Anti-Parity-Time Symmetric Optical Four-Wave Mixing in Cold Atoms

Abstract

Non-Hermitian optical systems with parity-time (PT) symmetry have recently revealed many intriguing prospects that outperform conservative structures. The prevous works are mostly rooted in complex arrangements with controlled gain-loss interplay. Here, we demonstrate anti-PT symmetry inherent in nonlinear optical interactions based upon forward optical four-wave mixing in a laser-cooled atomic ensemble with negligible linear gain and loss. We observe the pair of frequency modes undergo a nontrivial anti-PT phase transition between coherent power oscillation and optical parametric amplification in presence of a large phase mismatch.

arXiv comment5 pages, 5 figures

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• Quantum simulation of a general anti-PT-symmetric Hamiltonian with a trapped ion qubit
• Generalised quantum speed limit for arbitrary time-continuous evolution
• Experimental Observation of Partial Parity-Time Symmetry and Its Phase Transition with a Laser-Driven Cesium Atomic Gas
• Hermitian Nonlinear Wave Mixing Controlled by a PT-Symmetric Phase Transition
• Enhanced Frequency Conversion in Parity-Time Symmetry Line
• Enhancing the sensitivity of nonlinearity sensors through homodyne detection in dissipatively coupled systems
• Quantum Metrology with Higher-order Exceptional Points in Atom-cavity Magnonics
• Tunable Aharonov-Bohm cages through anti-$\mathcal{P}\mathcal{T}$-symmetric imaginary couplings
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• Behavior of solitary waves of coupled nonlinear Schrödinger equations subjected to complex external periodic potentials with anti-$\mathcal{P}\mathcal{T}$ symmetry
• Stability of time-periodic $\mathcal{P}\mathcal{T}$ and anti-$\mathcal{P}\mathcal{T}$-symmetric Hamiltonians with different periodicities
• Dynamic Control of Coupling Regimes in Oscillator Systems via Tunable Open Channels
• Manipulating spectral transitions and photonic transmission in a non-Hermitian optical system through nanoparticle perturbations
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• Floquet topological properties in the Non-Hermitian long-range system with complex hopping amplitudes