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 (13)

• Strong-driving-assisted multipartite entanglement in cavity QED
• Controlled entanglement of two field modes in a Cavity Quantum Electrodynamics experiment
• Demonstration of Non-Deterministic Quantum Logic Operations using Linear Optical Elements
• Quantum information processing and multiatom entanglement engineering with a thermal cavity
• Quantum Computation with hot and cold ions:An assessment of proposed schemes
• Field squeeze operators in optical cavities with atomic ensembles
• Conditional large Fock state preparation and field state reconstruction in Cavity QED
• Frequency up- and down-conversions in two-mode cavity quantum electrodynamics
• Squeezing arbitrary cavity-field states through their interaction with a single driven atom
• One-step generation of high-quality squeezed and EPR states in cavity QED
• Preparation and control of a cavity-field state through atom-driven field interaction: towards long-lived mesoscopic states
• Engineering squeezed states in high-Q cavities
• Proposal to produce long-lived mesoscopic superpositions through an atom-driven field interaction

Cited by in corpus (17)

• Frequency conversion in ultrastrong cavity QED
• Nonadiabatic coherent evolution of two-level systems under spontaneous decay
• Magnon squeezing by two-tone driving of a qubit in cavity-magnon-qubit systems
• 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
• Atom-mediated effective interactions between modes of a bimodal cavity
• Enhancement of photon creation through the pseudo-Hermitian dynamical Casimir effect
• Optical realization of a quantum beam splitter
• Feasible platform to study negative temperatures
• Decoherence-free evolution of time-dependent superposition states of two-level systems and thermal effects
• A Squeezed Vacuum State Laser with Zero Diffusion
• Theoretical method for the generation of a dark two-mode squeezed state of a trapped ion
• Unambiguous discrimination of nonorthogonal quantum states in cavity QED
• Engineering the unitary charge-conjugation operator of quantum field theory for particle-antiparticle using trapped ions and light fields in cavity QED
• Non-classical non-Gaussian state of a mechanical resonator via selectively incoherent damping in three-mode optomechanical systems
• Two-mode squeezing operator in circuit QED
• Comment on "Generalized James' Effective Hamiltonian Method"