Taming the Dynamical Sign Problem in Diagrammatic Algorithms for Open Quantum Systems

Taming the Dynamical Sign Problem in Diagrammatic Algorithms for Open Quantum Systems

Institute for Pure & Applied Mathematics (IPAM) via YouTube Direct link

Natural numerical scheme

22 of 27

22 of 27

Natural numerical scheme

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Taming the Dynamical Sign Problem in Diagrammatic Algorithms for Open Quantum Systems

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  1. 1 Intro
  2. 2 Example
  3. 3 Different approaches
  4. 4 Price to pay
  5. 5 Framework
  6. 6 Notation
  7. 7 Naming time
  8. 8 Bad propagator
  9. 9 Applying perturbation theory
  10. 10 Simplifying assumptions
  11. 11 The Brick Theorem
  12. 12 The Full Propagator
  13. 13 The Hamiltonian
  14. 14 Propagator
  15. 15 Bb
  16. 16 Analytical sign problem
  17. 17 The inchworm
  18. 18 Interim expansion
  19. 19 Mathematical terminologies
  20. 20 Integral differential interpretation
  21. 21 OD representation
  22. 22 Natural numerical scheme
  23. 23 Interim diagram
  24. 24 Numerical examples
  25. 25 Can we do something better
  26. 26 Design a better numerical scheme
  27. 27 A good starting point

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