Engineering Photon Delocalization in a Rabi Dimer with a Dissipative Bath

Abstract

A Rabi dimer is used to model a recently reported circuit quantum electrodynamics system composed of two coupled transmission-line resonators with each coupled to one qubit. In this study, a phonon bath is adopted to mimic the multimode micromechanical resonators and is coupled to the qubits in the Rabi dimer. The dynamical behavior of the composite system is studied by the Dirac-Frenkel time-dependent variational principle combined with the multiple Davydov D${}_2$ ansätze. Initially all the photons are pumped into the left resonator, and the two qubits are in the down state coupled with the phonon vacuum. In the strong qubit-photon coupling regime, the photon dynamics can be engineered by tuning the qubit-bath coupling strength $\alpha$ and photon delocalization is achieved by increasing $\alpha$. In the absence of dissipation, photons are localized in the initial resonator. Nevertheless, with moderate qubit-bath coupling, photons are delocalized with quasiequilibration of the photon population in two resonators at long times. In this case, high frequency bath modes are activated by interacting with depolarized qubits. For strong dissipation, photon delocalization is achieved via frequent photon-hopping within two resonators and the qubits are suppressed in their initial down state.

arXiv comment11 pages, 11 figures

References in corpus (84)

• Circuit Quantum Electrodynamics: Coherent Coupling of a Single Photon to a Cooper Pair Box
• Cavity quantum electrodynamics for superconducting electrical circuits: an architecture for quantum computation
• Quantum Simulation
• Quantum fluids of light
• Hybrid quantum circuits: Superconducting circuits interacting with other quantum systems
• Theory of Photon Blockade by an Optical Cavity with One Trapped Atom
• 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
• Microwave photonics with superconducting quantum circuits
• Strongly Interacting Polaritons in Coupled Arrays of Cavities
• Superconducting Circuits and Quantum Information
• Resolving photon number states in a superconducting circuit
• On the Integrability of the Rabi Model
• Observation of the Bloch-Siegert Shift in a Qubit-Oscillator System in the Ultrastrong Coupling Regime
• Natural and artificial atoms for quantum computation
• Superconducting qubit-oscillator circuit beyond the ultrastrong-coupling regime
• Single photons from coupled quantum modes
• On the origin of strong photon antibunching in weakly nonlinear photonic molecules
• Synchronization of Micromechanical Oscillators Using Light
• Observation of Resonant Photon Blockade at Microwave Frequencies using Correlation Function Measurements
• Dissipation and Ultrastrong Coupling in Circuit QED
• Photon Blockade in the Ultrastrong Coupling Regime
• Circuit QED lattices: towards quantum simulation with superconducting circuits
• Hybrid circuit cavity quantum electrodynamics with a micromechanical resonator
• Nonlinear response of the vacuum Rabi resonance
• Quantum simulations and many-body physics with light
• Multimode circuit optomechanics near the quantum limit
• Single-photon cavity optomechanics mediated by a quantum two-level system
• Quantum Zeno effect by general measurements
• The quantum Rabi model: solution and dynamics
• The quantum optical Josephson interferometer
• Quantum limited amplification and entanglement in coupled nonlinear resonators
• A Single Photon Can Simultaneously Excite Two or More Atoms
• Qubit-induced phonon blockade as a signature of quantum behavior in nanomechanical resonators
• Strong Coupling of a Quantum Oscillator to a Flux Qubit at its Symmetry Point
• Deterministic quantum nonlinear optics with single atoms and virtual photons
• Multiphoton Quantum Rabi Oscillations in Ultrastrong Cavity QED
• Phonon-assisted transitions from quantum dot excitons to cavity photons
• Modelling exciton-phonon interactions in optically driven quantum dots
• Non-equilibrium dynamics of coupled qubit-cavity arrays
• Method for observing robust and tunable phonon blockade in a nanomechanical resonator coupled to a charge qubit
