Quantum phase transition of the Jaynes-Cummings model

Abstract

Herein, we propose an experimentally feasible scheme to show the quantum phase transition of the Jaynes-Cummings (JC) model by modulating the transition frequency of a two-level system in a quantum Rabi model with strong coupling. By tuning the modulation frequency and amplitude, the ratio of the effective coupling strength of the rotating terms to the effective cavity (atomic transition) frequency can enter the deep-strong coupling regime, while the counter-rotating terms can be neglected. Thus, a deep-strong JC model is obtained. The ratio of the coupling strength to resonance frequencies in the deep-strong JC model is two orders of magnitude larger than the corresponding ratio in the original quantum Rabi model. Our scheme can be employed in atom-cavity resonance and off-resonance cases, and it is valid over a broad range. The nonzero average cavity photons of the ground state indicate the emergence of a quantum phase transition. Further, we demonstrate the dependence of the phase diagram on the atom-cavity detuning and modulation parameters. All the parameters used in our scheme are within the reach of current experimental technology. Our scheme provides a new mechanism for investigating the critical phenomena of finite-sized systems without requiring classical field limits, thereby opening a door for studying fundamental quantum phenomena occurring in the ultrastrong and even deep-strong coupling regimes.

arXiv comment8 pages, 5 figures

References in corpus (35)

• Circuit Quantum Electrodynamics: Coherent Coupling of a Single Photon to a Cooper Pair Box
• Circuit Quantum Electrodynamics
• Ultrastrong coupling regimes of light-matter interaction
• Quantum phase transitions of light
• Coherent dynamics of a flux qubit coupled to a harmonic oscillator
• Superconducting qubit-oscillator circuit beyond the ultrastrong-coupling regime
• Quantum Phase Transition and Universal Dynamics in the Rabi model
• Exploring Symmetry Breaking at the Dicke Quantum Phase Transition
• Dynamical phase transition in the open Dicke model
• Vacuum Rabi oscillations in a macroscopic superconducting qubit LC oscillator system
• Terahertz light-matter interaction beyond unity coupling strength
• Exploring dynamical phase transitions with cold atoms in an optical cavity
• Superradiance transition in a system with a single qubit and a single oscillator
• Observation of a quantum phase transition in the quantum Rabi model with a single trapped ion
• Nonequilibrium Quantum Phase Transitions in the Dicke Model
• Universal scaling and critical exponents of the anisotropic quantum Rabi model
• Strong Coupling of a Quantum Oscillator to a Flux Qubit at its Symmetry Point
• Dissipative Phase Transition in the Open Quantum Rabi Model
• Quantum Phase Transition in the Finite Jaynes-Cummings Lattice Systems
• Motional Averaging in a Superconducting Qubit
• On the phase transition of light in cavity QED lattices
• Dissipation-induced anomalous multicritical phenomena
• Universal spectral features of ultrastrongly coupled systems
• Quantum tricriticality of chiral-coherent phase in quantum Rabi triangle
• Observation of a superradiant phase transition with emergent cat states
• Understanding the quantum Rabi ring using analogies to quantum magnetism
• Vacuum Measurements and Quantum State Reconstruction of Phonons
• Ultrastrong Jaynes-Cummings Model
• Manipulating counter-rotating interactions in the quantum Rabi model via qubit frequency modulation
• Dynamic sensitivity of phton-dressed atomic ensenmble with quantum criticality
• Approaching ultra-strong coupling in Transmon circuit-QED using a high-impedance resonator
• Signatures of Dissipation Driven Quantum Phase Transition in Rabi Model
• Deterministic generation of multi-photon bundles in a quantum Rabi model
• Superradiant Phase Transition in the Strong Coupling Regime
• Quantum phase transition in a multiconnected Jaynes-Cummings lattice

Cited by in corpus (11)

• Generating three-photon Rabi oscillations without a large-detuning condition
• Nonreciprocal quantum phase transition in cavity magnonics
• Universal quantum Fisher information and simultaneous occurrence of Landau-class and topological-class transitions in non-Hermitian Jaynes-Cummings models
• Critical quantum metrology in a stabilized two-photon Rabi model
• Controlling the superradiant phase transition in the quantum Rabi model
• Combining Squeezing and Transition Sensitivity Resources for Quantum Metrology by Asymmetric Non-Linear Rabi model
• Upgrading Quantum Metrology by Combined Sensitivity Resources in Mixed Linear-Nonlinear Light-Matter Interactions with Bias Field
• Globalized Nonlinear Critical Quantum Metrology by Two-photon Rabi-Stark model
• Nonreciprocal superradiant quantum phase transition induced by the magnon Kerr effect
• Meissner-Like Currents of Photons in Anomalous Superradiant Phases
• Bimodal phase transition in a periodically modulated $\Lambda$-type three-level system