scholarly journals Anharmonic Oscillators with Infinitely Many Real Eigenvalues and PT-Symmetry

Author(s):  
Kwang C. Shin
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):  

1990 ◽  
Vol 42 (9) ◽  
pp. 5073-5078 ◽  
Author(s):  
F. Arias de Saavedra ◽  
E. Buenda

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

2021 ◽  
Vol 7 (1) ◽  
Author(s):  
Tao Chen ◽  
Wei Gou ◽  
Dizhou Xie ◽  
Teng Xiao ◽  
Wei Yi ◽  
...  

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.


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

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