Several recent experiments have demonstrated the promise of atomic ensembles for quantum teleportation and quantum memory. In these cases, the collective internal state of the atoms is well described by continuous variables corresponding to the operators ${X}_{1}{,P}_{1}$ and the interaction with the optical field ${(X}_{2}{,P}_{2})$ by a quadratic Hamiltonian ${X}_{1}{X}_{2}.$ We show how this interaction can be used optimally to create entanglement and squeezing. We derive conditions for the efficient simulation of quadratic Hamiltonians and the engineering of all Gaussian operations and states.Several recent experiments have demonstrated the promise of atomic ensembles for quantum teleportation and quantum memory. In these cases, the collective internal state of the atoms is well described by continuous variables corresponding to the operators ${X}_{1}{,P}_{1}$ and the interaction with the optical field ${(X}_{2}{,P}_{2})$ by a quadratic Hamiltonian ${X}_{1}{X}_{2}.$ We show how this interaction can be used optimally to create entanglement and squeezing. We derive conditions for the efficient simulation of quadratic Hamiltonians and the engineering of all Gaussian operations and states.

arXiv:quant-ph/0210136Physical Review AApr 22, 200364 citations

Squeezing and entanglement in a two-mode system: theory and experiment

Vincent Josse, Aurélien Dantan, Alberto Bramati +1 more

Jan 1, 20040 citations

Tuneable interacting bosons for relativistic and quantum information processing

Chester Moore, David Edward Bruschi

We study the full time evolution of a system of two modes of a bosonic quantum field that interact through quadratic hamiltonians. We specialise to a time dependent two-mode squeezing Hamiltonian where the coupling is switched on and off smoothly. We find the analytical solutions to the time evolution after the interaction is turned off, which apply to arbitrary coupling functions. We investigate the final state of the system and compute all physically relevant quantities, such as average particle number, entanglement and change in energy. Our techniques can be applied to a wide range of scenarios, which include implementations of time dependent two-mode squeezing, coupled harmonic oscillators, harmonic oscillators coupled to light. Furthermore, these techniques can be extended to more complicated time-dependent quadratic Hamiltonians. We briefly discuss possible applications within the area of relativistic and quantum information.We study the full time evolution of a system of two modes of a bosonic quantum field that interact through quadratic hamiltonians. We specialise to a time dependent two-mode squeezing Hamiltonian where the coupling is switched on and off smoothly. We find the analytical solutions to the time evolution after the interaction is turned off, which apply to arbitrary coupling functions. We investigate the final state of the system and compute all physically relevant quantities, such as average particle number, entanglement and change in energy. Our techniques can be applied to a wide range of scenarios, which include implementations of time dependent two-mode squeezing, coupled harmonic oscillators, harmonic oscillators coupled to light. Furthermore, these techniques can be extended to more complicated time-dependent quadratic Hamiltonians. We briefly discuss possible applications within the area of relativistic and quantum information.

Jan 8, 20162 citations

Spin squeezing and quantum entanglement

Duger Ulam-Orgikh

Mar 25, 20020 citations

Entanglement and Spin Squeezing

Princeton University Press eBooksDec 13, 20100 citations

{X}_{1}{,P}_{1}

and the interaction with the optical field

{(X}_{2}{,P}_{2})

by a quadratic Hamiltonian

{X}_{1}{X}_{2}.

We show how this interaction can be used optimally to create entanglement and squeezing. We derive conditions for the efficient simulation of quadratic Hamiltonians and the engineering of all Gaussian operations and states.