Is there a no-go theorem for superradiant quantum phase transitions in cavity and circuit QED ?

Abstract

In cavity quantum electrodynamics (QED), the interaction between an atomic transition and the cavity field is measured by the vacuum Rabi frequency ${\Omega }_0$. The analogous term "circuit QED" has been introduced for Josephson junctions, because superconducting circuits behave as artificial atoms coupled to the bosonic field of a resonator. In the regime with ${\Omega }_0$ comparable to the two-level transition frequency, "superradiant" quantum phase transitions for the cavity vacuum have been predicted, e.g. within the Dicke model. Here, we prove that if the time-independent light-matter Hamiltonian is considered, a superradiant quantum critical point is forbidden for electric dipole atomic transitions due to the oscillator strength sum rule. In circuit QED, the capacitive coupling is analogous to the electric dipole one: yet, such no-go property can be circumvented by Cooper pair boxes capacitively coupled to a resonator, due to their peculiar Hilbert space topology and a violation of the corresponding sum rule.

References in corpus (11)

• Circuit Quantum Electrodynamics: Coherent Coupling of a Single Photon to a Cooper Pair Box
• Cavity quantum electrodynamics for superconducting electrical circuits: an architecture for quantum computation
• The Dicke Quantum Phase Transition with a Superfluid Gas in an Optical Cavity
• Chaos and the Quantum Phase Transition in the Dicke Model
• Quantum vacuum properties of the intersubband cavity polariton field
• Proposed realization of the Dicke-model quantum phase transition in an optical cavity QED system
• Quantum Chaos Triggered by Precursors of a Quantum Phase Transition: The Dicke Model
• Vacuum degeneracy of a circuit-QED system in the ultrastrong coupling regime
• Optical properties of atomic Mott insulators: from slow light to dynamical Casimir effects
• Quantum Phase Transitions
• Energy protection arguments fail in the interaction picture

Cited by in corpus (230)

• Non-Hermitian Physics
• Ultrastrong coupling between light and matter
• Microwave photonics with superconducting quantum circuits
• Ultrastrong coupling regimes of light-matter interaction
• Superconducting qubit-oscillator circuit beyond the ultrastrong-coupling regime
• High-power collective charging of a solid-state quantum battery
• Introduction to the Dicke model: from equilibrium to nonequilibrium, and vice versa
• Black-box superconducting circuit quantization
• Circuit QED lattices: towards quantum simulation with superconducting circuits
• Cavity Quantum Materials
• Discrete Time-Crystalline Order in Cavity and Circuit QED Systems
• Light-matter decoupling in the deep strong coupling regime: The breakdown of the Purcell effect
• Resolution of Gauge Ambiguities in Ultrastrong-Coupling Cavity QED
• Dynamics of Nonequilibrium Dicke Models
• Experimentally simulating the dynamics of quantum light and matter at ultrastrong coupling
• Superradiant Phase Transitions and the Standard Description of Circuit QED
• Ultrafast charging in a two-photon Dicke quantum battery
• Breakdown of gauge invariance in ultrastrong-coupling cavity QED
• Superradiance transition in a system with a single qubit and a single oscillator
• Nonequilibrium Quantum Phase Transitions in the Dicke Model
• Quantum Electrodynamic Control of Matter: Cavity-Enhanced Ferroelectric Phase Transition
• Dicke Superradiance in Solids
• Analog quantum simulation of the Rabi model in the ultra-strong coupling regime
• Ultrastrong coupling phenomena beyond the Dicke model
• Cavity quantum electrodynamics in the non-perturbative regime
• Cavity QED of Strongly Correlated Electron Systems: A No-go Theorem for Photon Condensation
• Suppressing and restoring the Dicke superradiance transition by dephasing and decay
• Superradiant Quantum Materials
• Excited-State Quantum Phase Transitions in Dicke Superradiance Models
• Intersubband Polaritons in the Electrical Dipole Gauge
• Quantum Fisher information as signature of superradiant quantum phase transition
• Ultrastrong coupling between nanoparticle plasmons and cavity photons at ambient conditions
• On the phase transition of light in cavity QED lattices
• Implementation of the Dicke lattice model in hybrid quantum system arrays
• Theory of Photon Condensation in a Spatially-Varying Electromagnetic Field
• Elimination of the A-square problem from cavity QED
• Many-Body Quantum Electrodynamics Networks: Non-Equilibrium Condensed Matter Physics with Light
• Spectral Classification of Coupling Regimes in the Quantum Rabi Model
• Theoretical methods for ultrastrong light-matter interactions
• Comparative quantum and semi-classical analysis of Atom-Field Systems I: density of states and excited-state quantum phase transitions
• Cavity Quantum Electrodynamics at Arbitrary Light-Matter Coupling Strengths
• Ground State Electroluminescence
