First-principles quantum simulations of many-mode open interacting Bose gases using stochastic gauge methods
-- PhD thesis, P. Deuar
Front matter, etc.
1. Introduction: Quantum many-body simulations
2. System of choice: Open interacting Bose gases
Part A: Phase-space distribution methods for many-mode quantum mechanics
3. Generalized quantum phase-space representations
4. Stochastic gauges
5. The gauge P representation
6. Boundary term errors and their removal
Part B: Development of gauges for interactibng Bose gases
7. Gauges fot single-mode interacting Bose gas dynamics
8. Dynamics of two coupled Bose gas modes
9. Single-mode interacting Bose gas thermodynamics
Part C: Examples of many-mode simulations
10. Many-mode dynamics
11. Thermodynamics of a one-dimensional Bose gas
12. Conclusions
Bibliography
Technical appendices
A. Exponentials of Gaussian random variables
B. Some details of stochastic calculus
C. Quotients of means of random variables
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