Superradiant Phase is a Finite Size Effect in Two-photon Processes
arXiv:2601.19986 · doi:10.1103/syq9-z93n
Abstract
Two-photon light-matter interactions exhibit distinctive features such as spectral collapse. The two-photon Dicke model has been reported to exhibit a superradiant phase which could be useful in quantum applications. Here we show that this superradiant phase is not a genuine thermodynamic phase but a finite-size effect. Combining analytical and numerical analyses, we demonstrate that the superradiant region shrinks with increasing system size and disappears in the thermodynamic limit, while spectral collapse remains. Our results clarify the nature of superradiant conditions in two-photon systems and constrain its realization in quantum platforms.
7 pages, 3 figures, 1 supplemental material
References in corpus (37)
- Quantum sensing
- Quantum Simulation
- Chaos and the Quantum Phase Transition in the Dicke Model
- Quantum Chaos Triggered by Precursors of a Quantum Phase Transition: The Dicke Model
- Measuring the scrambling of quantum information
- Entanglement and the Phase Transition in Single Mode Superradiance
- Coherent and Collective Quantum Optical Effects in Mesoscopic Systems
- Verified Quantum Information Scrambling
- Introduction to the Dicke model: from equilibrium to nonequilibrium, and vice versa
- Ultrafast charging in a two-photon Dicke quantum battery
- Universality of Dicke superradiance in arrays of quantum emitters
- Two-photon quantum Rabi model with superconducting circuits
- Excited-State Quantum Phase Transitions in Dicke Superradiance Models
- Spectral collapse via two-phonon interactions in trapped ions
- Many-body Signatures of Collective Decay in Atomic Chains
- Two-photon Rabi model: Analytic solutions and spectral collapse
- Comparative quantum and semi-classical analysis of Atom-Field Systems I: density of states and excited-state quantum phase transitions
- Two-photon lasing by a single quantum dot in a high-Q microcavity
- Superradiant phase transition in the ultrastrong coupling regime of the two-photon Dicke model
- Comparative quantum and semi-classical analysis of Atom-Field Systems II: Chaos and regularity
- Quantum metrology with a quantum-chaotic sensor
- Review: Quantum Metrology and Sensing with Many-Body Systems
- Dicke superradiance in ordered lattices: dimensionality matters
- Emergent dark states from superradiant dynamics in multilevel atoms in a cavity
- Classical chaos in atom-field systems
- Many-body superradiance and dynamical mirror symmetry breaking in waveguide QED
- Dynamics of the Dicke model close to the classical limit
- Dicke superradiance in ordered arrays of multilevel atoms
- Spectral Collapse in the two-photon quantum Rabi model
- Superradiance in Inverted Multi-level Atomic Clouds
- Dissipation-induced bistability in the two-photon Dicke model
- Finite-size scaling analysis in the two-photon Dicke model
- Dark-like states for the multi-qubit and multi-photon Rabi models
- Effect of system energy on quantum signatures of chaos in the two-photon Dicke model
- Unraveling Dicke Superradiant Decay with Separable Coherent Spin States
- Stark-induced tunable phase transition in the two-photon Dicke-Stark model
- Loss of integrability in a system with two-photon interactions