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Methods in Theoretical Quantum Optics$
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Stephen Barnett and Paul Radmore

Print publication date: 2002

Print ISBN-13: 9780198563617

Published to Oxford Scholarship Online: February 2010

DOI: 10.1093/acprof:oso/9780198563617.001.0001

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Dressed States

Dressed States

Methods in Theoretical Quantum Optics



Oxford University Press

A dressed state is defined as an eigenstate of the total Hamiltonian, including interactions. Once these dressed states are found, and their energies known, the dynamics of the system is simple: the total state is a superposition of these states, the amplitudes being constant. The dressed states are derived for a two-state system, a three-state system and the Bixon–Jortner model. Dissipative systems are treated using Fano theory. Related techniques, suited to the Heisenberg picture, involve dressed operators. Two examples of physical interest are discussed: an imperfect cavity, and the Jaynes–Cummings model.

Keywords:   dressed states, two-state systems, three-state systems, Bixon–Jortner model, Fano theory, dressed operators, Jaynes–Cummings model

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