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The emergence of parity-time ($mathcal{PT}$) symmetry has greatly enriched our study of symmetry-enabled non-Hermitian physics, but the realization of quantum $mathcal{PT}$-symmetry faces an intrinsic issue of unavoidable symmetry-breaking Langevin noises. Here we construct a quantum pseudo-anti-$% mathcal{PT}$ (pseudo-$mathcal{APT}$) symmetry in a two-mode bosonic system without involving Langevin noises. We show that the pseudo-$mathcal{APT}$ phase transition across the exceptional point yields a transition between different types of quantum squeezing behaviors, textit{i.e.}, the squeezing factor increases exponentially (oscillates periodically) with time in the pseudo-$mathcal{APT}$ symmetric (broken) region. Such dramatic changes of squeezing factors and associated quantum states near the exceptional point are utilized for ultra-precision quantum sensing with divergent sensitivity. These exotic quantum phenomena and sensing applications induced by quantum pseudo-$mathcal{APT}$ symmetry can be experimentally observed in two physical systems: spontaneous wave mixing nonlinear optics and atomic Bose-Einstein condensates.
Parity-time (PT)-symmetric Hamiltonians have widespread significance in non-Hermitian physics. A PT-symmetric Hamiltonian can exhibit distinct phases with either real or complex eigenspectrum, while the transition points in between, the so-called exc
The decay of any unstable quantum state can be inhibited or enhanced by carefully tailored measurements, known as the quantum Zeno effect (QZE) or anti-Zeno effect (QAZE). To date, studies of QZE (QAZE) transitions have since expanded to various syst
Non-Hermitian systems with parity-time reversal ($mathcal{PT}$) or anti-$mathcal{PT}$ symmetry have attracted a wide range of interest owing to their unique characteristics and counterintuitive phenomena. One of the most extraordinary features is the
Parity-time (PT) symmetry in non-Hermitian optical systems promises distinct optical effects and applications not found in conservative optics. Its counterpart, anti-PT symmetry, subscribes another class of intriguing optical phenomena and implies co
We develop a theory of charge-parity-time (CPT) frameness resources to circumvent CPT-superselection. We construct and quantify such resources for spin~0, $frac{1}{2}$, 1, and Majorana particles and show that quantum information processing is possibl