Photon blockade induced Mott transitions and XY spin models in coupled cavity arrays
arXiv:quant-ph/0606159 · doi:10.1103/PhysRevA.76.031805
Abstract
As photons do not interact with each other, it is interesting to ask whether photonic systems can be modified to exhibit the phases characteristic of strongly coupled many-body systems. We demonstrate how a Mott insulator type of phase of excitations can arise in an array of coupled electromagnetic cavities, each of which is coupled resonantly to a {\em single} two level system (atom/quantum dot/Cooper pair) and can be individually addressed from outside. In the Mott phase each atom-cavity system has the same integral number of net polaritonic (atomic plus photonic) excitations with photon blockade providing the required repulsion between the excitations in each site. Detuning the atomic and photonic frequencies suppresses this effect and induces a transition to a photonic superfluid. We also show that for zero detuning, the system can simulate the dynamics of many body spin systems.
4 pages, 3 figures
References in corpus (2)
Cited by in corpus (42)
- Strongly Interacting Polaritons in Coupled Arrays of Cavities
- Dephasing assisted transport: Quantum networks and biomolecules
- Quantum phase transitions of light
- Quantum Many-Body Phenomena in Coupled Cavity Arrays
- Crystallization of strongly interacting photons in a nonlinear optical fiber
- Mott-insulating and glassy phases of polaritons in 1D arrays of coupled cavities
- The quantum optical Josephson interferometer
- Fractional Quantum Hall State in Coupled Cavities
- Quantum super-cavity with atomic mirrors
- Superfluid-Mott Insulator Transition of Light in the Jaynes-Cummings Lattice
- Dynamics in a coupled-cavity array
- Strong coupling theory for the Jaynes-Cummings-Hubbard model
- Theory of ground state factorization in quantum cooperative systems
- Local controllability of quantum networks
- Quantum simulation of Fermi-Hubbard models in semiconductor quantum dot arrays
- Density Matrix Renormalization Group in the Heisenberg Picture
- Separability and ground state factorization in quantum spin systems
- Quantum Fluctuations, Temperature and Detuning Effects in Solid-Light Systems
- Towards a picosecond transform-limited nitrogen-vacancy based single photon source
- Heralded generation of entanglement with coupled cavities
- Quantum phase transitions in photonic cavities with two-level systems
- Excitation spectra of strongly correlated lattice bosons and polaritons
- Binary search trees for generalized measurement
- Simulation of high-spin Heisenberg models in coupled cavities
- Reproducing spin lattice models in strongly coupled atom-cavity systems
- Long-distance entanglement and quantum teleportation in coupled cavity arrays
- Population trapping due to cavity losses
- Quantum Phase Transitions of Light in the Dicke-Bose-Hubbard model
- Nested entangled states for distributed quantum channels
- Light-shift-induced photonic nonlinearities
- Atomic Entanglement vs Photonic Visibility for Quantum Criticality of Hybrid System
- Photon and polariton fluctuations in arrays of QED-cavities
- Entanglement Theory and the Quantum Simulation of Many-Body Physics
- Migration of bosonic particles across a Mott insulator to superfluid phase interface
- Quasi-angular momentum of Bose and Fermi gases in rotating optical lattices
- Random circuits by measurements on weighted graph states
- Spatial noise correlations of a chain of ultracold fermions - A numerical study
- Heisenberg chains cannot mirror a state
- High fidelity state transfer in binary tree spin networks
- Effective generation of Ising interaction and cluster states in coupled microcavities
- Spin chain model for correlated quantum channels
- Cluster state quantum computation in coupled cavity arrays