https://doi.org/10.1140/epjp/s13360-025-06517-4
Regular Article
Classicality and nonclassicality of the damped harmonic oscillator
Department of Physics, Birla Institute of Technology and Science, Hyderabad Campus, 500078, Pilani, Telangana, India
Received:
20
March
2025
Accepted:
3
June
2025
Published online:
19
June
2025
Hamilton’s least action principle, admitting initial values, leads to a general Lagrangian and Hamiltonian formulation of dissipative systems. We study the dissipative system of the damped harmonic oscillator and compute the Wigner function to explore the classicality and nonclassicality of quantum states under dissipation. We derive the coherent and squeezed states of the ground and first excited states, along with their Wigner functions. The Wigner plots show contraction with increasing time. Additionally, we compute and plot the negativity of the dissipative system for different states and observe that it decreases with both time and dissipation. It is also shown that moderate squeezing in momentum enhances the Wigner negativity of the dissipative system.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2025
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
