Atom-mediated effective interactions between modes of a bimodal cavity

Abstract

We show a procedure for engineering effective interactions between two modes in a bimodal cavity. Our system consists of one or more two-level atoms, excited by a classical field, interacting with both modes. The two effective Hamiltonians have a similar form of a beam-splitter and quadratic beam-splitter interactions, respectively. We also demonstrate that the nonlinear Hamiltonian can be used to prepare an entangled coherent state, also known as multidimensional entangled coherent state, which has been pointed out as an important entanglement resource. We show that the nonlinear interaction parameter can be enhanced considering N independent atoms trapped inside a high-finesse optical cavity.

To be published in Phys. Rev. A

References in corpus (12)

• Nonlinear atom interferometer surpasses classical precision limit
• Real-time quantum feedback prepares and stabilizes photon number states
• Reconstruction of non-classical cavity field states with snapshots of their decoherence
• Effective Hamiltonian Theory and Its Applications in Quantum Information
• Electromagnetically induced transparency with single atoms in a cavity
• Time Averaged Quantum Dynamics and the Validity of the Effective Hamiltonian Model
• Methods for Producing Optical Coherent State Superpositions
• Bilinear and quadratic Hamiltonians in two-mode cavity quantum electrodynamics
• Three-Photon Correlations in a Strongly Driven Atom-Cavity System
• Quantum jumps and spin dynamics of interacting atoms in a strongly coupled atom-cavity system
• Generation of four-partite GHZ and W states by using a high-finesse bimodal cavity
• Generation of decoherence-free displaced squeezed states of radiation fields and a squeezed reservoir for atoms in cavity QED

Cited by in corpus (7)

• Collective strong coupling in multimode cavity QED
• Coupling and Decoupling of Polaritonic States in Multimode Cavities
• Non-Markovian Quantum Dynamics in Strongly Coupled Multimode Cavities Conditioned on Continuous Measurement
• Dissipative Two-Mode Tavis-Cummings Model with Time-Delayed Feedback Control
• Coherently opening a high-Q cavity
• Creating a switchable optical cavity with controllable quantum-state mapping between two modes
• Unitary decoupling treatment of a quadratic bimodal CQED model