Please use this identifier to cite or link to this item: http://scholarbank.nus.edu.sg/handle/10635/137191
Title: NON-ABELIAN GEOMETRICAL QUANTUM GATE OPERATION IN AN ULTRACOLD STRONTIUM GAS
Authors: FREDERIC JEAN FRANCOIS MARIE LEROUX
Keywords: cold atoms,geometric phase,non-Abelian,gauge field,Strontium,tripod
Issue Date: 8-Apr-2017
Citation: FREDERIC JEAN FRANCOIS MARIE LEROUX (2017-04-08). NON-ABELIAN GEOMETRICAL QUANTUM GATE OPERATION IN AN ULTRACOLD STRONTIUM GAS. ScholarBank@NUS Repository.
Abstract: The work developed in this PhD thesis is about geometric operation on a single qubit. If the external control parameters vary slowly, the quantum system evolves adiabatically in a sub-space composed of two degenerate eigenstates. After a closed loop in the space of the external parameters, the qubit acquires a geometrical rotation, which can be described by a unitary matrix in the Hilbert space of the two-level system. To the geometric rotation corresponds a non-Abelian gauge field. In this work, the qubit and the adiabatic geometrical quantum gates are implemented on a cold gas of atomic Strontium 87, trapped and cooled at the vicinity of the recoil temperature. The internal Hilbert space of the cold atoms has for basis the dressed states issued from the atom-light interaction of three lasers within a tripod configuration.
URI: http://scholarbank.nus.edu.sg/handle/10635/137191
Appears in Collections:Ph.D Theses (Open)

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