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We investigate the scattering properties of an anti-parity-symmetric non-Hermitian system. The anti-parity-symmetric scattering center possesses imaginary nearest-neighbor hoppings and real onsite potentials, it has been experimentally…

光学 · 物理学 2018-09-30 L. Jin

We observe that the reflection and transmission coefficients of a particle within a double, PT symmetric heterojunction with spatially varying mass, show interesting features, depending on the degree of non Hermiticity, although there is no…

量子物理 · 物理学 2015-06-16 Anjana Sinha , R. Roychoudhury

Parity-time (PT) symmetry is of great interest. The reciprocal and unidirectional features are intriguing besides the PT symmetry phase transition. Recently, the reciprocal transmission, unidirectional reflectionless and invisibility are…

量子物理 · 物理学 2016-03-01 L. Jin , X. Z. Zhang , G. Zhang , Z. Song

The Hermitian systems possess unitary scattering; however, the Hermiticity is unnecessary for a unitary scattering although the scattering under the influence of non-Hermiticity is mostly non-unitary. Here we prove that the unitary…

介观与纳米尺度物理 · 物理学 2022-01-31 L. Jin

Symmetry plays fundamental role in physics and the nature of symmetry changes in non-Hermitian physics. Here the symmetry-protected scattering in non-Hermitian linear systems is investigated by employing the discrete symmetries that…

量子物理 · 物理学 2021-01-05 L. Jin , Z. Song

We investigate the scattering response of parity-time (PT) symmetric structures. We show that, due to the local flow of energy between gain and loss regions, such systems can deflect light in unusual ways, as a function of the gain/loss…

$\mathcal{PT}$ symmetry is a unique platform for light manipulation and versatile use in unidirectional invisibility, lasing, sensing, etc. Broken and unbroken $\mathcal{PT}$-symmetric states in non-Hermitian open systems are described by…

The scattering of quantum particles by non-hermitian (generally nonlocal) potentials in one dimension may result in asymmetric transmission and/or reflection from left and right incidence. Eight generalized symmetries based on the discrete…

量子物理 · 物理学 2018-01-17 A. Ruschhaupt , T. Dowdall , M. A. Simón , J. G. Muga

Significant progress in manipulating heat diffusion has been achieved with the advent of non-Hermitian physics and topology. However, previous studies on diffusive systems have primarily concentrated on isolated cases, where fields decay…

应用物理 · 物理学 2026-03-12 Dong Wang , Pei-Chao Cao , Yanxiang Wang , Minghong Qi , Ran Ju , Hongsheng Chen , Chengwei Qiu , Ying Li

We investigate experimentally parity-time (${\cal PT}$) symmetric scattering using $LRC$ circuits in an inductively coupled ${\cal PT}$- symmetric pair connected to transmission line leads. In the single-lead case, the ${\cal PT}$-symmetric…

介观与纳米尺度物理 · 物理学 2012-05-11 Zin Lin , Joseph Schindler , Fred M. Ellis , Tsampikos Kottos

In time-reversal invariant electronic systems the scattering matrix is anti-symmetric. This property enables an effect, designated here as "scattering anomaly", such that the electron transport does not suffer from back reflections,…

光学 · 物理学 2017-03-03 Mario G. Silveirinha

In non-Hermitian scattering problems the behavior of the transmission probability is very different from its Hermitian counterpart; it can exceed unity or even be divergent, since the non-Hermiticity can add or remove the probability to and…

量子物理 · 物理学 2021-03-11 Ken Shobe , Keiichi Kuramoto , Ken-Ichiro Imura , Naomichi Hatano

The non-Hermitian but $\mathcal{PT}$-symmetric quantum field theories are known to have a pseudo-Hermitian interpretation. However the corresponding intertwining operator happens to be nonlocal that raises the question to what extent this…

高能物理 - 理论 · 物理学 2019-03-27 Oleg O. Novikov

The scattering matrix $S$ obeys the unitary relation $S^\dagger S=1$ in a Hermitian system and the symmetry property ${\cal PT}S{\cal PT}=S^{-1}$ in a Parity-Time (${\cal PT}$) symmetric system. Here we report a different symmetry relation…

光学 · 物理学 2016-10-25 Li Ge , Liang Feng

In quantum scattering, Hermiticity is necessary for both reciprocity and unitarity. Reciprocity means that both reflectivity (R) and transmitivity (T) are insensitive to the direction of incidence of a wave (particle) at a scatterer from…

量子物理 · 物理学 2015-06-05 Zafar Ahmed

Investigations of scattering in presence of non-linearity which have just begun require the confinement of both the potential, $V(x)$, and the non-linearity, $\gamma f(|\psi|)$. There could be two options for the confinement. One is the…

量子物理 · 物理学 2013-12-12 Zafar Ahmed

Non-Hermitian, one-dimensional potentials which are also non-local, allow for scattering asymmetries, namely, asymmetric transmission or reflection responses to the incidence of a particle from left or right. The symmetries of the potential…

量子物理 · 物理学 2020-11-11 Andreas Ruschhaupt , Anthony Kiely , Miguel Ángel Simón , J. Gonzalo Muga

We study the scattering problem for the non-Hermitian scattering center, which consists of two Hermitian clusters with anti-Hermitian couplings between them. Counterintuitively, it is shown that it acts as a Hermitian scattering center,…

量子物理 · 物理学 2012-02-21 L. Jin , Z. Song

A theoretical model based on two-point scatterers is suggested to investigate scattering of partially coherent radiation by a non-Hermitian localized structure, invariant under the simultaneous symmetry operations of parity inversion and…

光学 · 物理学 2019-10-23 Paulo. A. Brandão , Solange B. Cavalcanti

We investigate the two-port scattering process in non-Hermitian dimer models via quantum measurements using external leads. We focus on two exemplary dimer models that preserve parity-time symmetry via spatial gain-loss balance and exhibit…

介观与纳米尺度物理 · 物理学 2026-02-09 Jung-Wan Ryu , Henning Schomerus , Hee Chul Park
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