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Journal of Atomic and Molecular Physics

Preparation of W class states of multiparticle by adiabatic passage

Xiaodong Wu

Published Jan 1, 2006• 0 citations
OpenAlex

Abstract

We describe a novel technique for preparing the multiparticle W class states,which are based on adiabatic passage induced a suitably crafted time-dependent external field.We have derived the interaction Hamiltonian,and the adiabatic and diabatic evolution conditions of driving the system of n-spin-12 particles from initial unentangled state to the W class state.In addition,we show the diagram of the energies evolution and the populations of target state of transferring the system of three spin-12 particles from initial unentangled state to target entangled state of Wtype.

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We describe a novel technique for preparing the multiparticle W class states,which are based on adiabatic passage induced a suitably crafted time-dependent external field.We have derived the interaction Hamiltonian,and the adiabatic and diabatic evolution conditions of driving the system of n-spin-12 particles from initial unentangled state to the W class state.In addition,we show the diagram of the energies evolution and the populations of target state of transferring the system of three spin-12 particles from initial unentangled state to target entangled state of Wtype.
We propose a technique for robust and efficient navigation in the Hilbert space of entangled symmetric states of a multiparticle system with externally controllable linear and nonlinear collective interactions. A linearly changing external field applied along the quantization axis creates a network of well separated level crossings in the energy diagram of the collective states.One or more transverse pulsed fields applied at the times of specific level crossings induce adiabatic passage between these states. By choosing the timing of the pulsed field appropriately, one can transfer an initial product state of all N spins into (i) any symmetric state with n spin excitations and (ii) the N-particle analog of the Greenberger-Horne-Zeilinger state. This technique, unlike techniques using pulses of specific area, does not require precise knowledge of the number of particles and is robust against variations in the interaction parameters. We discuss potential applications in two-component Bose condensates and ion-trap systems.
A scheme is proposed for generating a multiparticle three-dimensional entangled state by appropriately adiabatic evolutions, where atoms are respectively trapped in separated cavities so that individual addressing is needless. In the ideal case, losses due to the spontaneous transition of an atom and the excitation of photons are efficiently suppressed since atoms are all in ground states and the fields remain in a vacuum state. Compared with the previous proposals, the present scheme reduces its required operation time via simultaneously controlling four classical fields. This advantage would become even more obvious as the number of atoms increases. The experimental feasibility is also discussed. The successful preparation of a high-dimensional multiparticle entangled state among distant atoms provides better prospects for quantum communication and distributed quantum computation.
In this paper, we study the fast and noise-resistant population transfer, quantum entangled states preparation, and quantum entangled states' transition by constructing the shortcuts to adiabatic passage (STAP) for multiparticle based on the approach of "Lewis-Riesenfeld invariants" in distant cavity quantum electronic dynamics (QED) system. Numerical simulation demonstrates that all of the schemes are fast and robust against the decoherence caused by atomic spontaneous emission and photon leakage. Moreover, not only the total operation time but also the robustness in each scheme against decoherence is irrelevant to the number of qubits. This might lead to a useful step toward realizing the fast and noise-resistant quantum information processing in current technology.