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PreprintCC BY 4.0arXiv

External-field-modified entropic exchange in confined quantum systems: static versus time-dependent electric fields

  • Vinod Prasad
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Abstract

We review how external electric fields reshape the information content of spatially confined atoms, and we contrast the response to a uniform static field with that to a monochromatic, time-dependent laser field. The central quantities are the Shannon entropies in position and momentum space, Sr and Sp, and their sum ST = Sr +Sp, which obeys the BBM bound. Using the confined hydrogen atom (CHA) and the particle in a spherical box (PISB), its tight confinement limit, as reference systems, we first show that the field-free total entropy of the CHA depends non-monotonically on the confining radius whereas that of the PISB is strictly scale invariant. We then present Stark maps of the entropies for the ten lowest m = 0 levels at the confining radius of 6 a.u. The ground-state polarizability is reduced from the free-atom value 4.5 a.u. to 4.06 a.u. in the CHA but is 46.8 a.u. in the PISB, and the entropic response of the two systems differs correspondingly.

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Cite

BibTeXRIS
BibTeX
@misc{prasad2026externalfieldmodified,
  title = {{External-field-modified entropic exchange in confined quantum systems: static versus time-dependent electric fields}},
  author = {Vinod Prasad},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.35178},
  eprint = {2610.35178},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.35178},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - External-field-modified entropic exchange in confined quantum systems: static versus time-dependent electric fields
AU  - Vinod Prasad
PY  - 2026
DA  - 2026/10/26
PB  - arXiv
DO  - 10.48550/arxiv.2610.35178
UR  - https://arxiv.org/abs/2610.35178
AB  - We review how external electric fields reshape the information content of spatially confined atoms, and we contrast the response to a uniform static field with that to a monochromatic, time-dependent laser field. The central quantities are the Shannon entropies in position and momentum space, Sr and Sp, and their sum ST = Sr +Sp, which obeys the BBM bound. Using the confined hydrogen atom (CHA) and the particle in a spherical box (PISB), its tight confinement limit, as reference systems, we first show that the field-free total entropy of the CHA depends non-monotonically on the confining radius whereas that of the PISB is strictly scale invariant. We then present Stark maps of the entropies for the ten lowest m = 0 levels at the confining radius of 6 a.u. The ground-state polarizability is reduced from the free-atom value 4.5 a.u. to 4.06 a.u. in the CHA but is 46.8 a.u. in the PISB, and the entropic response of the two systems differs correspondingly.
ER  -