• Super-radiant phase transition in superconducting circuit in thermal equilibrium
• Superradiant phase transition in electronic systems and emergent topological phases
• Superradiant phase transition in the ultrastrong coupling regime of the two-photon Dicke model
• Superradiant and Lasing States in Driven-Dissipative Dicke Models
• Experimental Implementations of Cavity-Magnon Systems: from Ultra Strong Coupling to Applications in Precision Measurement
• Gauge ambiguities imply Jaynes-Cummings physics remains valid in ultrastrong coupling QED
• Entanglement and quantum superposition induced by a single photon
• The Free Electron Gas in Cavity Quantum Electrodynamics
• Dicke coupling by feasible local measurements at the superradiant quantum phase transition
• Characteristic spectra of circuit quantum electrodynamics systems from the ultrastrong- to the deep-strong-coupling regime
• Polariton condensation with saturable molecules dressed by vibrational modes
• Universal spectral features of ultrastrongly coupled systems
• Gauge Fixing for Strongly Correlated Electrons coupled to Quantum Light
• Rashba cavity QED: a route towards the superradiant quantum phase transition
• Adequacy of the Dicke model in cavity QED: a counter-"no-go" statement
• Ultra-strong photon-to-magnon coupling in multilayered heterostructures involving superconducting coherence via ferromagnetic layers
• Quantum phases in circuit QED with a superconducting qubit array
• Drude weight, cyclotron resonance, and the Dicke model of graphene cavity QED
• Polaritonic non-locality in ultrastrong light-matter coupling
• Cavity QED of the graphene cyclotron transition
• Observation of scalable and deterministic multi-atom Dicke states in an atomic vapor
• Single-Photon-Triggered Quantum Phase Transition
• Cavity-assisted mesoscopic transport of fermions: Coherent and dissipative dynamics
• Phase transitions and dark-state physics in two-color superradiance
• On the Superradiant Phase in Field-Matter Interactions
• Gauge invariance of the Dicke and Hopfield models
• Implications of gauge freedom for nonrelativistic quantum electrodynamics
• Excited-state phase transition leading to symmetry-breaking steady states in the Dicke model
• Solution of the Dicke model for N=3
• Critical Quantum Metrology with Fully-Connected Models: From Heisenberg to Kibble-Zurek Scaling
• Ancillary qubit spectroscopy of cavity (circuit) QED vacua
• Observation of a superradiant phase transition with emergent cat states
• Vacuum-Induced Symmetry Breaking in a Superconducting Quantum Circuit
• Exploring the quantum critical behaviour in a driven Tavis-Cummings circuit
• Quantum Floquet engineering with an exactly solvable tight-binding chain in a cavity
• Ultrastrong Magnon-Photon Coupling Achieved by Magnetic Films in Contact with Superconducting Resonators
• Stability of polarizable materials against superradiant phase transition
• Long-lasting Quantum Memories: Extending the Coherence Time of Superconducting Artificial Atoms in the Ultrastrong-Coupling Regime
• Landau polaritons in highly non-parabolic 2D gases in the ultra-strong coupling regime
• Superradiant phase transitions with three-level systems
• Approaching to the deep-strong photon-to-magnon coupling
• Uniqueness of the Phase Transition in Many-Dipole Cavity Quantum Electrodynamical Systems
• Light-matter decoupling and $A^2$ term detection in superconducting circuits
• Dicke simulators with emergent collective quantum computational abilities
• Photon Condensation and Enhanced Magnetism in Cavity QED
• Comment on "Superradiant Phase Transitions and the Standard Description of Circuit QED"
• Hybrid quantum magnetism in circuit-QED: from spin-photon waves to many-body spectroscopy
• Digital-analog quantum simulation of generalized Dicke models with superconducting circuits
• Adiabatic quantum metrology with strongly correlated quantum optical systems
• Ultrastrong coupling dynamics with a transmon qubit
• Origin and Implications of $A^2$-like Contribution in the Quantization of Circuit-QED Systems
• Spectroscopy and critical quantum thermometry in the ultrastrong coupling regime
• Harvesting Multiqubit Entanglement from Ultrastrong Interactions in Circuit Quantum Electrodynamics
• Switchable Superradiant Phase Transition with Kerr Magnons
• Fundamental limitation of ultrastrong coupling between light and atoms
• Dissipation-induced bistability in the two-photon Dicke model
• Programmable entanglement oscillations in a non Markovian channel
• Effective theory of lattice electrons strongly coupled to quantum electromagnetic fields
• Quantum supercapacitors
• Depolarization shift of the superradiant phase transition
• Superradiant phase transition in a model of three-level-lambda systems interacting with two bosonic modes
• Synchronized Switching in a Josephson Junction Crystal
• Nonperturbative Waveguide Quantum Electrodynamics
