Benchmarking quantum phase-space methods for near-resonant light propagation

Abstract

We study the dynamics of light interacting with a near-resonant atomic medium using the truncated Wigner and positive P phase-space representations. The atomic degrees of freedom are described using the Jordan-Schwinger mapping. The dynamics is first analyzed under unitary evolution and subsequently in the presence of an optical reservoir. While both approaches capture the main features of the light-matter dynamics, we find that the truncated Wigner approximation exhibits noticeable deviations for stronger interaction strengths and when reservoir-induced noise becomes significant.

9 pages, 2 figures

References in corpus (22)

• Phase space representation of quantum dynamics
• Dynamics and statistical mechanics of ultra-cold Bose gases using c-field techniques
• The truncated Wigner method for Bose condensed gases: limits of validity and applications
• Non-equilibrium Berezinskii-Kosterlitz-Thouless Transition in a Driven Open Quantum System
• Correlations in a BEC collision: First-principles quantum dynamics with 150 000 atoms
• Gauge P-representations for quantum-dynamical problems: Removal of boundary terms
• Numerical representation of quantum states in the positive-P and Wigner representations
• Simulations and Experiments on Polarisation Squeezing in Optical Fibre
• Dynamical critical exponents in driven-dissipative quantum systems
• Overview of the phase space formulation of quantum mechanics with application to quantum technologies
• Beyond the Fokker-Planck equation: Stochastic Simulation of Complete Wigner representation for the Optical Parametric Oscillator
• Phase-Space Methods for Simulating the Dissipative Many-Body Dynamics of Collective Spin Systems
• Quantum dynamics with stochastic gauge simulations
• Non-Gaussian pure states and positive Wigner functions
• Hybrid phase-space simulation method for interacting Bose fields
• Exact Real Time Dynamics of Quantum Spin Systems Using the Positive-P Representation
• Atomic mercury vapor inside a hollow-core photonic crystal fiber
• User-friendly TWA for dissipative spin dynamics
• Quantum dynamics of long-range interacting systems using the positive-P and gauge-P representations
• Spatially resolved spectroscopy of alkali metal vapour diffusing inside hollow-core photonic crystal fibres
• Quantum squeezing via self-induced transparency in a photonic crystal fiber
• Squeezing via self-induced transparency in mercury-filled photonic crystal fibers