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Investigation of Dissipation Effects in Quantum Emission and Problem of Classical Noise in Decoherence Process

Seifi, Mina | 2024

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  1. Type of Document: Ph.D. Dissertation
  2. Language: Farsi
  3. Document No: 57715 (03)
  4. University: Sharif University of Technology
  5. Department: Chemistry
  6. Advisor(s): Shafiee, Afshin
  7. Abstract:
  8. Recent studies suggest that the selectivity filter may exhibit quantum coherence, which could play a role in explaining the processes of ion selection and conduction. As the ion channel system interacts with its environment, it undergoes a decoherence process. In this thesis, the relationship between jump rates and coherence preservation in ion channels is examined initially. To this end, using the Lindblad master equation to describe a three-level system, results are analyzed in different quantum regimes. To directly study coherence in the system, distillable coherence was used as a coherence measure, and the second-order coherence function was calculated. As expected, distillable coherence drops to zero after the decoherence time, but it oscillates around zero at high jump rates, causing the system to remain coherent. The oscillation of distillable coherence from zero and the behavior of the second-order coherence function indicate that the system retains its coherence in ion channels with high jump rates. The next question that arises is whether a quantum approach is fundamentally reasonable for application in ion channel systems. To address this, after hypothesizing the preservation of coherence in ion channels, the quantum approach is compared with the classical noise model in this thesis. Specifically, quantum decoherence resulting from the entanglement of a single quantum system with environmental degrees of freedom is compared with apparent decoherence caused by averaging over a set of unitary evolutions generated by a random Hamiltonian in the ion channel system. This process was investigated using two spin-boson models with tunneling and classical noise, considering two common types of classical noise: Gaussian noise and Ornstein-Uhlenbeck noise. The results indicated that at high jump rates, the loss of coherence caused by white Gaussian noise is well-described by the spin-boson model considering an Ohmic environment at high temperature
  9. Keywords:
  10. Open Quantum System ; Quantum Biology ; Ion Channel ; Quantum Decoherence ; Lindblad Master Equation ; Spin-Boson Model ; Classical Noise

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