization of Mott-insulating and superfluid phases in the one-dimensional Bose--Hubbard model
• Dispersive regime of the Jaynes-Cummings and Rabi lattice
• Phase transition of light on complex quantum networks

Cited by in corpus (6)

• Supersolid and pair correlations of the extended Jaynes-Cummings-Hubbard model on triangular lattices
• Worm quantum Monte-Carlo study of phase diagram of extended Jaynes-Cummings-Hubbard model
• Quantum phase transition in a multiconnected Jaynes-Cummings lattice
• Uncontrolled disorder effects in fabricating photonic quantum simulators on a kagome geometry: A projected-entangled pair state versus exact digonalization analysis
• Dynamical dimerization phase in Jaynes-Cummings lattices
• Phase diagram of a QED-cavity array coupled via a N-type level scheme