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Photonic Mode Description of the Jaynes–Cummings Hamiltonian States

Maisi, V. F. LU (2026) In Annalen der Physik 538(8).
Abstract

Jaynes–Cummings Hamiltonian provides the elemental description of a two-level system interacting with a photonic mode. In this work, we review the Jaynes–Cummings formalism for an electronic two-level system. The purpose is to summarize and connect together the key theory concepts relevant for the transmission response probed typically in the experiments. The review provides a photonic mode description of the response with analytical results for several limiting cases. These expressions are useful for gaining understanding and intuition on what influences the measured response. We also connect the photonic response to several key concepts in the field: the dispersive shift in qubit readout, the quantum capacitance of semiconductor... (More)

Jaynes–Cummings Hamiltonian provides the elemental description of a two-level system interacting with a photonic mode. In this work, we review the Jaynes–Cummings formalism for an electronic two-level system. The purpose is to summarize and connect together the key theory concepts relevant for the transmission response probed typically in the experiments. The review provides a photonic mode description of the response with analytical results for several limiting cases. These expressions are useful for gaining understanding and intuition on what influences the measured response. We also connect the photonic response to several key concepts in the field: the dispersive shift in qubit readout, the quantum capacitance of semiconductor nanostructures and the effective dissipation rate of the two-level system.

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Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
capacitance, photonics, physics, quantum, quantum capacitance, quantum mechanics, qubit, statistical physics
in
Annalen der Physik
volume
538
issue
8
article number
e70273
publisher
Wiley-Blackwell
external identifiers
  • scopus:105047683005
ISSN
0003-3804
DOI
10.1002/andp.70273
language
English
LU publication?
yes
id
025ba035-7236-49d2-a9d8-153f633bb092
date added to LUP
2026-09-29 14:53:48
date last changed
2026-09-29 14:53:57
@article{025ba035-7236-49d2-a9d8-153f633bb092,
  abstract     = {{<p>Jaynes–Cummings Hamiltonian provides the elemental description of a two-level system interacting with a photonic mode. In this work, we review the Jaynes–Cummings formalism for an electronic two-level system. The purpose is to summarize and connect together the key theory concepts relevant for the transmission response probed typically in the experiments. The review provides a photonic mode description of the response with analytical results for several limiting cases. These expressions are useful for gaining understanding and intuition on what influences the measured response. We also connect the photonic response to several key concepts in the field: the dispersive shift in qubit readout, the quantum capacitance of semiconductor nanostructures and the effective dissipation rate of the two-level system.</p>}},
  author       = {{Maisi, V. F.}},
  issn         = {{0003-3804}},
  keywords     = {{capacitance; photonics; physics; quantum; quantum capacitance; quantum mechanics; qubit; statistical physics}},
  language     = {{eng}},
  number       = {{8}},
  publisher    = {{Wiley-Blackwell}},
  series       = {{Annalen der Physik}},
  title        = {{Photonic Mode Description of the Jaynes–Cummings Hamiltonian States}},
  url          = {{http://dx.doi.org/10.1002/andp.70273}},
  doi          = {{10.1002/andp.70273}},
  volume       = {{538}},
  year         = {{2026}},
}