quantum trajectories
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2022 ◽  
Vol 258 ◽  
pp. 05005
Author(s):  
Peter Vander Griend

We solve the Lindblad equation describing the Brownian motion of a Coulombic heavy quark-antiquark pair in a strongly coupled quark gluon plasma using the Monte Carlo wave function method. The Lindblad equation has been derived in the framework of pNRQCD and fully accounts for the quantum and non-Abelian nature of the system. The hydrodynamics of the plasma is realistically implemented through a 3+1D dissipative hydrodynamics code. We compute the bottomonium nuclear modification factor and elliptic flow and compare with the most recent LHC data. The computation does not rely on any free parameter, as it depends on two transport coefficients that have been evaluated independently in lattice QCD. Our final results, which include late-time feed down of excited states, agree well with the available data from LHC 5.02 TeV PbPb collisions.


2021 ◽  
Vol 104 (9) ◽  
Author(s):  
Nora Brambilla ◽  
Miguel Ángel Escobedo ◽  
Michael Strickland ◽  
Antonio Vairo ◽  
Peter Vander Griend ◽  
...  

Author(s):  
Tristan Benoist ◽  
Cédric Bernardin ◽  
Raphaël Chetrite ◽  
Reda Chhaibi ◽  
Joseph Najnudel ◽  
...  
Keyword(s):  

2021 ◽  
Vol 22 (15) ◽  
pp. 8282
Author(s):  
Ciann-Dong Yang ◽  
Shiang-Yi Han

Ammonia is a well-known example of a two-state system and must be described in quantum-mechanical terms. In this article, we will explain the tunneling phenomenon that occurs in ammonia molecules from the perspective of trajectory-based quantum dynamics, rather than the usual quantum probability perspective. The tunneling of the nitrogen atom through the potential barrier in ammonia is not merely a probability problem; there are underlying reasons and mechanisms explaining why and how the tunneling in ammonia can happen. Under the framework of quantum Hamilton mechanics, the tunneling motion of the nitrogen atom in ammonia can be described deterministically in terms of the quantum trajectories of the nitrogen atom and the quantum forces applied. The vibrations of the nitrogen atom about its two equilibrium positions are analyzed in terms of its quantum trajectories, which are solved from the Hamilton equations of motion. The vibration periods are then computed by the quantum trajectories and compared with the experimental measurements.


Author(s):  
Dario Cilluffo ◽  
Giuseppe Buonaiuto ◽  
Igor Lesanovsky ◽  
Angelo Carollo ◽  
Salvatore Lorenzo ◽  
...  

2021 ◽  
Vol 103 (5) ◽  
Author(s):  
Harry J. D. Miller ◽  
M. Hamed Mohammady ◽  
Martí Perarnau-Llobet ◽  
Giacomo Guarnieri

2021 ◽  
Vol 2021 (5) ◽  
Author(s):  
Nora Brambilla ◽  
Miguel Ángel Escobedo ◽  
Michael Strickland ◽  
Antonio Vairo ◽  
Peter Vander Griend ◽  
...  

Abstract We solve the Lindblad equation describing the Brownian motion of a Coulombic heavy quark-antiquark pair in a strongly coupled quark-gluon plasma using the highly efficient Monte Carlo wave-function method. The Lindblad equation has been derived in the framework of pNRQCD and fully accounts for the quantum and non-Abelian nature of the system. The hydrodynamics of the plasma is realistically implemented through a 3+1D dissipative hydrodynamics code. We compute the bottomonium nuclear modification factor and compare with the most recent LHC data. The computation does not rely on any free parameter, as it depends on two transport coefficients that have been evaluated independently in lattice QCD. Our final results, which include late-time feed down of excited states, agree well with the available data from LHC 5.02 TeV PbPb collisions.


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