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Entanglement Survival Time in Landau-Zener Model in the Presence of Dissipation

Babakan, Melika | 2020

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 53558 (04)
  4. University: Sharif University of Technology
  5. Department: Physics
  6. Advisor(s): Memarzadeh, Laleh
  7. Abstract:
  8. Entanglement is one of the unique phenomena in quantum systems that does not have any similar phenomena in classical systems. Entanglement has been used in many protocols of quantum information theory, and there is agreement on its key role in quantum computations and quantum communication protocols. Therefore, studying its dynamics as well as preventing its degradation is important for us. Extensive studies have been done in this field, including the study of entanglement evolution in a situation where all parts of the system are entangled with one of its sub-system has irreversible dynamics due to interaction with its environment [1], [2], [3], [4], [5], [6], [7], [8]. However, the study of entanglement behavior in situations that are closer to reality and experience still needs to be studied more broadly. In [9] Assuming a specific Markovian dynamic for one of the entangled state, the relationship between entanglement survival time and noise dis- sipation is discussed. In this dissertation, by considering the Hamilton of Landau-Zener time dependence, we obtain the exact form of the dynamic equation in the Markov approx- imation and by solving it in the adiabatic regime, we examine the exact time of survival of entanglement and the parameters affecting it
  9. Keywords:
  10. Entanglement ; Dissipative Landau-Zener Model ; Time-Dependent Hamiltonian ; Survival Time

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