• Approximated integrability of the Dicke model
• Solutions to the quantum Rabi model with two equivalent qubits
• Phase Transition in the periodically pulsed Dicke Model
• Quantum theory of intersubband polarons
• Critical quantum sensing based on the Jaynes-Cummings model with a squeezing drive
• A non-perturbative no-go theorem for photon condensation in approximate models
• System-environment coupling derived by Maxwell's boundary conditions from weak to ultrastrong light-matter coupling regime
• Spin-boson quantum phase transition in multilevel superconducting qubits
• Recurrent delocalization and quasi-equilibration of photons in coupled circuit QED systems
• Quantum simulation of ultrastrongly coupled bosonic modes using superconducting circuits
• Circuit configurations which can/cannot show super-radiant phase transitions
• Heisenberg Uncertainty Principle as Probe of Entanglement Entropy: Application to Superradiant Quantum Phase Transitions
• Simulating accelerated atoms coupled to a quantum field
• Signatures of the $A^2$ term in ultrastrongly-coupled oscillators
• Engineering First-Order Quantum Phase Transitions for Weak Signal Detection
• Quantum simulation of multiphoton and nonlinear dissipative spin-boson models
• Probing the diamagnetic term in light-matter interaction
• Generalized classes of continuous symmetries in two-mode Dicke models
• Observation of the Magnonic Dicke Superradiant Phase Transition
• Dissipation and detection of polaritons in ultrastrong coupling regime
• Performance boost of a collective qutrit refrigerator
• Conventional and unconventional Dicke models: Multistabilities and nonequilibrium dynamics
• Strong and ultra-strong coupling with free space radiation
• Adiabatic invariants for the regular region of the Dicke model
• Resilience of the quantum Rabi model in circuit QED
• Critical light-matter entanglement at cavity mediated phase transition
• Superconducting qubits beyond the dispersive regime
• Atom-only theories for U(1) symmetric cavity-QED models
• Exact quantization of superconducting circuits
• Polariton spectrum of the Dicke-Ising model
• Cavity magnonics with easy-axis ferromagnet: Critically enhanced magnon squeezing and light-matter interaction
• Identifying the order of a quantum phase transition by means of Wehrl entropy in phase-space
• Resilience of the superradiant phase against ${\mathbf{A}}^2$ effects in the quantum Rabi dimer
• Polaritonic Quantum Matter
• Ultrastrong-coupling quantum-phase-transition phenomena in a few-qubit circuit QED system
• Action-angle coherent states for quantum systems with cylindric phase space
• Collective Suppression of Linewidths in Circuit QED
• Ground state in the finite Dicke model for interacting qubits
• Cavity Induced Collective Behavior in the Polaritonic Ground State
• Multielectron Ground State Electroluminescence
• Universal Characterisation of Cavity--Magnon Polariton Coupling Strength Verified in Modifiable Microwave Cavity
• Thermodynamics and Superradiant Phase Transitions in a three-level Dicke Model
• Dynamical exciton condensates in biased electron-hole bilayers
• Nonlinear two-photon Rabi-Hubbard model: superradiance and photon/photon-pair Bose-Einstein condensate
• Non-Gaussian superradiant transition via three-body ultrastrong coupling
• Interplay of quantum phase transition and flat band in hybrid lattices
• Two-photon Rabi-Hubbard and Jaynes-Cummings-Hubbard models: photon pair superradiance, Mott insulator and normal phases
• Superradiant Phase Transition in the Strong Coupling Regime
• Cavity engineering of Hubbard $U$ via phonon polaritons
• Finite temperature Dicke phase transition of a Bose-Einstein condensate in an optical cavity
• Robust quantum correlations in out-of-equilibrium matter-light systems
• Multimode Ultrastrong Coupling in Three-Dimensional Photonic-Crystal Cavities
• Quantum Monte Carlo Study of the Rabi-Hubbard Model
• Dark vertical conductance of cavity-embedded semiconductor heterostructures
• Theory of magnon-polaritons in quantum Ising materials
• Electroluminescence caused by the transport of interacting electrons through parallel quantum dots in a photon cavity
• Quantum phase transition of light in a 1-D photon-hopping-controllable resonator array
• Superradiance phase transition in the presence of parameter fluctuations
• Superluminal Physics with Superconducting Circuit Technology
• Double symmetry breaking and 2D quantum phase diagram in spin-boson systems
• Photon condensation, Van Vleck paramagnetism, and chiral cavities
• Electromagnetic Proximity Effect: Superconducting Magnonics and Beyond
• Quantum statistics of the collective excitations of an atomic ensemble inside a cavity
• Quantum Hysteresis in Coupled Light-Matter Systems
• Superradiant phase transitions in the quantum Rabi model: Overcoming the no-go theorem through anisotropy
• Perspectives for gapped bilayer graphene polaritonics
