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Publication Date

2010-09-22

Availability

UM campus only

Degree Type

Dissertation

Degree Name

Doctor of Philosophy (PHD)

Department

Physics (Arts and Sciences)

Date of Defense

2010-06-25

First Committee Member

Thomas Curtright - Committee Chair

Second Committee Member

Luca Mezincescu - Committee Member

Third Committee Member

Josef Ashkenazi - Committee Member

Fourth Committee Member

Carolyne Van Vliet - Committee Member

Abstract

We study the entanglement of two-qubit systems resulting from local interactions with spatially extended bosonic systems. Our results apply to the case where the initial state of the bosonic system is represented by a statistical mixture of states with fixed particle number. In particular, we derive and discuss necessary conditions to generate entanglement in the two-qubit system. We also study the scenario where the joint system is initially in its ground state and the interaction is switched on adiabatically. Using time independent perturbation theory and the adiabatic theorem, we show conditions under which the qubits become entangled as the joint system evolves into the ground state of the interacting theory

Keywords

Quantum Entanglement

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