Decoherence

Quantum Mechanics · Part 9

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Table of Contents

  1. 1.The Measurement Problem
  2. 2.System-Environment Interaction
  3. 3.Reduced Density Matrix Evolution
  4. 4.Pointer States
  5. 5.Decoherence Timescales
  6. 6.Master Equation Approach
  7. 7.Quantum-to-Classical Transition
  8. 8.Experimental Demonstrations
  9. 9.Quantum Error Correction
  10. 10.Decoherence-Free Subspaces

Key Equations

$$|\psi\rangle = \frac{1}{\sqrt{2}}(|0\rangle + |1\rangle) \quad \xrightarrow{\text{measure}} \quad \begin{cases} |0\rangle & \text{prob } 1/2 \\ |1\rangle & \text{prob } 1/2 \end{cases}$$
$$|\Psi(t)\rangle = \sum_i c_i |i\rangle_S \otimes |E_i(t)\rangle$$
$$\hat{\rho}_S(t \to \infty) = \sum_i |c_i|^2 |i\rangle\langle i|$$
$$\frac{\tau_D}{\tau_S} \sim 10^{-40} \quad \text{(macroscopic objects)}$$

Equations are rendered with MathJax in the PDF with professional LaTeX typesetting.

Course Context

This PDF is part of the Quantum Mechanics course on CoursesHub.World. Master quantum mechanics from mathematical foundations to advanced topics. Covers Hilbert spaces, wave functions, angular momentum, perturbation theory, scattering, and path integrals with 450+ pages ...

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