FAST-FORWARD OF ADIABATIC DYNAMICS OF SPIN-1/2 SYSTEMS IN SCHRÃDINGER EQUATION AND (2+1)-DIMENSION MASSLESS DIRAC EQUATION
After successfully described some phenomena that cannot be explained by classical mechanics, researchers now find some ways to control a system using quantum mechanics. One of them is adiabatic control, where some parameters of Hamiltonian change slowly. Adiabatic control is useful to control a s...
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| Format: | Theses |
| Language: | Indonesia |
| Online Access: | https://digilib.itb.ac.id/gdl/view/52971 |
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| Institution: | Institut Teknologi Bandung |
| Language: | Indonesia |
| Summary: | After successfully described some phenomena that cannot be explained by classical
mechanics, researchers now find some ways to control a system using quantum mechanics.
One of them is adiabatic control, where some parameters of Hamiltonian
change slowly. Adiabatic control is useful to control a system without any transition
between quantum levels. However, due to the lack of speed of adiabaticity, one needs
some ways to produce the same result in shorter time. This can be done by using
a class of methods called shortcuts to adiabaticity. This thesis provides such method
to the spin-1/2 systems. The first part of this thesis is based on Schrödinger equation
with applications to a single quantum bit (qubit) system and two qubits systems.
And the second part discusses a shortcut to adiabaticity method for massless Dirac
equation in (2+1)-dimensions. |
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