Bilinear and quadratic Hamiltonians in two-mode cavity quantum electrodynamics

Abstract

In this work we show how to engineer bilinear and quadratic Hamiltonians in cavity quantum electrodynamics (QED) through the interaction of a single driven two-level atom with cavity modes. The validity of the engineered Hamiltonians is numerically analyzed even considering the effects of both dissipative mechanisms, the cavity field and the atom. The present scheme can be used, in both optical and microwave regimes, for quantum state preparation, the implementation of quantum logical operations, and fundamental tests of quantum theory.

11 pages, 3 figures

References in corpus (3)

• Frequency up- and down-conversions in two-mode cavity quantum electrodynamics
• One-step generation of high-quality squeezed and EPR states in cavity QED
• Engineering squeezed states in high-Q cavities

Cited by in corpus (4)

• Nonadiabatic coherent evolution of two-level systems under spontaneous decay
• Generation of decoherence-free displaced squeezed states of radiation fields and a squeezed reservoir for atoms in cavity QED
• Superposition of coherent states prepared in one mode of a dissipative bimodal cavity
• Theoretical method for the generation of a dark two-mode squeezed state of a trapped ion