Equations of motion governing the dynamics of the exceptional points of parameterically dependent nonhermitian Hamiltonians

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389021%3A_____%2F23%3A00571732" target="_blank" >RIV/61389021:_____/23:00571732 - isvavai.cz</a>

Alternative codes found

RIV/00216208:11320/23:10475044

Result on the web

<a href="https://iopscience.iop.org/article/10.1088/1751-8121/acc0ea" target="_blank" >https://iopscience.iop.org/article/10.1088/1751-8121/acc0ea</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1088/1751-8121/acc0ea" target="_blank" >10.1088/1751-8121/acc0ea</a>

Result language

angličtina

Original language name

Equations of motion governing the dynamics of the exceptional points of parameterically dependent nonhermitian Hamiltonians

Original language description

We study exceptional points (EPs) of a nonhermitian Hamiltonian circumflex expressionccent H(lambda, delta) whose parameters lambda is an element of C and (delta is an element of R. As the real control parameter (delta is varied, the kth EP (or kth cluster of simultaneously existing EPs) of circumflex expressionccent H(lambda, delta) moves in the complex plane of lambda along a continuous trajectory, lambda(k)(delta). Using an appropriate non-hermitian formalism (based upon the c-product and not upon the conventional Dirac product), we derive a self-contained set of equations of motion (EOM) for the trajectory lambda(k)(delta), while interpreting delta as the propagation time. Such EOM become of interest whenever one wishes to study the response of EPs to external perturbations or continuous parametric changes of the pertinent Hamiltonian. This is e.g. the case of EPs emanating from hermitian curve crossings/degeneracies (which turn into avoided crossings/neardegeneracies when the Hamiltonian parameters are continuously varied). The presented EOM for EPs have not only their theoretical merits, they possess also a substantial practical relevance. Namely, the just presented approach can be regarded even as an efficient numerical method, useful for generating EPs for a broad class of complex quantum systems encountered in atomic, nuclear and condensed matter physics. Performance of such a method is tested here numerically on a simple yet nontrivial toy model.

Czech name

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Czech description

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Type

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

CEP classification

—

OECD FORD branch

10301 - Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)

Project

Result was created during the realization of more than one project. More information in the Projects tab.

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2023

Confidentiality

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

Name of the periodical

Journal of Physics A-Mathematical and Theoretical

ISSN

1751-8113

e-ISSN

1751-8121

Volume of the periodical

56

Issue of the periodical within the volume

14

Country of publishing house

US - UNITED STATES

Number of pages

27

Pages from-to

145201

UT code for WoS article

000948843000001

EID of the result in the Scopus database

2-s2.0-85150416276