• Quantum phase transitions and cat states in cavity-coupled quantum dots
• Superradiant Quantum Phase transition for Landau Polaritons with Rashba and Zeeman couplings
• A Mathematical Analysis of Dressed Photon in Ground State of Generalized Quantum Rabi Model Using Pair Theory
• First order dipolar phase transition in the Dicke model with infinitely coordinated frustrating interaction
• Cavity induced chiral edge currents and spontaneous magnetization in two-dimensional electron systems
• A semiclassical analysis of dark state transient dynamics in waveguide circuit QED
• Controlling the superradiant phase transition in the quantum Rabi model
• Dynamic phase transitions of a driven Ising chain in a dissipative cavity
• Pulsed Generation of Quantum Coherences and Non-classicality in Light-Matter Systems
• Large dynamic light-matter entanglement from driving neither too fast nor too slow
• Description of ultrastrong light-matter interaction through coupled harmonic oscillator models and their connection with cavity-QED Hamiltonians
• Understanding polaritonic chemistry from ab initio quantum electrodynamics
• Superradiance of cold atoms coupled to a superconducting circuit
• Stability and decay of subradiant patterns in a quantum gas with photon-mediated interactions
• Phase Transitions in the Anisotropic Dicke-Stark Model with $A$-square terms
• Cavity polariton in a quasi-lattice of qubits and its selective radiation
• Chaos in circuit QED: decoherence, localization, and nonclassicality
• Coherent Plasma in a Lattice
• Non-equilibrium dynamics of the Dicke model for mesoscopic aggregates: signatures of superradiance
• Lee-Yang theory of the superradiant phase transition in the open Dicke model
• A triple point in 3-level systems
• Phase transitions with finite atom number in the Dicke Model
• Quantum phase transition of nonlocal Ising chain with transverse field in a resonator
• Quantum Phase Transitions in Many-Dipole Light-Matter Systems
• Universality class and exact phase boundary in the superradiant phase transition
• Quantum Electrodynamics of graphene Landau levels in a deep-subwavelength hyperbolic phonon polariton cavity
• Terahertz Strong-Field Physics without a Strong External Terahertz Field
• Quantum phase diagrams of Dicke-Ising models by a wormhole algorithm
• Possibility of superradiant phase transitions in coupled two-level atoms
• Self-induction and magnetic effects in electron transport through a photon cavity
• Correspondence between Dicke-model semiclasscial dynamics in the superradiant dipolar phase and the Euler heavy top
• Exploring global symmetry-breaking superradiant phase via phase competition
• Theory of photon condensation in an arbitrary gauge condensed matter cavity model
• Dynamics of Entanglement and the Schmidt Gap in a Driven Light-Matter System
• Quantum phases transition revealed by the exceptional point in Hopfield-Bogoliubov matrix
• Quantum phase transition in the one-dimensional Dicke-Hubbard model with coupled qubits
• Cooperative phase transitions in the system of photons and dye molecules
• Localization and spectrum of quasiparticles in a disordered fermionic Dicke model
• Magnonic Superradiant Phase Transition
• Projection Hypothesis from the von Neumann-type Interaction with a Bose-Einstein Condensate
• Phase Transitions in Light-Matter Systems for Quantum Sensing
• Quantum entanglement and Einstein-Podolsky-Rosen steering in ultrastrongly light-matter coupled system
• Electron-photon coupling in Mesoscopic Quantum Electrodynamics
• Projection hypothesis in the setting for the quantum Jarzynski equality
• Dissipation and non-thermal states in cryogenic cavities
• Strain induced coupling and quantum information processing with hexagonal boron nitride quantum emitters
• Quantum Criticality in the Biased Dicke Model
• Heisenberg-Langevin Formalism For Open Circuit-QED Systems
• Controlling the nonadiabatic electron-transfer reaction rate through molecular-vibration polaritons in the ultrastrong coupling regime
• Spontaneous Symmetry Breaking of Cavity Vacuum and Emergent Gyrotropic Effects in Embedded moiré Superlattices
• Hierarchic superradiant phases in anisotropic Dicke model
• Cavity Control of Topological Qubits: Fusion Rule, Anyon Braiding, and Majorana-Schrödinger Cat States
• Collective modes for helical edge state interacting with quantum light
• Behavior of quantum coherence in the ultrastrong and deep strong coupling regimes of light-matter system
• Emergence of Rich Dissipative Phases in the Anisotropic Quantum Rabi Model Driven by the $A^2$ Term
• Bimodal phase transition in a periodically modulated $\Lambda$-type three-level system
• Experimental quantum simulation of superradiant phase transition beyond no-go theorem via antisqueezing
• Amplified response of cavity-coupled quantum-critical systems
• Superradiant Quantum Phase Transition in Open Systems: System-Bath Interaction at the Critical Point