PT symmetry and spontaneous symmetry breaking in a microwave billiard

Abstract

We demonstrate the presence of parity-time (PT) symmetry for the non-Hermitian two-state Hamiltonian of a dissipative microwave billiard in the vicinity of an exceptional point (EP). The shape of the billiard depends on two parameters. The Hamiltonian is determined from the measured resonance spectrum on a fine grid in the parameter plane. After applying a purely imaginary diagonal shift to the Hamiltonian, its eigenvalues are either real or complex conjugate on a curve, which passes through the EP. An appropriate basis choice reveals its PT symmetry. Spontaneous symmetry breaking occurs at the EP.

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Cited by in corpus (181)

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• Observation of parity-time symmetry breaking in a single spin system
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• PT-Symmetry in Non-Hermitian Su-Schrieffer-Heeger model with complex boundary potentials
• Mixed-state evolution in the presence of gain and loss
• Integrable $\mathcal{P}T$-symmetric local and nonlocal vector nonlinear Schrödinger equations: a unified two-parameter model
• Breaking Anti-$\mathcal{P}\mathcal{T}$ Symmetry by Spinning a Resonator
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• Perspective on topological states of non-Hermitian lattices
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• Twofold Transition in PT-Symmetric Coupled Oscillators
• Pseudo Parity-Time Symmetry in Optical Systems
• Effective spontaneous PT-symmetry breaking in hybridized metamaterials
• Giant nonlinearity via breaking parity-time symmetry: a route to low-threshold phonon diodes
• Non-Hermitian Hamiltonians and no-go theorems in quantum information
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• Observation of an exceptional point in a non-Hermitian metasurface
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• $\mathcal{P}\mathcal{T}$-symmetric circuit-QED
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• Breaking of PT-symmetry in bounded and unbounded scattering systems
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• Stationary states of a PT-symmetric two-mode Bose-Einstein condensate
• PT-symmetric photonic quantum systems with gain and loss do not exist
• Hermitian four-well potential as a realization of a PT-symmetric system
• Consistency of PT-symmetric quantum mechanics
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• Coherent optical control of polarization with a critical metasurface
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• Non-Hermitian Dynamic Strings and Anomalous Topological Degeneracy on non-Hermitian Toric-code Model with Parity-time Symmetry
• Nonlinear quantum dynamics in a PT-symmetric double well
• Perturbation Theory in the Complex Plane: Exceptional Points and Where to Find Them
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• Quantum catastrophes: a case study
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• PT-symmetric feedback induced linewidth narrowing
• Unitarity corridors to exceptional points
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• Exactly solvable time-dependent pseudo-Hermitian $su$(1,1) Hamiltonian models
• The Bulk-boundary Correspondence in Non-Hermitian Hopf-link Exceptional Line Semimetals
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• Mixed states driven by Non-Hermitian Hamiltonians of a nuclear spin ensemble
• Emergence of Exceptional Points in Periodic Metastructures with Hidden PT-symmetric Defects
• Probing eigenfunction nonorthogonality by parametric shifts of resonance widths
• Nonuniqueness of the C operator in PT-symmetric quantum mechanics
• Missing level statistics in a dissipative microwave resonator with partially violated time-reversal invariance
• Parity-Time Synthetic Laser
• Dynamical evolution of an effective two-level system with PT symmetry
• Universal spectral behavior of $x^2(ix{)}^{\epsilon }$ potentials
• Interplay between nonclassicality and $\mathcal{P}\mathcal{T}$ symmetry in an effective two level system with open system effects
• $\mathcal{P}\mathcal{T}$-symmetric currents of a Bose-Einstein condensate in a triple well
• Universal scaling at a pre-thermal dark state
• Unitarity through PT symmetry in Quantum Quadratic Gravity
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• Demonstration of a Tunable Non-Hermitian Nonlinear Microwave Dimer
• Frozen Mode Regime in an Optical Waveguide With Distributed Bragg Reflector
• Third Order Modal Exceptional Degeneracy in Waveguides with Glide-Time Symmetry
• Imaginary spin-orbital coupling in parity-time symmetric systems with momentum-dependent gain and loss
• Protection of quantum evolutions under parity-time symmetric non-Hermitian Hamiltonians by dynamical decoupling
• Manifestation of Superposition and Coherence in $\mathcal{P}\mathcal{T}$-symmetry through the $\eta$-inner Product
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• Time evolution and adiabatic approximation in $PT$-symmetric quantum mechanics
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• $\mathcal{P}\mathcal{T}-$Symmetric Two-Level Open Quantum Systems: Information Theoretic Facets
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• The $\mathcal{P}\mathcal{T}$-symmetry-breaking transition in a chain of trapped interacting ions
• Quantization of pseudo-hermitian systems
• Computing eigenfunctions and eigenvalues of boundary value problems with the orthogonal spectral renormalization method
• Complex analysis of divergent perturbation theory at finite temperature
• The operational foundations of PT-symmetric and quasi-Hermitian quantum theory
• Beyond characteristic equations: A unified one-dimensional non-Bloch band theory via wavefunction data