Effective Field Theories and Finite-temperature Properties of Zero-dimensional Superradiant Quantum Phase Transitions
arXiv:2309.06738 · doi:10.1103/PhysRevResearch.6.023123
Abstract
The existence of zero-dimensional superradiant quantum phase transitions seems inconsistent with conventional statistical physics. This work clarifies this apparent inconsistency. We demonstrate the corresponding effective field theories and finite-temperature properties of light-matter interacting systems, and show how this zero-dimensional quantum phase transition occurs. We first focus on the Rabi model, which is a minimum model that hosts a superradiant quantum phase transition. With the path integral method, we derive the imaginary-time action of the photon degrees of freedom. We also define a dynamical critical exponent as the rescaling between the temperature and the photon frequency, and perform dimensional analysis to the effective action. The dynamical critical exponent shows that the effective theory of the Rabi model is a free scalar field, where a true second-order quantum phase transition emerges. These results are also verified by numerical simulations of imaginary-time correlation functions of the order parameter. Furthermore, we also generalize this method to the Dicke model. Our results make the zero-dimensional superradiant quantum phase transition compatible with conventional statistical physics, and pave the way to understand it in the perspective of effective field theories.
arXiv comment11 pages, 3 figures
References in corpus (45)
- Ultrastrong coupling between light and matter
- Beyond the Jaynes-Cummings model: circuit QED in the ultrastrong coupling regime
- Continuous Quantum Phase Transitions
- Ultrastrong coupling regimes of light-matter interaction
- Chaos and the Quantum Phase Transition in the Dicke Model
- Superconducting qubit-oscillator circuit beyond the ultrastrong-coupling regime
- Quantum Chaos Triggered by Precursors of a Quantum Phase Transition: The Dicke Model
- Deep Strong Coupling Regime of the Jaynes-Cummings model
- Entanglement and the Phase Transition in Single Mode Superradiance
- Ultrastrong coupling of a single artificial atom to an electromagnetic continuum in the nonperturbative regime
- 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
- Photon Blockade in the Ultrastrong Coupling Regime
- Ultrastrong coupling regime of cavity QED with phase-biased flux qubits
- Light-matter decoupling in the deep strong coupling regime: The breakdown of the Purcell effect
- Resolution of Gauge Ambiguities in Ultrastrong-Coupling Cavity QED
- Mott-insulating and glassy phases of polaritons in 1D arrays of coupled cavities
- Breakdown of gauge invariance in ultrastrong-coupling cavity QED
- 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
- Switchable ultrastrong coupling in circuit QED
- Universal scaling and critical exponents of the anisotropic quantum Rabi model
- Ultrastrong coupling phenomena beyond the Dicke model
- Dissipative Phase Transition in the Open Quantum Rabi Model
- Quantum Fisher information as signature of superradiant quantum phase transition
- On the phase transition of light in cavity QED lattices
- Anisotropic Rabi model
- Probing the Dynamics of Superradiant Quantum Phase Transition in a Single Trapped-Ion
- Entanglement and Entropy in a Spin-Boson Quantum Phase Transition
- Single-photon-driven high-order sideband transitions in an ultrastrongly coupled circuit quantum electrodynamics system
- Cutting Feynman Loops in Ultrastrong Cavity QED: Stimulated Emission and Reabsorption of Virtual Particles Dressing a Physical Excitation
- Observation of a superradiant phase transition with emergent cat states
- Unified Superradiant phase transitions
- Thermodynamics of ultrastrongly coupled light-matter systems
- Gauge freedom, quantum measurements, and time-dependent interactions in cavity and circuit QED
- Gauge Principle and Gauge Invariance in Two-Level Systems
- Gauge Principle and Gauge Invariance in Quantum Two-Level Systems
- Entanglement of a qubit with a single oscillator mode
- Quantum Phase Transitions in Optomechanical Systems
- Effective theory for matter in non-perturbative cavity QED
- Regimes of Cavity-QED under Incoherent Excitation: From Weak to Deep Strong Coupling
- Signatures of Dissipation Driven Quantum Phase Transition in Rabi Model
- Sudden change of the photon output field marks phase transitions in the quantum Rabi model
- Relaxation breakdown and resonant tunneling in ultrastrong-coupling cavity QED
- Photon condensation, Van Vleck paramagnetism, and chiral cavities