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PhD Thesis_Ajaharul_July 22.pdf (11.16 MB)

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Heavy Quarkonium Suppression in the Quark-Gluon Plasma Using Real-time Quantum Field Theory for an Open Quantum System

Islam, Ajaharul
http://orcid.org/0000-0001-8174-907X
http://rave.ohiolink.edu/etdc/view?acc_num=kent1720655954009391

Abstract Details

2024, PHD, Kent State University, College of Arts and Sciences / Department of Physics.
Numerous previous investigations of in-medium quarkonium suppression have tacitly relied on an adiabatic approximation, presuming that the potential governing heavy quark interactions evolves slowly with time. In this adiabatic scenario, one can decouple the calculation of the in-medium breakup rate and the temporal evolution of the medium, combining them only at the conclusion of the analysis. We relax this assumption by solving the 3d Schr¨odinger equation in real-time in order to compute quarkonium suppression dynamically. We introduce a method for reducing anisotropic heavy-quark potentials to isotropic potentials by using an effective screening mass that depends on the quantum numbers l and m of a given state. We demonstrate that using the resulting 1D effective potential model, one can solve a 1D Schr¨odinger equation and reproduce the full 3D results for the energies and binding energies of low-lying heavy-quarkonium bound states to relatively high accuracy. We introduce a framework called Heavy Quarkonium Quantum Dynamics (HQQD) which can be used to compute the dynamical suppression of heavy quarkonia propagating in the quark-gluon plasma using real-time in-medium quantum evolution. Using HQQD we compute large sets of real-time solutions to the Schr¨odinger equation using a realistic in-medium complex-valued potential. We sample 2 million quarkonia wave packet trajectories and evolve them through the QGP using HQQD to obtain their survival probabilities. Using the potential non-relativistic quantum chromodynamics (pNRQCD) effective field theory, we derive a Lindblad equation for the evolution of the heavy-quarkonium reduced density matrix that is accurate to next-to-leading order (NLO) in the ratio of the binding energy of the state to the temperature of the medium. The resulting NLO Lindblad equation can be used to more reliably describe heavy-quarkonium evolution in the quark-gluon plasma at low temperatures compared to the leading-order truncation. For phenomenological application, we numerically solve the resulting NLO Lindblad equation using the quantum trajectories algorithm. To achieve this, we map the solution of the three dimensional Lindblad equation to the solution of an ensemble of one-dimensional Schr¨odinger evolutions with Monte-Carlo sampled quantum jumps. Averaging over the Monte-Carlo sampled quantum jumps, we obtain the solution to the NLO Lindblad equation without truncation in the angular momentum quantum number of the states considered. We demonstrate the importance of quantum jumps in the nonequilibrium evolution of bottomonium states in the quark-gluon plasma. We evolve the density matrix of color singlet and octet pairs. We show that quantum regeneration of singlet states from octet configurations is necessary to understand experimental results for the suppression of both bottomonium ground and excited states.
Michael Strickland (Advisor)
Spyridon Margetis (Committee Chair)
Soumitra Basu (Committee Member)
John Portman (Committee Member)
Barry Dunietz (Committee Member)
Declan Keane (Committee Member)
214 p.
Nuclear Physics; Physics; Theoretical Physics
Heavy Ion Collision, Quark-Gluon Plasma, Heavy Quarkonium Suppression, pNRQCD, Open Quantum System

Recommended Citations

Citations

  • Islam, A. (2024). Heavy Quarkonium Suppression in the Quark-Gluon Plasma Using Real-time Quantum Field Theory for an Open Quantum System [Doctoral dissertation, Kent State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=kent1720655954009391

    APA Style (7th edition)

  • Islam, Ajaharul. Heavy Quarkonium Suppression in the Quark-Gluon Plasma Using Real-time Quantum Field Theory for an Open Quantum System . 2024. Kent State University, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=kent1720655954009391.

    MLA Style (8th edition)

  • Islam, Ajaharul. "Heavy Quarkonium Suppression in the Quark-Gluon Plasma Using Real-time Quantum Field Theory for an Open Quantum System ." Doctoral dissertation, Kent State University, 2024. http://rave.ohiolink.edu/etdc/view?acc_num=kent1720655954009391

    Chicago Manual of Style (17th edition)

kent1720655954009391
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© 2024, all rights reserved.
This open access ETD is published by Kent State University and OhioLINK.