Digital Quantum Rabi and Dicke Models in Superconducting Circuits

2014/05/31 by A. Mezzacapo, Antonio Mezzacapo, U. Las Heras +6 · 118 citations
Computer Science · Physics and Astronomy · #Cavity quantum electrodynamics #Circuit quantum electrodynamics #Law #Open quantum system #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum and electron transport phenomena #Quantum circuit #Quantum computer #Quantum electrodynamics #Quantum error correction #Quantum mechanics #Rabi cycle #Rabi frequency #Unitary state #cond-mat.mes-hall #cond-mat.supr-con #quant-ph

paper · pdf · doi:10.1038/srep07482

published in Scientific Reports 4(1), 7482 (Nature Portfolio) · 5 pages, 3 figures. Published in Scientific Reports

arxiv created 2014/12/15 · openalex publication_date 2014/12/15 · arxiv updated 2014/12/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We propose the analog-digital quantum simulation of the quantum Rabi and Dicke models using circuit quantum electrodynamics (QED). We find that all physical regimes, in particular those which are impossible to realize in typical cavity QED setups, can be simulated via unitary decomposition into digital steps. Furthermore, we show the emergence of the Dirac equation dynamics from the quantum Rabi model when the mode frequency vanishes. Finally, we analyze the feasibility of this proposal under realistic superconducting circuit scenarios.

Citations

• Charge insensitive qubit design derived from the Cooper pair box
• Comparison of quantum and semiclassical radiation theories with application to the beam maser
• Dirac Equation and Quantum Relativistic Effects in a Single Trapped Ion
• Simulating quantum dynamics on a quantum computer
• On the Process of Space Quantization
• Cavity quantum electrodynamics for superconducting electrical circuits: An architecture for quantum computation
• Efficient Quantum Algorithms for Simulating Sparse Hamiltonians
• Fractal decomposition of exponential operators with applications to many-body theories and Monte Carlo simulations
• Universal Digital Quantum Simulation with Trapped Ions
• Observation of the Bloch-Siegert Shift in a Qubit-Oscillator System in the Ultrastrong Coupling Regime
• Simulating physics with computers

Cited by

• Electromechanical quantum simulators
• Experimental realization of the classical Dicke model
• Entanglement dynamics of the ultrastrong-coupling three-qubit Dicke model
• Analog Quantum Simulation of Dirac Hamiltonians in Circuit QED Using Rabi Driven Qubits