Loading...

Quantum Markovian Evolutions in Adiabatic and Nonadiabatic Regimes

Kashef, Arman | 2021

738 Viewed
  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 54429 (04)
  4. University: Sharif University of Technology
  5. Department: Physics
  6. Advisor(s): Memarzadeh, Laleh
  7. Abstract:
  8. In this thesis, our aim is to analyse the environment effects on adiabatic and non-adiabatic evolutions. In this regard, first we need to establish a suitable framework for describing the dynamics. While describing the evolution of a quantum system without interaction with its surrounding environment is easy, describing the time evolution of a quantum system in interaction with its surrounding environment is challenging. In this thesis, first we review the formalism for deriving the Markovian master equation for describing the evolution of a system in weak coupling limit. In the standard formalism, it is assumed that the system Hamiltonian is time-independent. But as our aim is to analyse environment effects on adiabatic/non-adiabatic evolutions, we continue with describing how the Markovian master equation is derived for a system with time-dependent Hamiltonian. Then for two-level and three-level Landau-Zener systems we derive the master equation analytically. By solving the master equations numerically, we study the transition probabilities between different energy levels and comparing these transition probabilities in presence and absence of the external environment, we discuss how interaction with the environment affects the adiabatic/non-adiabatic evolution
  9. Keywords:
  10. Open Quantum System ; Markovian Quantum Process ; Quantum Markovian Master Equation ; Adiabatic Evolution

 Digital Object List

 Bookmark

  • فهرست تصاویر
  • مقدمه
  • دینامیک سیستم‌های کوانتومی
    • سیستم های کوانتومی بسته
    • سیستم های کوانتومی باز
      • کلی‌ترین نگاشت تحول
      • سیستم کوانتومی مارکوفی
  • فرآیند های آدیاباتیک
    • فرآیند آدیاباتیک و غیر آدیاباتیک بسته
    • فرآیند آدیاباتیک و غیر آدیاباتیک مارکوفی
  • مدل لاندائو-زنر
    • احتمال گذار در سیستم لاندائو-زنر در عدم حضور حمام گرمایی
      • سیستم لاندائو -زنر دوترازه
      • سیستم لاندائو -زنر سه‌ترازه
    • احتمال گذار در سیستم لاندائو-زنر در حضور حمام گرمایی
      • سیستم لاندائو-زنر دوترازه
      • سیستم لاندائو-زنر سه‌ترازه
  • خلاصه و نتیجه‌گیری
  • کتاب‌نامه
...see more