Quantum interference and exceptional points

Abstract

Exceptional points (EPs), i.e. branch point singularities of non-Hermitian Hamiltonians, are ubiquitous in optics. So far, the signatures of EPs have been mostly studied assuming classical light. In the passive parity-time ($\mathcal{P}\mathcal{T}$) optical coupler, a fingerprint of EPs resulting from the coalescence of two resonance modes is a qualitative change of the photon decay law, from damped Rabi-like oscillations to transparency, as the EP is crossed by increasing the loss rate. However, when probed by non-classical states of light, quantum interference can hide EPs. Here it is shown that, under excitation with polarization-entangled two-photon states, EP phase transition is smoothed until to disappear as the effective particle statistics is changed from bosonic to fermionic.

arXiv comment5 figures

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Cited by in corpus (15)

• Exceptional Non-Abelian Topology in Multiband Non-Hermitian Systems
• Quantum Zeno effect and nonclassicality in a PT symmetric system of coupled cavities
• $\mathcal{P}\mathcal{T}$-symmetry from Lindblad dynamics in an optomechanical system
• Quantum correlations in $\mathcal{P}\mathcal{T}$-symmetric systems
• Non-Hermitian dynamics and $\mathcal{P}\mathcal{T}$-symmetry breaking in interacting mesoscopic Rydberg platforms
• Quantum statistical signature of $\mathcal{P}\mathcal{T}$ symmetry breaking
• Bosonic Mpemba effect with non-classical states of light
• Crossing exceptional points in non-Hermitian quantum systems
• Light transfer transitions beyond higher-order exceptional points in parity-time and anti-parity-time symmetric waveguide arrays
• Phase Transitions and Virtual Exceptional Points in Quantum Emitters Coupled to Dissipative Baths
• Revisit the Poynting vector in PT-symmetric coupled waveguides
• Dark-state photonic entanglement filters
• Enhancing parameter estimation precision in dissipative environment with two-photon driving
• Spatial Filtering with Nonlocal Non-Hermitian Metasurfaces
• A Passive $\mathcal{P}\mathcal{T}$-Symmetric Floquet-Coupler