Digital Quantum Rabi and Dicke Models in Superconducting Circuits

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.

5 pages, 3 figures. Published in Scientific Reports

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Cited by in corpus (13)

• Microwave photonics with superconducting quantum circuits
• Digital quantum simulation of spin models with circuit quantum electrodynamics
• Integrability vs exact solvability in the quantum Rabi and Dicke models
• Digital-analog quantum simulation of generalized Dicke models with superconducting circuits
• Emergent Universality in a Quantum Tricritical Dicke Model
• Approximated integrability of the Dicke model
• Fermionic Models with Superconducting Circuits
• Simulating Anisotropic quantum Rabi model via frequency modulation
• Deterministic nonlinear gates with oscillators mediated by a qubit
• Squeezed displaced entangled states in the quantum Rabi model
• Low-temperature environments for quantum computation and quantum simulation
• Critical phenomena in light-matter systems with collective matter interactions
• Quantum simulations of light-matter interactions in arbitrary coupling regimes