Quantum signatures and semiclassical limitations in the transmission of Fock states
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F25%3A73632727" target="_blank" >RIV/61989592:15310/25:73632727 - isvavai.cz</a>
Result on the web
<a href="https://journals.aps.org/pra/pdf/10.1103/2b9f-ygt3" target="_blank" >https://journals.aps.org/pra/pdf/10.1103/2b9f-ygt3</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1103/2b9f-ygt3" target="_blank" >10.1103/2b9f-ygt3</a>
Alternative languages
Result language
angličtina
Original language name
Quantum signatures and semiclassical limitations in the transmission of Fock states
Original language description
Transmission through potential barriers is a fundamental problem in quantum mechanics. While semiclassical methods can approximate certain aspects of transmission, they fail to capture the intrinsically quantum interference associated with Wigner-function negativity. We numerically study the transmission of displaced Fock states through an inverted-oscillator barrier, with and without a Kerr nonlinearity that offers a potential route to experimental realization. These states allow only an approximate classical description since their characteristic Wigner-function negativity is absent in phase space. The semiclassical simulation reproduces the overall transmission, but deviates from exact results and fails to capture short-time plateaus that arise when regions of Wigner-function negativity cross the barrier. With the Kerr nonlinearity, reflections from nonlinear boundaries drive interference into classically forbidden regions, an effect that is inaccessible to semiclassical approaches. We find that these interference effects do not alter the maximum transmission probability, which is bounded by the initial positive-energy fraction and therefore already encoded in the phase-space structure of the Fock states. Because Fock states cannot be faithfully represented within classical phase space, the transmission through a barrier reveals the fundamental limitations of semiclassical approaches.
Czech name
—
Czech description
—
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
10306 - Optics (including laser optics and quantum optics)
Result continuities
Project
<a href="/en/project/EH22_008%2F0004649" target="_blank" >EH22_008/0004649: Quantum Engineering and Nanotechnology</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2025
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
112
Issue of the periodical within the volume
5
Country of publishing house
US - UNITED STATES
Number of pages
11
Pages from-to
"052221-1"-"052221-11"
UT code for WoS article
001631172100007
EID of the result in the Scopus database
2-s2.0-105026665647