Quantum dynamics in phase space: From coherent states to the Gaussian representation

Abstract

We give an outlook on the future of coherence theory and many-body quantum dynamics as experiments develop in the arena of ultra-cold atoms. Novel results on quantum heating of center-of-mass temperature in evaporative cooling and simulation methods for long-range interactions are obtained, using positive-P phase-space techniques.

16 pages; minor amendments - typos, some formatting, updated references

References in corpus (7)

• The density-matrix renormalization group
• Camparison of the Hanbury Brown-Twiss effect for bosons and fermions
• Gaussian phase-space representations for fermions
• First-principles quantum dynamics in interacting Bose gases I: The positive P representation
• First-principles quantum simulations of dissociation of molecular condensates: Atom correlations in momentum space
• Symmetry projection schemes for Gaussian Monte Carlo methods
• The time-reversal test for stochastic quantum dynamics

Cited by in corpus (4)

• Phase space representation of quantum dynamics
• Quantum correlation in degenerate optical parametric oscillators with mutual injections
• Classical spin dynamics based on SU($N$) coherent states
• Quantum dynamics of long-range interacting systems using the positive-P and gauge-P representations