Dispersive readout of a weakly coupled qubit via the parity-time-symmetric phase transition

Zhang, Guo-Qiang; Wang, Yipu; You, J. Q.

doi:10.1103/physreva.99.052341

Cited by 23 publications

(10 citation statements)

References 50 publications

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“…Near the EP, the eigen frequency response to the perturbation exhibits a square-root dependence [30] and a cubic-root [31] dependence, respectively. In this regard, the EPs are useful for sensing in comparison with the diabolic points; this feature has been verified in optics, cavity optomechanics, cavity spintronics, and circuit quantum electrodynamics [34][35][36][37][38][39][40][41][42][43]. The sensing susceptibility is greatly enhanced near the EPs [44].…”

Section: Introductionmentioning

confidence: 83%

High-order exceptional points in supersymmetric arrays

Zhang

Jin

et al. 2020

Phys. Rev. A

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We employ the intertwining operator technique to synthesize a supersymmetric (SUSY) array of arbitrary size N . The synthesized SUSY system is equivalent to a spin-(N − 1)/2 under an effective magnetic field. By considering an additional imaginary magnetic field, we obtain a generalized parity-time-symmetric non-Hermitian Hamiltonian that describes a SUSY array of coupled resonators or waveguides under a gradient gain and loss; all the N energy levels coalesce at an exceptional point (EP), forming the isotropic high-order EP with N states coalescence (EPN). Near the EPN, the scaling exponent of phase rigidity for each eigenstate is (N − 1)/2; the eigen frequency response to the perturbation acting on the resonator or waveguide couplings is 1/N . Our findings reveal the importance of the intertwining operator technique for the spectral engineering and exemplify the practical application in non-Hermitian physics. arXiv:2003.07510v1 [quant-ph]

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Section: Introductionmentioning

confidence: 83%

High-order exceptional points in supersymmetric arrays

Zhang

Jin

et al. 2020

Phys. Rev. A

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“…Near the EP, the eigen frequency response to the perturbation exhibits a square-root dependence 26 and a cubicroot 27 dependence, respectively. In this regard, the EPs are useful for sensing in comparison with the diabolic points; this feature has been verified in optics, cavity optomechanics, cavity spintronics, and circuit quantum electrodynamics [28][29][30][31][32][33][34][35][36][37] . The sensing susceptibility is greatly enhanced near the EPs 38 .…”

Section: Introductionmentioning

confidence: 85%

Resonant-amplified and invisible Bragg scattering based on spin coalescing modes

Zhang,

Song

2020

Preprint

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Unlike a real magnetic field, which separates the energy levels of particle with opposite spin polarization, a complex field can lead to a special kind of spectral degeneracy, known as exceptional point (EP), at which two spin eigenmodes coalesce. It allows an EP impurity to be an invisible scattering center for a fermion with the resonant spin polarization, but an amplifying emitter for opposite polarization. We show that a pair of conjugate EP modes supports resonant mutual stimulation, acting as a resonant amplifier based on the underlying mechanism of positive-feedback loop. Together with other Hermitian eigenmodes, a fermion with EP polarization exhibits some exclusive dynamics, referred to as EP dynamics. We construct several typical superlattices, which are built up by embedding EP-impurity arrays in Hermitian two-dimensional square lattice. Numerical simulations are performed to demonstrate resonant amplification and invisibility of Bragg fringe.

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“…Both non-Hermitian SSH models have PT symmetry and their eigenstates can break this symmetry by passing through the exceptional point (EP). These models can be realized in, e.g., optical systems or cold atoms [1,2,13,14,[64][65][66][67], but the experimental demonstration of the effects in the quantum regime is still facing a big challenge. In the following two subsections, we consider the work statistics corresponding to these two kinds of non-Hermitian terms.…”

Section: Work Statistics In the Non-hermitian Ssh Modelmentioning

confidence: 99%

Work statistics in non-Hermitian evolutions with Hermitian endpoints

Zhou,

You,

Nori

2021

Preprint

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Non-Hermitian systems with specific forms of Hamiltonians can exhibit novel phenomena. However, it is difficult to study their quantum thermodynamical properties. In particular, the calculation of work statistics can be challenging in non-Hermitian systems due to the change of state norm. To tackle this problem, we modify the two-point measurement method in Hermitian systems. The modified method can be applied to non-Hermitian systems which are Hermitian before and after the evolution. In Hermitian systems, our method is equivalent to the two-point measurement method. When the system is non-Hermitian, our results represent a projection of the statistics in a larger Hermitian system. As an example, we calculate the work statistics in a non-Hermitian Su-Schrieffer-Heeger model. Our results reveal several differences between the work statistics in non-Hermitian systems and the one in Hermitian systems.

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Dispersive readout of a weakly coupled qubit via the parity-time-symmetric phase transition

Cited by 23 publications

References 50 publications

High-order exceptional points in supersymmetric arrays

High-order exceptional points in supersymmetric arrays

Resonant-amplified and invisible Bragg scattering based on spin coalescing modes

Work statistics in non-Hermitian evolutions with Hermitian endpoints

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