# Simulation of Lindblad equations for quarkonium in the quark-gluon plasma

@article{Miura2022SimulationOL, title={Simulation of Lindblad equations for quarkonium in the quark-gluon plasma}, author={Takahiro Miura and Yukinao Akamatsu and Masayuki Asakawa and Yukana Kaida}, journal={Physical Review D}, year={2022} }

We study the properties of the Lindbladian quantum mechanical evolution of quarkonia with non-Abelian charges (color-singlet and octet) in the quark-gluon plasma. We conﬁrm that heavy quark recoils in the Lindblad equation correctly thermalize quarkonium colorful states within statistical errors from the simulation method. We also demonstrate that the Lindblad equation in the dipole limit can provide an eﬃcient alternative method, which is applicable to a ﬁnite time evolution before…

## References

SHOWING 1-10 OF 61 REFERENCES

### Approach to equilibrium of a quarkonium in a quark-gluon plasma

- PhysicsPhysical Review D
- 2018

We derive equations of motion for the reduced density matrix of a heavy quarkonium in contact with a quark-gluon plasma in thermal equilibrium. These equations allow in particular a proper treatment…

### Stochastic potential and quantum decoherence of heavy quarkonium in the quark-gluon plasma

- Physics
- 2012

We propose an open quantum systems approach to the physics of heavy quarkonia in a thermal medium, based on stochastic quantum evolution. This description emphasizes the importance of collisions with…

### Quarkonium propagation in the quark–gluon plasma

- Physics
- 2021

In relativistic heavy ion collisions at RHIC and the LHC, a quark gluon plasma (QGP) is created for a short duration of about 10fm/c. Quarkonia (bound states of cc̄ and bb̄) are sensitive probes of…

### Bottomonium suppression in an open quantum system using the quantum trajectories method

- Physics
- 2020

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…

### Heavy quark master equations in the Lindblad form at high temperatures

- Physics
- 2014

We derive the quantum master equations for heavy quark systems in a high-temperature quark- gluon plasma in the Lindblad form. The master equations are derived in the influence functional formalism…

### Medium evolution of a static quark-antiquark pair in the large Nc limit

- PhysicsPhysical Review D
- 2021

We study the transitions between the different color states of a static quark-antiquark pair, singlet and octet, in a thermal medium. This is done non-perturbatively exploiting the infinite mass…

### Quarkonium suppression in heavy-ion collisions: An open quantum system approach

- Physics
- 2016

We address the evolution of heavy-quarkonium states in an expanding quark-gluon plasma by implementing effective field theory techniques in the framework of open quantum systems. In this setting we…

### Quantum and classical dynamics of heavy quarks in a quark-gluon plasma

- PhysicsNuclear Physics A
- 2019

A bstractWe derive equations for the time evolution of the reduced density matrix of a collection of heavy quarks and antiquarks immersed in a quark gluon plasma. These equations, in their original…

### Heavy quarkonium suppression in a fireball

- Physics
- 2016

We perform a comprehensive study of the time evolution of heavy-quarkonium states in an expanding hot QCD medium by implementing effective field theory techniques in the framework of open quantum…

### Quarkonium in-medium transport equation derived from first principles

- PhysicsPhysical Review D
- 2019

We use the open quantum system formalism to study the dynamical in-medium evolution of quarkonium. The system of quarkonium is described by potential nonrelativistic QCD while the environment is a…