Non-Markovian anti-parity-time symmetric systems: theory and experiment
arXiv:2201.04794 · doi:10.1038/s42005-023-01426-3
Abstract
Open systems with anti parity-time (anti -) or symmetry exhibit a rich phenomenology absent in their Hermitian counterparts. To date all model systems and their diverse realizations across classical and quantum platforms have been local in time, i.e. Markovian. Here we propose a non-Markovian system with anti--symmetry where a single time-delay encodes the memory, and experimentally demonstrate its consequences with two time-delay coupled semiconductor lasers. A transcendental characteristic equation with infinitely many eigenvalue pairs sets our model apart. We show that a sequence of amplifying-to-decaying dominant mode transitions is induced by the time delay in our minimal model. The signatures of these transitions quantitatively match results obtained from four, coupled, nonlinear rate equations for laser dynamics, and are experimentally observed as constant-width sideband oscillations in the laser intensity profiles. Our work introduces a new paradigm of non-Hermitian systems with memory, paves the way for their realization in classical systems, and may apply to time-delayed feedback-control for quantum systems.
arXiv comment6 pages, 3 figures (main), 2 pages, 1 figure (supplementary)
References in corpus (23)
- Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
- Nonreciprocal light transmission in parity-time-symmetric whispering-gallery microcavities
- Complex Extension of Quantum Mechanics
- Nonlinear waves in -symmetric systems
- Experimental Study of Active LRC Circuits with PT-Symmetries
- Physics and Applications of Laser Diode Chaos
- Observation of parity-time symmetry breaking transitions in a dissipative Floquet system of ultracold atoms
- Anti-Parity-Time Symmetric Optics via Flying Atoms
- Observation of parity-time symmetry breaking in a single spin system
- Quantum state tomography across the exceptional point in a single dissipative qubit
- Observation of PT phase transition in a simple mechanical system
- On the Mechanism of Time--Delayed Feedback Control
- Dynamically encircling an exceptional point in anti-PT-symmetric systems: asymmetric mode switching for symmetry-broken states
- Photonic Quantum Circuits with Time Delays
- Broadband chaos generated by an opto-electronic oscillator
- Synthetic parity-time symmetry breaking in a single microcavity
- Observation of PT-symmetric quantum interference
- Anti-Parity-Time Symmetric Optical Four-Wave Mixing in Cold Atoms
- Experimental realization of Floquet PT-symmetric systems
- Observation of anti-parity-time-symmetry, phase transitions and exceptional points in an optical fibre
- Optical waveguide arrays: quantum effects and PT symmetry breaking
- Solvable delay model for epidemic spreading: the case of Covid-19 in Italy
- Lambert function methods for laser dynamics with time-delayed feedback