Quantum dynamics with stochastic gauge simulations

Abstract

The general idea of a stochastic gauge representation is introduced and compared with more traditional phase-space expansions, like the Wigner expansion. Stochastic gauges can be used to obtain an infinite class of positive-definite stochastic time-evolution equations, equivalent to master equations, for many systems including quantum time-evolution. The method is illustrated with a variety of simple examples ranging from astrophysical molecular hydrogen production, through to the topical problem of Bose-Einstein condensation in an optical trap and the resulting quantum dynamics.

21 pages, 4 figures

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• Symplectic tomography as classical approach to quantum systems
• Biological Evolution and Statistical Physics
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• Master Equation for Hydrogen Recombination on Grain Surfaces
• Quantum dynamics of evaporatively cooled Bose-Einstein Condensates
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Cited by in corpus (21)

• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• Correlations in a BEC collision: First-principles quantum dynamics with 150 000 atoms
• Gaussian quantum Monte Carlo methods for fermions
• Non-local pair correlations in the 1D Bose gas at finite temperature
• First-principles quantum dynamics in interacting Bose gases I: The positive P representation
• First-principles quantum dynamics in interacting Bose gases II: stochastic gauges
• Hybrid phase-space simulation method for interacting Bose fields
• Exact Real Time Dynamics of Quantum Spin Systems Using the Positive-P Representation
• The time-reversal test for stochastic quantum dynamics
• Stochastic Differential Equations for Quantum Dynamics of Spin-Boson Networks
• Quantum dynamics in ultra-cold atomic physics
• Monte Carlo techniques for real-time quantum dynamics
• Quantum dynamics of long-range interacting systems using the positive-P and gauge-P representations
• First-principles quantum dynamics for fermions: Application to molecular dissociation
• Nearly quantum-limited Josephson-junction Frequency Comb synthesizer
• Exploring the growth of correlations in a quasi one-dimensional trapped Bose gas
• Time-Evolving Weiss Fields in the Stochastic Approach to Quantum Spins
• Stochastic correction to the Maxwell-Bloch equations via the positive $P$ representation
• Extinction in a self-regulating population with demographic and environmental noise
• Trajectory-Resolved Weiss Fields for Quantum Spin Dynamics
• Benchmarking quantum phase-space methods for near-resonant light propagation