Generation of decoherence-free displaced squeezed states of radiation fields and a squeezed reservoir for atoms in cavity QED

TL;DR

This paper proposes a method to engineer decoherence-free displaced squeezed states of radiation and a squeezed reservoir for atoms in cavity QED, using atomic interactions and reservoir engineering techniques.

Contribution

It introduces a novel scheme to generate decoherence-free displaced squeezed states and a squeezed reservoir for atoms, without requiring atomic detection or precise interaction timing.

Findings

Generation of decoherence-free displaced squeezed states in a cavity

Creation of an ideal squeezed reservoir for atomic systems

Potential to test new effects in atom dynamics within squeezed reservoirs

Abstract

We present a way to engineer an effective anti-Jaynes-Cumming and a Jaynes-Cumming interaction between an atomic system and a single cavity mode and show how to employ it in reservoir engineering processes. To construct the effective Hamiltonian, we analyse considered the interaction of an atomic system in a \{Lambda} configuration, driven by classical fields, with a single cavity mode. With this interaction, we firstly show how to generate a decoherence-free displaced squeezed state for the cavity field. In our scheme, an atomic beam works as a reservoir for the radiation field trapped inside the cavity, as employed recently by S. Pielawa et al. [Phys. Rev. Lett. 98, 240401 (2007)] to generate an Einstein-Podolsky-Rosen entangled radiation state in high-Q resonators. In our scheme, all the atoms have to be prepared in the ground state and, as in the cited article, neither atomic detection nor precise interaction times between the atoms and the cavity mode are required. From this same interaction, we can also generate an ideal squeezed reservoir for atomic systems. For this purpose we have to assume, besides the engineered atom-field interaction, a strong decay of the cavity field (i.e., the cavity decay must be much stronger than the effective atom-field coupling). With this scheme, some interesting effects in the dynamics of an atom in a squeezed reservoir could be tested.