• Corpus ID: 248863139

# Transmission across non-Hermitian $\mathcal{P}\mathcal{T}$-symmetric quantum dots and ladders

@inproceedings{Soori2022TransmissionAN,
title={Transmission across non-Hermitian \$\mathcal\{P\}\mathcal\{T\}\$-symmetric quantum dots and ladders},
author={Abhiram Soori and M. Sivakumar and V. Subrahmanyam},
year={2022}
}
• Published 18 May 2022
• Physics
We propose a model and study the scattering across a non-Hermitian PT -symmetric two-level quantum dot (QD) connected to two semi-inﬁnite one-dimensional lattices. Aharonov-Bohm type phases are included in the model, which arise from magnetic ﬂuxes ( (cid:126) φ L /e, (cid:126) φ R /e ) through two loops in the system. We focus on the case φ L = φ R , for which the probability current is conserved. We ﬁnd that the transmission across the QD can be perfect in the PT -unbroken phase…

## References

SHOWING 1-10 OF 58 REFERENCES
PT -symmetry breaking for the scattering problem in a one-dimensional non-Hermitian lattice model
• Physics
• 2016
We study the $\mathcal{PT}$-symmetry breaking for the scattering problem in a one-dimensional (1D) non-Hermitian tight-binding lattice model with balanced gain and loss distributed on two adjacent
Non-Hermitian Fabry-Pérot resonances in a PT -symmetric system
• Physics
• 2020
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
Interplay between Fano resonance and PT symmetry in non-Hermitian discrete systems
• Physics
• 2015
We study the effect of PT-symmetric complex potentials on the transport properties of non-Hermitian systems, which consist of an infinite linear chain and two side-coupled defect points with
A non-Hermitian Hamilton operator and the physics of open quantum systems
The Hamiltonian Heff of an open quantum system consists formally of a first-order interaction term describing the closed (isolated) system with discrete states and a second-order term caused by the
Scattering properties of a parity-time-antisymmetric non-Hermitian system
• L. Jin
• Physics
Physical Review A
• 2018
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
Observation of non-Hermitian degeneracies in a chaotic exciton-polariton billiard
• Physics
Nature
• 2015
It is demonstrated that non-Hermiticity dramatically modifies the structure of modes and spectral degeneracies in exciton-polariton systems, and, therefore, will affect their quantum transport, localization and dynamical properties.
Conservation relations and anisotropic transmission resonances in one-dimensional PT-symmetric photonic heterostructures
• Physics
• 2012
We analyze the optical properties of one-dimensional PT-symmetric structures of arbitrary complexity. These structures violate normal unitarity (photon flux conservation) but are shown to satisfy
Parity-Time Symmetry meets Photonics: A New Twist in non-Hermitian Optics
In the past decade, the concept of parity-time symmetry, originally introduced in non-Hermitian extensions of quantum mechanical theories, has come into thinking of photonics, providing a fertile
Exceptional topology of non-Hermitian systems
• Physics
• 2021
The current understanding of the role of topology in non-Hermitian (NH) systems and its far-reaching physical consequences observable in a range of dissipative settings are reviewed. In particular,