FAST FORWARD QUANTUM DYNAMICS ON HALL SYSTEM
A method has been developed to accelerate the dynamics of a quantum system. This acceleration is achieved by applying a driving potential which makes the system evolve faster than the original evolution. This acceleration process could change the state of observed system. In order to solve that, ano...
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| Format: | Final Project |
| Language: | Indonesia |
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| Online Access: | https://digilib.itb.ac.id/gdl/view/32794 |
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| Institution: | Institut Teknologi Bandung |
| Language: | Indonesia |
| Summary: | A method has been developed to accelerate the dynamics of a quantum system. This acceleration is achieved by applying a driving potential which makes the system evolve faster than the original evolution. This acceleration process could change the state of observed system. In order to solve that, another method has been developed to adiabatically accelerate the dynamics of a system using an adiabatic parameter and regularization phase ?. A system which evolves adiabatically will be able to sustain its state, with the cost of needing longer time to evolve. Using this adiabatic acceleration, a system can reach the final state in a shorter amount of time. This accelerating method is applied to a system of an electron in a plane being affected with electric field and magnetic field perpendicular to each other. The system will be built in a way such that integer quantum hall effect which can maintain the system’s resistivity will occur. Electric field will be risen adiabatically so that the resistivity will stay at the same value. This research will show the Hamiltonian needed for the system to be accelerated adiabatically in order to maintain its resistivity. |
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