Fully solvable finite simplex lattices with open boundaries in arbitrary dimensions
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F23%3A73622270" target="_blank" >RIV/61989592:15310/23:73622270 - isvavai.cz</a>
Result on the web
<a href="https://journals.aps.org/prresearch/pdf/10.1103/PhysRevResearch.5.043092" target="_blank" >https://journals.aps.org/prresearch/pdf/10.1103/PhysRevResearch.5.043092</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1103/PhysRevResearch.5.043092" target="_blank" >10.1103/PhysRevResearch.5.043092</a>
Alternative languages
Result language
angličtina
Original language name
Fully solvable finite simplex lattices with open boundaries in arbitrary dimensions
Original language description
Finite simplex lattice models are used in different branches of science, e.g., in condensed-matter physics, when studying frustrated magnetic systems and non-Hermitian localization phenomena; or in chemistry, when describing experiments with mixtures. An n-simplex represents the simplest possible polytope in n dimensions, e.g., a line segment, a triangle, anda tetrahedron in one, two, and three dimensions, respectively. In this work, we show that various fully solvable, in general non-Hermitian, n-simplex lattice models with open boundaries can be constructed from the high-order field-moments space of quadratic bosonic systems. Namely, we demonstrate that such n-simplex lattices can be formed by a dimensional reduction of highly degenerate iterated polytope chains in (k > n)-dimensions, which naturally emerge in the field-moments space. Our findings indicate that the field-moments space of bosonic systems provides a versatile platform for simulating real-space n-simplex lattices exhibiting non-Hermitian phenomena, and it yields valuable insights into the structure of many-body systems exhibiting similar complexity. Among a variety of practical applications, these simplex structures can offer a physical setting for implementing the discrete fractional Fourier transform, an indispensable tool for both quantum and classical signal processing.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10306 - Optics (including laser optics and quantum optics)
Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Physical Review Research
ISSN
2643-1564
e-ISSN
2643-1564
Volume of the periodical
5
Issue of the periodical within the volume
4
Country of publishing house
US - UNITED STATES
Number of pages
15
Pages from-to
"043092-1"-"043092-15"
UT code for WoS article
001098159100002
EID of the result in the Scopus database
2-s2.0-85175403841