Nodes and Spin Windings for Topological Transitions in Light-Matter Interactions: \\ Anisotropic Quantum Rabi Model as a Born Abstract Artist

Abstract

By extracting different levels of topological information a new light is shed on the energy spectrum of the anisotropic quantum Rabi model (QRM) which is the fundamental model of light-matter interactions with indispensable counter-rotating terms in ultra-strong couplings. Besides conventional topological transitions (TTs) at gap closing, abundant unconventional TTs including a particular one universal for different energy levels are unveiled underlying level anticrossings without gap closing by tracking the wave-function nodes. On the other hand, it is found that the nodes have a correspondence to spin windings, which not only endows the nodes a more explicit topological character in supporting single-qubit TTs but also turns the topological information physically detectable. Furthermore, hidden small-spin-knot transitions are exposed for the ground state, while more kinds of spin-knot transitions emerge in excited states including unmatched node numbers and spin winding numbers. As a surprise, frequently the spin windings produce portraits in high spiritual similarity with abstract artistic works, which demonstrates that the anisotropic QRM may be the Picasso of physical models. This signifies that art is joining the dialogue between mathematics and physics which was triggered by the milestone work of revealing integrability of the QRM.

17 pages, 12 figures

References in corpus (34)

• Quantized Anomalous Hall Effect in Magnetic Topological Insulators
• Beyond the Jaynes-Cummings model: circuit QED in the ultrastrong coupling regime
• Microwave photonics with superconducting quantum circuits
• Observation of the Bloch-Siegert Shift in a Qubit-Oscillator System in the Ultrastrong Coupling Regime
• Deep Strong Coupling Regime of the Jaynes-Cummings model
• Exact Mapping of the 2+1 Dirac Oscillator onto the Jaynes-Cummings Model: Ion-Trap Experimental Proposal
• Dynamical Creation of Fractionalized Vortices and Vortex Lattices
• The quantum Rabi model: solution and dynamics
• Criticality-Enhanced Quantum Sensing via Continuous Measurement
• First order character and observable signatures of topological quantum phase transitions
• Some remarks on 'superradiant' phase transitions in light-matter systems
• Integrability vs exact solvability in the quantum Rabi and Dicke models
• Electronic materials with nanoscale curved geometries
• Fate of photon blockade in the deep strong coupling regime
• Analytical method of spectra calculations in the Bargmann representation
• Exact real-time dynamics of the quantum Rabi model
• Universality classes of topological phase transitions with higher-order band crossing
• Critical Quantum Metrology in the Non-Linear Quantum Rabi Model
• An exactly solvable system from quantum optics
• Generalized squeezing rotating-wave approximation to the isotropic and anisotropic Rabi model in the ultrastrong-coupling regime
• The hidden symmetry of the asymmetric quantum Rabi model
• Hidden symmetry and tunnelling dynamics in asymmetric quantum Rabi models
• Exponential precision by reaching a quantum critical point
• Quantum phase transitions for an integrable quantum Rabi-like model with two interacting qubits
• Symmetry breaking patterns, tricriticalities and quadruple points in quantum Rabi model with bias and nonlinear interaction
• Remarks on the hidden symmetry of the asymmetric quantum Rabi model
• Defining the semiclassical limit of the quantum Rabi Hamiltonian
• Evolution of Berry curvature and reentrant quantum anomalous Hall effect in an intrinsic magnetic topological insulator
• Simulating Anisotropic quantum Rabi model via frequency modulation
• Mean photon number dependent variational method to the Rabi model
• Entanglement resonance in the asymmetric quantum Rabi model
• Hidden Single-Qubit Topological Phase Transition without Gap Closing in Anisotropic Light-Matter Interactions
• Scaling Relations and Topological Quadruple Points in Light-matter Interactions with Anisotropy and Nonlinear Stark Coupling
• From quantum Rabi model to Jaynes-Cummings model: symmetry-breaking quantum phase transitions, topological phase transitions and multicriticalities

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• Universal quantum Fisher information and simultaneous occurrence of Landau-class and topological-class transitions in non-Hermitian Jaynes-Cummings models
• Spin Winding and Topological Nature of Transitions in Jaynes-Cummings Model with Stark Non-linear Coupling
• Quantum Fisher information and polaron picture for identification of transition coupling in quantum Rabi model
• Critical quantum metrology in a stabilized two-photon Rabi model
• Combining Squeezing and Transition Sensitivity Resources for Quantum Metrology by Asymmetric Non-Linear Rabi model
• Globalized Nonlinear Critical Quantum Metrology by Two-photon Rabi-Stark model
• Upgrading Quantum Metrology by Combined Sensitivity Resources in Mixed Linear-Nonlinear Light-Matter Interactions with Bias Field
• Exotic Quantum States in Spin-1 Bose-Einstein Condensate with Spin-Orbit Coupling in Concentric Annular Traps
• A Kaleidoscope of Topological Structures in Dipolar Bose-Einstein Condensates with Weyl-Like Spin-Orbit Coupling in Anharmonic Trap