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22.51

Quantum Technology and Devices

3-0-9 units · Graduate

Examines the unique features of quantum theory to generate technologies with capabilities beyond any classical device. Introduces fundamental concepts in applied quantum mechanics, tools and applications of quantum technology, with a focus on quantum information processing beyond quantum computation. Includes discussion of quantum devices and experimental platforms drawn from active research in academia and industry. Students taking graduate version complete additional assignments.

Fall 2012 · Quantum Theory of Radiation Interactions

Topics

  • Introduction: mathematical basis for quantum mechanics
  • Postulates of quantum mechanics
  • Two-level systems
  • Time evolution
  • Schrodinger / Heisenberg / interaction representation; wavefunction
  • Multi-particle systems: tensor product spaces
  • Entanglement
  • Mixed states and the density matrix
  • Entropy and thermal states
  • Open quantum dynamics: introduction and Krauss forms
  • Liouville equation and Lindblad formalism
  • Liouville equation and Lindblad formalism (cont.)
  • Introduction to the harmonic oscillator
  • Number and coherent states
  • The electromagnetic field
  • Quantized fields
  • Time-independent perturbation theory
  • Time-independent perturbation theory (cont.)
  • Time-dependent perturbation theory
  • Stimulated and spontaneous emission
  • Interaction of the EM field with atoms
  • Scattering theory
  • Scattering examples
  • Applications

Readings

  • Sakurai, J. J., and Jim Napolitano. Modern Quantum Mechanics . 2nd ed. Addison-Wesley, 2010. ISBN: 9780805382914.
    Listed reading
  • Le Bellac, Michel. Quantum Physics . Cambridge University Press, 2012. ISBN: 9781107602762.
    Listed reading
  • Chen, Sow-Hsin, and Michael Kotlarchyk. Interaction of Photons and Neutrons With Matter: An Introduction . World Scientific Publishing, 1997. ISBN: 9789810220266.
    Listed reading

Prerequisites & course information

Same subject as 8.751[J] Subject meets with 22.022 Prereq: 22.11 G (Spring) 3-0-9 units

Sources