scholarly journals Supersymmetric analysis of the Dirac-Weyl operator within PT symmetry

2014 ◽  
Vol 55 (8) ◽  
pp. 082106 ◽  
Author(s):  
Özlem Yeşiltaş
Keyword(s):  
Pt Symmetry ◽  
Weyl Operator

PT-symmetry in optics

2014 ◽  
Vol 184 (11) ◽  
pp. 1177-1198 ◽  
Author(s):  
A.A. Zyablovsky ◽  
Aleksei P. Vinogradov ◽  
Aleksandr A. Pukhov ◽  
A.V. Dorofeenko ◽  
A.A. Lisyansky
Keyword(s):  
Pt Symmetry

scholarly journals Coupling-Independent Real-Time Wireless Resistive Sensing Through Nonlinear PT Symmetry

2020 ◽  
Vol 14 (6) ◽  
Author(s):  
Siavash Kananian ◽  
George Alexopoulos ◽  
Ada S.Y. Poon
Keyword(s):  
Real Time ◽  
Pt Symmetry

scholarly journals Quantum Zeno effects across a parity-time symmetry breaking transition in atomic momentum space

2021 ◽  
Vol 7 (1) ◽  
Author(s):  
Tao Chen ◽  
Wei Gou ◽  
Dizhou Xie ◽  
Teng Xiao ◽  
Wei Yi ◽  
...  
Keyword(s):  
Symmetry Breaking ◽  
State Of The Art ◽  
Cold Atom ◽  
Pt Symmetry ◽  
Level System ◽  
Flexible Control ◽  
Time Symmetry ◽  
Symmetry Phase ◽  
Lattice Quantum ◽  
Atomic Momentum

AbstractWe experimentally study quantum Zeno effects in a parity-time (PT) symmetric cold atom gas periodically coupled to a reservoir. Based on the state-of-the-art control of inter-site couplings of atoms in a momentum lattice, we implement a synthetic two-level system with passive PT symmetry over two lattice sites, where an effective dissipation is introduced through repeated couplings to the rest of the lattice. Quantum Zeno (anti-Zeno) effects manifest in our experiment as the overall dissipation of the two-level system becoming suppressed (enhanced) with increasing coupling intensity or frequency. We demonstrate that quantum Zeno regimes exist in the broken PT symmetry phase, and are bounded by exceptional points separating the PT symmetric and PT broken phases, as well as by a discrete set of critical coupling frequencies. Our experiment establishes the connection between PT-symmetry-breaking transitions and quantum Zeno effects, and is extendable to higher dimensions or to interacting regimes, thanks to the flexible control with atoms in a momentum lattice.

scholarly journals $\mathcal{PT}$ symmetry of the Su–Schrieffer–Heeger model with imaginary boundary potentials and next-nearest-neighboring coupling

2020 ◽  
Vol 32 (16) ◽  
pp. 165401 ◽  
Author(s):  
Xue-Si Li ◽  
Ze-Zhong Li ◽  
Lian-Lian Zhang ◽  
Wei-Jiang Gong
Keyword(s):  
Pt Symmetry

scholarly journals Topologically protected optical signal processing using parity–time-symmetric oscillation quenching

Nanophotonics ◽  
2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Sunkyu Yu ◽  
Xianji Piao ◽  
Namkyoo Park
Keyword(s):  
Signal Processing ◽  
Degrees Of Freedom ◽  
Quantum Hall ◽  
Optical Signal ◽  
Pt Symmetry ◽  
Coupled Systems ◽  
Fermi Surfaces ◽  
Topological States ◽  
Topological Geometry ◽  
Quenching Mechanisms

Abstract The concept of topology is universally observed in various physical objects when the objects can be described by geometric structures. Although a representative example is the knotted geometry of wavefunctions in reciprocal space for quantum Hall family and topological insulators, topological states have also been defined for other physical quantities, such as topologically distinct Fermi surfaces and enhanced lattice degrees of freedom in hyperbolic geometry. Here, we investigate a different class of topological states – topological geometry of dynamical state trajectories – in non-Hermitian and nonlinear optical dynamics, revealing topologically protected oscillation quenching mechanisms determined by parity–time (PT) symmetry. For coupled systems composed of nonlinear gain and loss elements, we classify the topology of equilibria separately for unbroken and broken PT symmetry, which result in distinct oscillation quenching mechanisms: amplitude death and oscillation death. We then show that these PT-symmetric quenching mechanisms lead to immunity against temporal perturbations, enabling the applications of topologically protected laser modulation and rectification. The observed connection between the topological geometry of dynamical states, oscillation quenching phenomena in dynamical systems theory, and PT symmetry provides a powerful toolkit for noise-immune signal processing.

Nonlinear Control of PT-symmetry and Topological States

2021 ◽  
Author(s):  
Shiqi Xia ◽  
Dimitrios Kaltsas ◽  
Daohong Song ◽  
Ioannis Komis ◽  
Jingjun Xu ◽  
...  
Keyword(s):  
Nonlinear Control ◽  
Pt Symmetry ◽  
Topological States
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