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Title: Study of work on a quantum harmonic oscillator
Author: Arazo Sánchez, Maria
Director/Tutor: Juliá-Díaz, Bruno
Keywords: Teoria quàntica
Treballs de fi de grau
Quantum theory
Bachelor's thesis
Issue Date: Jan-2017
Abstract: We define the work probability distribution that is done to a quantum system during some process, from which the average work, its variance and the irreversible work can be obtained. Two limits are introduced according to whether the system evolves adiabatically or it undergoes an instantaneous quench. The time evolution of this system is obtained by solving numerically the time dependent Schrödinger equation through the Crank-Nicolson method. The two limit situations are explored for the simple case of a quantum harmonic oscillator with a time dependent Hamiltonian, as well as the intermediate regime between both limits. The results for the average work done during the process and its variance agree with the analytical expressions for the two limits. Finally, we study the work probability distribution during a shortcut to adiabacity protocol.
Note: Treballs Finals de Grau de Física, Facultat de Física, Universitat de Barcelona, Curs: 2017, Tutor: Bruno Juliá Díaz
Appears in Collections:Treballs Finals de Grau (TFG) - Física

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