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Dissipation engineering is an engineering technique applied in quantum information processing. Dissipation - the uncontrolled interaction with many environmental degrees of freedom- usually is detrimental to the coherent control of quantum systems. However dissipation is a indispensable tool for quantum information processing.

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The Jaynes–Cummings model is of great interest to atomic physics, quantum optics, solid-state physics and both experimentally and theoretically.^[1] It also has applications in and quantum information processing. quantum information circuits, spontaneous emission absorption of photons in a cavity.

Historical development

1963: Edwin Jaynes & Fred Cummings

The model was originally developed in a 1963 article by Edwin Jaynes and Fred Cummings to elucidate the effects of giving a fully quantum mechanical treatment to the behavior of atoms interacting with an electromagnetic field. In order to simplify the math and allow for a tractable calculation, Jaynes and Cummings restricted their attention to the interaction of an atom with a single mode of quantum electromagnetic field.^[2]^[3] (See below for further mathematical details.)

This approach is in contrast to the earlier semi-classical method, in which only the dynamics of the atom are treated quantum mechanically, while the field with which it interacts is assumed to behave according to classical electromagnetic theory. The quantum mechanical treatment of the field in the Jaynes–Cummings model reveals a number of novel features, including:

The existence of Rabi oscillations between the states of the two-level system as it interacts with the quantum field. This was originally believed to be a purely quantum mechanical effect, although a semi-classical explanation for it was later provided in terms of linear dispersion and absorption

^[4]

^ A more recent reference reviewing the Physics of the Jaynes–Cummings model is Journal of Physics B, 2013, vol. 46, #22, containing numerous relevant articles, including two interesting editorials, one by Cummings.
^ E.T. Jaynes; F.W. Cummings (1963). "Comparison of quantum and semiclassical radiation theories with application to the beam maser". Proc. IEEE. 51 (1): 89–109. doi:10.1109/PROC.1963.1664.
^ Frederick W. Cummings (2013). "Reminiscing about thesis work with E T Jaynes at Stanford in the 1950s". Journal of Physics B: Atomic, Molecular and Optical Physics. 46 (22): 220202 (3pp). Bibcode:2013JPhB...46v0202C. doi:10.1088/0953-4075/46/22/220202.
^ Verstraete, Frank; Wolf, Michael M.; Ignacio Cirac, J. (2009-09). "Quantum computation and quantum-state engineering driven by dissipation". Nature Physics. 5 (9): 633–636. doi:10.1038/nphys1342. ISSN 1745-2481. {{cite journal}}: Check date values in: |date= (help)

[1] A more recent reference reviewing the Physics of the Jaynes–Cummings model is Journal of Physics B, 2013, vol. 46, #22, containing numerous relevant articles, including two interesting editorials, one by Cummings.

[2] E.T. Jaynes; F.W. Cummings (1963). "Comparison of quantum and semiclassical radiation theories with application to the beam maser". Proc. IEEE. 51 (1): 89–109. doi:10.1109/PROC.1963.1664.

[3] Frederick W. Cummings (2013). "Reminiscing about thesis work with E T Jaynes at Stanford in the 1950s". Journal of Physics B: Atomic, Molecular and Optical Physics. 46 (22): 220202 (3pp). Bibcode:2013JPhB...46v0202C. doi:10.1088/0953-4075/46/22/220202.

[4] Verstraete, Frank; Wolf, Michael M.; Ignacio Cirac, J. (2009-09). "Quantum computation and quantum-state engineering driven by dissipation". Nature Physics. 5 (9): 633–636. doi:10.1038/nphys1342. ISSN 1745-2481. {{cite journal}}: Check date values in: |date= (help)

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