QTRAJ 1.0: A Lindblad equation solver for heavy-quarkonium dynamics

Abstract

We introduce an open-source package called QTraj that solves the Lindblad equation for heavy-quarkonium dynamics using the quantum trajectories algorithm. The package allows users to simulate the suppression of heavy-quarkonium states using externally-supplied input from 3+1D hydrodynamics simulations. The code uses a split-step pseudo-spectral method for updating the wave-function between jumps, which is implemented using the open-source multi-threaded FFTW3 package. This allows one to have manifestly unitary evolution when using real-valued potentials. In this paper, we provide detailed documentation of QTraj 1.0, installation instructions, and present various tests and benchmarks of the code.

35 pages, 10 figures; v2 - minor typos fixed; published version

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• Predictions for the sPHENIX physics program
• The complex heavy-quark potential in an anisotropic quark-gluon plasma -- Statics and dynamics
• Dynamics of in-medium quarkonia in SU(3) and SU(2) gauge theories
• The impact of fluctuating initial conditions on bottomonium suppression in 5.02 TeV heavy-ion collisions
• Bottomonium suppression at RHIC and LHC in an open quantum system approach
• Quarkonium Polarization in Medium from Open Quantum Systems and Chromomagnetic Correlators
• Transverse momentum dependent feed-down fractions for bottomonium production
• Non-equilibrium evolution of quarkonium in medium in the open quantum system approach