THE DENSITY MATRIX PROPAGATOR OF PARTICLE- ENVIRONMENT INTERACTION AS QUANTUM BROWNIAN MOTION USING THE CALDEIRA-LEGGETT MODEL
An open quantum system that interacts with its environment will undergo quantum dissipation. Both systems can be modeled using the Caldeira-Leggett Model, which views the environment as a collection of harmonic oscillators interacting with the system under consideration. By using the Feynman-Vern...
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| Format: | Final Project |
| Language: | Indonesia |
| Online Access: | https://digilib.itb.ac.id/gdl/view/83804 |
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| Institution: | Institut Teknologi Bandung |
| Language: | Indonesia |
| Summary: | An open quantum system that interacts with its environment will undergo quantum
dissipation. Both systems can be modeled using the Caldeira-Leggett Model, which
views the environment as a collection of harmonic oscillators interacting with the
system under consideration. By using the Feynman-Vernon Influence Functional
and assuming that the interaction between the system and the environment is linear,
the density matrix propagator of this quantum system can be obtained. From this
propagator, the Master Equation, which describes the evolution of the quantum
system, can also be derived. It is also shown that, in the high-temperature classical
limit, this quantum system reduces to the Langevin equation, which forms the basis
of Brownian motion. This is the reason why the Caldeira-Leggett Model is referred
to as a model of quantum Brownian motion.
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