• Non-equilibrium delocalization-localization transition of photons in circuit QED
• Kerr nonlinear coupler and entanglement
• Two-dimensional cavity grid for scalable quantum computation with superconducting circuits
• Holonomic quantum computation in the ultrastrong-coupling regime of circuit QED
• Electromagnetically induced transparency and tunable fano resonances in hybrid optomechanics
• Quantum Phase Transition in the Sub-Ohmic Spin-Boson Model: Extended Coherent-state Approach
• Fast, accurate simulation of polaron dynamics and multidimensional spectroscopy by multiple Davydov trial states
• Quantum entanglement in the spatial symmetry breaking phase transition of a driven-dissipative Bose-Hubbard dimer
• Fate of photon blockade in the deep strong coupling regime
• Variational dynamics of the sub-Ohmic spin-boson model on the basis of multiple Davydov ${\mathrm{D}}_1$ states
• Dynamics of Davydov Ansatze
• Two-mode optical state truncation and generation of maximally entangled states in pumped nonlinear couplers
• Tunable and Switchable Coupling Between Two Superconducting Resonators
• Polaron dynamics with a multitude of Davydov D${}_2$ trial states
• Quantum Zeno effects from measurement controlled qubit-bath interactions
• Photonic Josephson effect, phase transitions, and chaos in optomechanical systems
• Finite-temperature time-dependent variation with multiple Davydov states
• Excitonic energy transfer in light-harvesting complexes in purple bacteria
• Fully coupled hybrid cavity optomechanics: quantum interferences and correlations
• Variational study of a two-level system coupled to a harmonic oscillator in a ultrastrong coupling regime
• Microscopic theory of indistinguishable single-photon emission from a quantum dot coupled to a cavity: The role of non-Markovian phonon-induced decoherence
• Measurements of nanoresonator-qubit interactions in a hybrid quantum electromechanical system
• Entangling polaritons via dynamical Casimir effect in circuit quantum electrodynamics
• Polaron dynamics with off-diagonal coupling: beyond the Ehrenfest approximation
• Microwave detection of electron-phonon interactions in a cavity-coupled double quantum dot
• Counter-polarized single-photon generation from the auxiliary cavity of a weakly nonlinear photonic molecule
• Multi-output microwave single-photon source using superconducting circuits with longitudinal and transverse couplings
• Observing pure effects of counter-rotating terms without ultrastrong coupling: A single photon can simultaneously excite two qubits
• Effect of off-diagonal exciton-phonon coupling on intramolecular singlet fission
• Dynamics of dissipative Landau-Zener transitions
• Transient dynamics of a one-dimensional Holstein polaron under the influence of an external electric field
• Quantum anti-Zeno effect without wave function reduction
• Controllable coupling between a nanomechanical resonator and a coplanar-waveguide resonator via a superconducting flux qubit
• Metastability in the driven-dissipative Rabi model
• Recurrent delocalization and quasi-equilibration of photons in coupled circuit QED systems
• Suppression of Rabi oscillations in hybrid optomechanical systems
• Influence of electron-phonon scattering for an on-demand quantum dot single-photon source using cavity-assisted adiabatic passage
• Ultrafast Depopulation of a Quantum Dot by LA-phonon-assisted Stimulated Emission
• Influence of phonons on solid-state cavity-QED investigated using nonequilibrium Green's functions
• Stabilization of collapse and revival dynamics by a non-Markovian phonon bath
• Dynamics of coherence, localization and excitation transfer in disordered nanorings
• Selftrapping triggered by losses in cavity QED

Cited by in corpus (4)

• Photon-assisted Landau-Zener transitions in a periodically driven Rabi dimer coupled to a dissipative mode
• Dissipative dynamics in a tunable Rabi dimer with periodic harmonic driving
• Dynamics of dissipative Landau-Zener transitions in an anisotropic three-level system
• Photon-assisted Landau Zener transitions in a tunable driven Rabi dimer coupled to a micromechanical resonator