Heavy quarkonium's relative motion in the quark-gluon plasma can be evolved with a Lindblad master equation whose stochastic unraveling includes drag, and in one-dimensional simulations the pair thermalizes with a temperature close to the medium's.
Fate of in-medium heavy quarks via a Lindblad equation
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abstract
What is the dynamics of heavy quarks and antiquarks in a quark gluon plasma? Can heavy-quark bound states dissociate? Can they (re)combine? These questions are addressed by investigating a Lindblad equation that describes the quantum dynamics of the heavy quarks in a medium. The Lindblad equations for a heavy quark and a heavy quark-antiquark pair are derived from the gauge theory, following a chain of well-defined approximations. In this work the case of an abelian plasma has been considered, but the extension to the non-abelian case is feasible. A one-dimensional simulation of the Lindblad equation is performed to extract information about bound-state dissociation, recombination and quantum decoherence for a heavy quark-antiquark pair. All these phenomena are found to depend strongly on the imaginary part of the inter-quark potential.
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Quantum Brownian motion of a heavy quark pair in the quark-gluon plasma
Heavy quarkonium's relative motion in the quark-gluon plasma can be evolved with a Lindblad master equation whose stochastic unraveling includes drag, and in one-dimensional simulations the pair thermalizes with a temperature close to the medium's.