Emergent non-Hermitian localization phenomena in the synthetic space of zero-dimensional bosonic systems

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F23%3A73616203" target="_blank" >RIV/61989592:15310/23:73616203 - isvavai.cz</a>

Result on the web

<a href="https://journals.aps.org/pra/pdf/10.1103/PhysRevA.107.012202" target="_blank" >https://journals.aps.org/pra/pdf/10.1103/PhysRevA.107.012202</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1103/PhysRevA.107.012202" target="_blank" >10.1103/PhysRevA.107.012202</a>

Result language

angličtina

Original language name

Emergent non-Hermitian localization phenomena in the synthetic space of zero-dimensional bosonic systems

Original language description

Phase transitions in non-Hermitian systems are at the focus of cutting edge theoretical and experimental research. On the one hand, parity-time- (PT-) and anti-PT-symmetric physics have gained ever-growing interest, due to the existence of non-Hermitian spectral singularities called exceptional points (EPs). On the other hand, topological and localization transitions in non-Hermitian systems reveal new phenomena, e.g., the non-Hermitian skin effect and the absence of conventional bulk-boundary correspondence. The great majority of previous studies exclusively focus on non-Hermitian Hamiltonians, whose realization requires an a priori fine-tuned extended lattice to exhibit topological and localization transition phenomena. In this work, we show how the non-Hermitian localization phenomena can naturally emerge in the synthetic field moment space of zero-dimensional bosonic systems, e.g., in anti-PT- and PT-symmetric quantum dimers. This offers an opportunity to simulate localization transitions in low-dimensional systems, without the need to construct complex arrays of, e.g., coupled cavities or waveguides. Indeed, the field moment equations of motion can describe an equivalent (quasi)particle moving in a one-dimensional (1D) synthetic lattice. This synthetic field moment space can exhibit nontrivial localization phenomena, such as non-Hermitian skin effect, induced by the presence of highly degenerate EPs. We demonstrate our findings on the example of an anti-PT-symmetric two-mode system, whose higher-order field moment eigenspace is emulated by a synthetic 1D non-Hermitian Hamiltonian having a Sylvester matrix shape. Our results can be directly verified in state-of-the-art optical setups, such as superconducting circuits and toroidal resonators, by measuring photon moments or correlation functions.

Czech name

—

Czech description

—

Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

—

OECD FORD branch

10306 - Optics (including laser optics and quantum optics)

Project

<a href="/en/project/EF16_019%2F0000754" target="_blank" >EF16_019/0000754: Nanotechnologies for Future</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2023

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

PHYSICAL REVIEW A

ISSN

2469-9926

e-ISSN

2469-9934

Volume of the periodical

107

Issue of the periodical within the volume

1

Country of publishing house

US - UNITED STATES

Number of pages

15

Pages from-to

"012202-1"-"012202-15"

UT code for WoS article

000946521400015

EID of the result in the Scopus database

2-s2.0-85146144265