Master equation for a quantum particle in a gas

Abstract

The equation for the quantum motion of a Brownian particle in a gaseous environment is derived by means of S-matrix theory. This quantum version of the linear Boltzmann equation accounts non-perturbatively for the quantum effects of the scattering dynamics and describes decoherence and dissipation in a unified framework. As a completely positive master equation it incorporates both the known equation for an infinitely massive Brownian particle and the classical linear Boltzmann equation as limiting cases.

5 pages; published version

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• Decoherence from classically undetectable sources: A standard quantum limit for diffusion
• Unraveling Quantum Brownian Motion: Pointer States and their Classical Trajectories
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• Boltzmann equation approach to transport in finite modular quantum systems
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• Coherent collisional decoherence
• Simulation of open quantum systems
• A Monte Carlo Method for Modeling Thermal Damping: Beyond the Brownian-Motion Master Equation
• Two-point measurement energy statistics from particle scattering
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• Stochastic simulation algorithm for the quantum linear Boltzmann equation
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• Collisional Quantum Brownian Motion
• Decoherence: From Interpretation to Experiment
• Recoil Free Scattering From a Free Gas
• Visibility Fringe Reduction Due to Noise-Induced Effects: Microscopic Approach to Interference Experiments
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• Quantum Brownian motion as an iterated entanglement-breaking measurement by the environment
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• Minimal scattering entanglement in one-dimensional trapped gases
• Time scale of stationary decoherence
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• Collisional decoherence of a tracer particle moving in one dimension