Continuum analogs of excited-state quantum phase transitions
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389021%3A_____%2F21%3A00543556" target="_blank" >RIV/61389021:_____/21:00543556 - isvavai.cz</a>
Alternative codes found
RIV/00216208:11320/21:10439650
Result on the web
<a href="https://journals.aps.org/pra/pdf/10.1103/PhysRevA.103.062207" target="_blank" >https://journals.aps.org/pra/pdf/10.1103/PhysRevA.103.062207</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1103/PhysRevA.103.062207" target="_blank" >10.1103/PhysRevA.103.062207</a>
Alternative languages
Result language
angličtina
Original language name
Continuum analogs of excited-state quantum phase transitions
Original language description
Following our work [Phys. Rev. Lett. 125, 020401 (2020)], we discuss a semiclassical description of one-dimensional quantum tunneling through multibarrier potentials in terms of complex time. We start by defining a complex-extended continuum level density of unbound systems and show its relation to a complex time shift of the transmitted wave. While the real part of the level density and time shift describes the passage of the particle through classically allowed coordinate regions, the imaginary part is connected with an instantonlike picture of the tunneling through forbidden regions. We describe singularities in the real and imaginary parts of the level density and time shift caused by stationary points of the tunneling potential, and show that they represent a dual extension of excited-state quantum phase transitions from bound to continuum systems. Using the complex scaling method, we numerically verify the predicted effects in several tunneling potentials.
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
—
OECD FORD branch
10301 - Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
Result continuities
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
Others
Publication year
2021
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 A
ISSN
2469-9926
e-ISSN
2469-9934
Volume of the periodical
103
Issue of the periodical within the volume
6
Country of publishing house
US - UNITED STATES
Number of pages
15
Pages from-to
062207
UT code for WoS article
000661119600001
EID of the result in the Scopus database
2-s2.0-85107532030