Tripartite quantum Rabi model with trapped Rydberg ions
arXiv:2312.14718 · doi:10.1103/PhysRevResearch.6.023223
Abstract
We investigate a tripartite quantum Rabi model (TQRM) wherein a bosonic mode concurrently couples to two spin- particles through a spin-spin interaction, resulting in a spin-spin-boson coupling -- a departure from conventional quantum Rabi models featuring bipartite spin-boson couplings. The symmetries of the TQRM depend on the detuning parameter, representing the energy difference between the spin states. At zero detuning a parity symmetry renders the TQRM reducible to a quantum Rabi model. A subradiant to superradiant transition in the groundstate is predicted as the tripartite coupling strength increases. For non-zero detuning the total spin emerges as the sole conserved quantity in the TQRM. It is found that superradiance prevails in the groundstate as long as the tripartite coupling remains non-zero. We derive the Braak -function of the TQRM analytically, with which the eigenspectra are obtained. The TQRM can be realized in a viable trapped Rydberg ion quantum simulator, where the required tripartite couplings and single body interactions in the TQRM are naturally present. Our study opens opportunities to explore and create novel correlations and entanglement in the spin and motional degrees of freedoms with the TQRM.
v1: 11 pages; 9 figures, v2: 13 pages; 10 figures (updated to reflect published version, content rearranged and extra details added in appendix on how to engineer correct interaction term with Rydberg ions)
References in corpus (73)
- Circuit Quantum Electrodynamics: Coherent Coupling of a Single Photon to a Cooper Pair Box
- Quantum information with Rydberg atoms
- Circuit Quantum Electrodynamics
- Hybrid quantum circuits: Superconducting circuits interacting with other quantum systems
- Ultrastrong coupling between light and matter
- Beyond the Jaynes-Cummings model: circuit QED in the ultrastrong coupling regime
- Microwave photonics with superconducting quantum circuits
- Effective quantum spin systems with ion traps
- On the Integrability of the Rabi Model
- Quantum dynamics of cold trapped ions, with application to quantum computation
- Quantum Phase Transition and Universal Dynamics in the Rabi model
- Qubit-oscillator systems in the ultrastrong-coupling regime and their potential for preparing nonclassical states
- Three-body forces: From cold atoms to nuclei
- Introduction to the Dicke model: from equilibrium to nonequilibrium, and vice versa
- Generalized rotating-wave approximation for arbitrarily large coupling
- Long-distance entanglement purification for quantum communication
- Exact solvability of the quantum Rabi models within Bogoliubov operators
- Beating the channel capacity limit for superdense coding with entangled ququarts
- The quantum Rabi model: solution and dynamics
- Observation of a quantum phase transition in the quantum Rabi model with a single trapped ion
- Effective Spin Quantum Phases in Systems of Trapped Ions
- Two-photon quantum Rabi model with superconducting circuits
- Quantum simulation of the quantum Rabi model in a trapped ion
- Hyper-parallel photonic quantum computation with coupled quantum dots
- SuperDense Teleportation using Hyperentangled Photons
- Observation of Three-Photon Spontaneous Parametric Downconversion in a Superconducting Parametric Cavity
- Analytical eigenstates for the quantum Rabi model
- Two-photon Rabi model: Analytic solutions and spectral collapse
- Trapped Rydberg Ions: From Spin Chains to Fast Quantum Gates
- Exact Solvability of the two-photon Rabi Hamiltonian
- Theoretical methods for ultrastrong light-matter interactions
- Emergence of multi-body interactions in few-atom sites of a fermionic lattice clock
- Alternative fidelity measure for quantum states
- Sub-microsecond entangling gate between trapped ions via Rydberg interaction
- Protected ultrastrong coupling regime of the two-photon quantum Rabi model with trapped ions
- Universal spectral features of ultrastrongly coupled systems
- PT-symmetric Rabi model: Perturbation theory
- Rydberg excitation of trapped cold ions: A detailed case study
- Long-range multi-body interactions and three-body anti-blockade in a trapped Rydberg ion chain
- Nonlinear Quantum Rabi Model in Trapped Ions
- Rydberg excitation of a single trapped ion
- On solvability and integrability of the Rabi model
- Electronically excited cold ion crystals
- Note on the Analytical Solution of the Rabi Model
- A single strontium Rydberg ion confined in a Paul trap
- Coherent Rabi dynamics of a superradiant spin ensemble in a microwave cavity
- Solution of the two-mode quantum Rabi model using extended squeezed states
- Entangling quantum gate in trapped ions via Rydberg blockade
- Exploring the many-body dynamics near a conical intersection with trapped Rydberg ions
- Analytical energy spectrum for hybrid mechanical systems
- Quantum phase transitions for an integrable quantum Rabi-like model with two interacting qubits
- Solutions to the quantum Rabi model with two equivalent qubits
- Parallel execution of quantum gates in a long linear ion chain via Rydberg mode shaping
- Defining the semiclassical limit of the quantum Rabi Hamiltonian
- Generalized coherent-squeezed-state expansion for the quantum Rabi model
- Non-Hermitian dynamics and -symmetry breaking in interacting mesoscopic Rydberg platforms
- Concise analytic solutions to the quantum Rabi model with two arbitrary qubits
- Entanglement resonance in the asymmetric quantum Rabi model
- Towards Rydberg quantum logic with trapped ions
- Observation of Supersymmetry and its Spontaneous Breaking in a Trapped Ion Quantum Simulator
- Trapped Rydberg ions: a new platform for quantum information processing
- Exploring non-equilibrium phases of the generalized Dicke model with a trapped Rydberg ion quantum simulator
- Digital Quantum Simulation of the Spin-Boson Model under Open System Dynamics
- PT-symmetric quantum Rabi model
- Searching for structure beyond parity in the two-qubit Dicke model
- Non-Gaussian superradiant transition via three-body ultrastrong coupling
- Simple variational ground state and pure cat state generation in the quantum Rabi model
- Robust Two-Qubit Gates Using Pulsed Dynamical Decoupling
- Characterizing Superradiant Phase of the Quantum Rabi Model
- Application of polaron picture in the two-qubit quantum Rabi model
- Determination of quantum defect for the Rydberg P series of Ca II
- Precision measurement of the ionization energy of a single trapped Ca ion by Rydberg series excitation
- Unified approach to the nonlinear Rabi models