Polariton spectrum of the Dicke-Ising model
arXiv:1707.03681 · doi:10.1103/PhysRevA.96.053861
Abstract
The Dicke-Ising model describes cavity quantum electrodynamics setups in which dipoles couple not only with the photonic cavity field but also to each other through dipole-dipole interaction. In this work we diagonalise such a model in terms of bosonic polaritonic operators for arbitrarily large values of the light-matter coupling and for values of the dipole-dipole interaction until the onset of the ferromagnetic Ising phase transition. In order to accomplish this task we exploit higher order terms of the Holstein-Primakoff transformation, developing a general method which allows to solve the normal phase of the Ising model in term of bosonic excitations for large values of the dipole-dipole interaction. Our results shed light on the interplay between the dipole-dipole and the light-matter coupling strengths, and their effect on the virtual excitations which populate the ground-state when the interactions become comparable with the bare transition frequency.
arXiv comment13 pages, 6 figures
References in corpus (32)
- Quantum Simulation
- Past Achievements and Future Challenges in 3D Photonic Metamaterials
- Coupling Superconducting Qubits via a Cavity Bus
- Beyond the Jaynes-Cummings model: circuit QED in the ultrastrong coupling regime
- Atomic physics and quantum optics using superconducting circuits
- Observation of the Bloch-Siegert Shift in a Qubit-Oscillator System in the Ultrastrong Coupling Regime
- Quantum vacuum properties of the intersubband cavity polariton field
- Superconducting qubit-oscillator circuit beyond the ultrastrong-coupling regime
- Time-reversal symmetry breaking in circuit-QED based photon lattices
- Photon Blockade in the Ultrastrong Coupling Regime
- Is there a no-go theorem for superradiant quantum phase transitions in cavity and circuit QED ?
- Vacuum Rabi splitting and strong coupling dynamics for surface plasmon polaritons and Rhodamine 6G molecules
- Circuit QED lattices: towards quantum simulation with superconducting circuits
- Quantum vacuum radiation spectra from a semiconductor microcavity with a time-modulated vacuum Rabi frequency
- Light-matter decoupling in the deep strong coupling regime: The breakdown of the Purcell effect
- A Single Photon Can Simultaneously Excite Two or More Atoms
- Spontaneous Conversion from Virtual to Real Photons in the Ultrastrong Coupling Regime
- Deterministic quantum nonlinear optics with single atoms and virtual photons
- Rabi model beyond the rotating wave approximation: generation of photons from vacuum through decoherence
- Virtual photons in the ground state of a dissipative system
- Stimulated scattering and lasing of intersubband cavity polaritons
- A qubit strongly-coupled to a resonant cavity: asymmetry of the spontaneous emission spectrum beyond the rotating wave approximation
- Observation of collective coupling between an engineered ensemble of macroscopic artificial atoms and a superconducting resonator
- Phase transitions in an Ising chain interacting with a single mode cavity field
- Quantum phases in circuit QED with a superconducting qubit array
- Vacuum-Induced Symmetry Breaking in a Superconducting Quantum Circuit
- Stability of polarizable materials against superradiant phase transition
- Implementation of pairwise longitudinal coupling in a three-qubit superconducting circuit
- Vacuum Rabi oscillation induced by virtual photons in the ultrastrong coupling regime
- Interacting spins in a cavity: finite size effects and symmetry-breaking dynamics
- Quantum phase transition of nonlocal Ising chain with transverse field in a resonator
- Laser from a Manybody Correlated Medium
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- Exact solution of polaritonic systems with arbitrary light and matter frequency-dependent losses
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- Linear response theory for cavity QED materials at arbitrary light-matter coupling strengths
- Bound polariton states in the Dicke-Ising model
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