Anti–parity-time symmetry in diffusive systems

Liu, Ying; Peng, Yu‐Gui; Han, Lei; Miri, Mohammad‐Ali; Li, Wei; Xiao, Meng; Zhu, Xuefeng; Zhao, Jianlin; Alù, Andrea; Fan, Shanhui; Qiu, Cheng‐Wei

doi:10.1126/science.aaw6259

Cited by 261 publications

(184 citation statements)

References 43 publications

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“…In recent years, research on non-Hermitian quantum systems 1 – 20 becomes a hot area, in that it extends the conventional quantum mechanics to non-standard quantum theory 1 – 6 , provides links to open- and dissipative-quantum systems 21 – 25 , and has novel properties in application 8 , 26 – 32 . Among them are four classes of PT-symmetric systems 33 – 50 , P-pseudo-Hermitian systems 51 – 56 and their anti-symmetric counterpart 18 , 19 , 57 – 66 . One important motivation studying non-Hermitian systems is that, in conventional quantum mechanics, Hermiticity is treat as a fundamental postulate to ensure that Hamiltonians have real energy eigenvalues.…”

Section: Introductionmentioning

confidence: 99%

“…The anti-symmetric counterparts of the two classes of NH-systems start to attract interest for their appealing features, e.g., optical materials with anti-PT-photonic structures having balanced positive and negative index 57 , anti-PT-optical systems with constant refraction 62 , a diffusive system with anti-PT-symmetry 66 , etc. The exact PT (or PT-unbroken) and PT-broken phases exist in an anti-PT-symmetric system, and the phase transition occurs at the EPs, leading to many counter-intuitive phenomena.…”

Section: Introductionmentioning

confidence: 99%

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Distinguish between typical non-Hermitian quantum systems by entropy dynamics

Zheng

2022

Sci Rep

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Non-Hermitian (NH) quantum systems attract research interest increasingly in recent years, among which the PT-symmetric, P-pseudo-Hermitian and their anti-symmetric counterpart systems are focused much more. In this work, we extend the usage of entropy to distinguish time-evolutions of different classes and phases of typical NH-systems. In detail, we investigate the entropy dynamics of two-level NH-systems after quantum decoherence induced by single-qubit projective measurements, finding that it depends on both the initial states and the selection of the computational bases of the measurements. In a general case, we show how to distinguish all the eight phases of the above NH-systems step by step, in which process three different initial states are necessary if the basis of measurement is fixed. We propose how the distinguishing process is realized in quantum simulation, in which quantum tomography is not needed. Our investigations can be applied to judge phase transitions of non-Hermitian systems.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Distinguish between typical non-Hermitian quantum systems by entropy dynamics

Zheng

2022

Sci Rep

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“…The scattering properties of a system with PT symmetry are explicit but anti-PT symmetry as a counterpart of PT symmetry has rarely been investigated [47][48][49][50][51][52][53][54][55][56][57]. Recently, imaginary coupling has been demonstrated in atomic vapors [48], electrical circuits [58], and optical waveguides [59].…”

Section: Introductionmentioning

confidence: 99%

Coupling-induced nonunitary and unitary scattering in anti- PT -symmetric non-Hermitian systems

Jin

2021

Phys. Rev. A

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We investigate the properties of two anti-parity-time (anti-PT )-symmetric four-site scattering centers. The anti-PT -symmetric scattering center may have imaginary couplings, real couplings, and real on-site potentials. The only difference between the two scattering centers is the coupling between two central sites of the scattering center, which plays a crucial role in determining the parity of anti-PT symmetry and significantly affects the scattering properties. For the imaginary coupling, the even-parity anti-PT -symmetric scattering center possesses nonunitary scattering and the difference between the reflection and transmission is unity; for the real coupling, the odd-parity anti-PT -symmetric scattering center possesses unitary scattering and the sum of the reflection and transmission is unity. The coupling-induced different scattering behaviors are verified in the numerical simulations. Our findings reveal that a significant difference in the dynamics can be caused by a slight difference between two similar anti-PT -symmetric non-Hermitian scattering centers.

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“…Thus, while the symmetrybreaking transition in a PT -symmetric system is marked by the emergence of amplifying and decaying eigenmode pairs, modes of an APT -symmetric system amplify or decay independent of each other. APT -symmetric systems have been realized in atomic vapor and cold atoms [24,25], active electrical circuits [26], disks with thermal gradients [27], and diverse optical setups [28][29][30][31].…”

mentioning

confidence: 99%