Dispersive regime of the Jaynes-Cummings and Rabi lattice
arXiv:1307.2505 · doi:10.1088/1367-2630/15/11/115002
Abstract
Photon-based strongly-correlated lattice models like the Jaynes-Cummings and Rabi lattices differ from their more conventional relatives like the Bose-Hubbard model by the presence of an additional tunable parameter: the frequency detuning between the pseudo-spin degree of freedom and the harmonic mode frequency on each site. Whenever this detuning is large compared to relevant coupling strengths, the system is said to be in the dispersive regime. The physics of this regime is well-understood at the level of a single Jaynes-Cummings or Rabi site. Here, we extend the theoretical description of the dispersive regime to lattices with many sites, for both strong and ultra-strong coupling. We discuss the nature and spatial range of the resulting qubit-qubit and photon-photon coupling, demonstrate the emergence of photon- pairing and squeezing, and illustrate our results by exact diagonalization of the Rabi dimer.
22 pages, 7 figures, 1 table, Published by NJP, Focus Issues "Focus on Quantum Microwave Field Effects in Superconducting Circuits"
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- Quantum tricriticality of chiral-coherent phase in quantum Rabi triangle
- Incompressible polaritons in a flat band
- Experimental Realization of the Rabi-Hubbard Model with Trapped Ions
- Hybrid quantum magnetism in circuit-QED: from spin-photon waves to many-body spectroscopy
- Large Random Arrowhead Matrices: Multifractality, Semi-Localization, and Protected Transport in Disordered Quantum Spins Coupled to a Cavity
- Lifetime renormalization of weakly anharmonic superconducting qubits: I. Role of number non-conserving terms
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- Resummation for Nonequilibrium Perturbation Theory and Application to Open Quantum Lattices
- Observation of Non-Markovian Spin Dynamics in a Jaynes-Cummings-Hubbard Model using a Trapped-Ion Quantum Simulator
- Superconducting grid-bus surface code architecture for hole-spin qubits
- Recurrent delocalization and quasi-equilibration of photons in coupled circuit QED systems
- Critical Theory for the Breakdown of Photon Blockade
- Hardware-efficient fermionic simulation with a cavity-QED system
- Instantaneous braids and Dehn twists in topologically ordered states
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- Invariant approach to the Driven Jaynes-Cummings model
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- Probing few-excitation eigenstates of interacting atoms on a lattice by observing their collective light emission in the far field
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