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Article

Shortcuts to Adiabaticity, Unexciting Backgrounds, and Reflectionless Potentials

by
Fernando C. Lombardo
1,2 and
Francisco D. Mazzitelli
3,*
1
Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Buenos Aires 1428, Argentina
2
Instituto de Física de Buenos Aires (IFIBA), Consejo Nacional de Investigaciones Cientíicas y Técnicas, Universidad de Buenos Aires, Buenos Aires 1428, Argentina
3
Centro Atómico Bariloche and Instituto Balseiro, Comisión Nacional de Energía Atómica, Bariloche 8400, Argentina
*
Author to whom correspondence should be addressed.
Physics 2026, 8(1), 10; https://doi.org/10.3390/physics8010010
Submission received: 30 September 2025 / Revised: 15 December 2025 / Accepted: 19 December 2025 / Published: 16 January 2026
(This article belongs to the Special Issue A Themed Issue in Honor of Professor Viktor Dodonov—55 Years in Quantum Physics)
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Abstract

We analyze shortcuts to adiabaticity (STA) and their completions for the quantum harmonic oscillator (QHO) with time-dependent frequency, as well as for quantum field theory (QFT) in non-stationary backgrounds. We exploit the analogy with one-dimensional quantum mechanics, and the known correspondence between Bogoliubov coefficients in the QHO and transmission/reflection amplitudes in scattering theory. Within this framework, STA protocols for the QHO are equivalent to transmission resonances, while STA in QFT with homogeneous backgrounds correspond to reflectionless potentials. Moreover, using the connection between particle creation and squeezed states, we show how STA completions can be understood in terms of the anti-squeezing operator.
Keywords: shortcuts to adiabaticity; unexciting backgrounds in quantum field theory; reflectionless potentials in quantum mechanics shortcuts to adiabaticity; unexciting backgrounds in quantum field theory; reflectionless potentials in quantum mechanics

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MDPI and ACS Style

Lombardo, F.C.; Mazzitelli, F.D. Shortcuts to Adiabaticity, Unexciting Backgrounds, and Reflectionless Potentials. Physics 2026, 8, 10. https://doi.org/10.3390/physics8010010

AMA Style

Lombardo FC, Mazzitelli FD. Shortcuts to Adiabaticity, Unexciting Backgrounds, and Reflectionless Potentials. Physics. 2026; 8(1):10. https://doi.org/10.3390/physics8010010

Chicago/Turabian Style

Lombardo, Fernando C., and Francisco D. Mazzitelli. 2026. "Shortcuts to Adiabaticity, Unexciting Backgrounds, and Reflectionless Potentials" Physics 8, no. 1: 10. https://doi.org/10.3390/physics8010010

APA Style

Lombardo, F. C., & Mazzitelli, F. D. (2026). Shortcuts to Adiabaticity, Unexciting Backgrounds, and Reflectionless Potentials. Physics, 8(1), 10. https://doi.org/10.3390/physics8010010

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