scholarly journals Quarkonia dynamics in the QGP with open quantum systems

2022 ◽  
Vol 258 ◽  
pp. 05009
Author(s):  
Stéphane Delorme ◽  
Thierry Gousset ◽  
Roland Katz ◽  
Pol-Bernard Gossiaux
Keyword(s):  
Real Time ◽  
Quark Gluon Plasma ◽  
Open Quantum Systems ◽  
Gluon Plasma ◽  
Quantum Systems ◽  
Master Equations ◽  
Temperature Evolution ◽  
One Dimension ◽  
Initial State ◽  
Time Dynamics

We investigate the real-time dynamics of a correlated heavy quarkantiquark pair inside the Quark-Gluon Plasma using new quantum master equations derived from first QCD principles and based on the work of Blaizot & Escobedo [4]. The full equations are directly numerically solved in one-dimension to reduce computing costs and is used to gain insight on the dynamics in both a static and evolving medium following a Björken-like temperature evolution. The effect of the initial state on the dynamics is also studied.

scholarly journals FROM COMPLEX TO STOCHASTIC POTENTIAL: HEAVY QUARKONIA IN THE QUARK–GLUON PLASMA

2013 ◽  
Vol 28 (08) ◽  
pp. 1330005 ◽  
Author(s):  
ALEXANDER ROTHKOPF
Keyword(s):  
Quark Gluon Plasma ◽  
First Principles ◽  
Bound States ◽  
Recent Progress ◽  
Open Quantum Systems ◽  
Gluon Plasma ◽  
Quantum Systems ◽  
Heavy Quarkonium ◽  
General Complex

The in-medium physics of heavy quarkonium is an ideal proving ground for our ability to connect knowledge about the fundamental laws of physics to phenomenological predictions. One possible route to take is to attempt a description of heavy quark bound states at finite temperature through a Schrödinger equation with an instantaneous potential. Here we review recent progress in devising a comprehensive approach to define such a potential from first principles QCD and extract its, in general complex, values from non-perturbative lattice QCD simulations. Based on the theory of open quantum systems we will show how to interpret the role of the imaginary part in terms of spatial decoherence by introducing the concept of a stochastic potential. Shortcomings as well as possible paths for improvement are discussed.

scholarly journals Stochastic Master Equations in Thermal Environment

2010 ◽  
Vol 17 (04) ◽  
pp. 389-408 ◽  
Author(s):  
Stéphane Attal ◽  
Clément Pellegrini
Keyword(s):  
Thermal Environment ◽  
Open Quantum Systems ◽  
Heat Bath ◽  
Measurement Model ◽  
Quantum Systems ◽  
Master Equations ◽  
Positive Temperature ◽  
Diffusion Type ◽  
Indirect Measurements ◽  
Pure Diffusion

We derive stochastic master equations which describe the evolution of open quantum systems in contact with a heat bath and undergoing indirect measurements. These equations are obtained as a limit of a quantum repeated measurement model where we consider a small system in contact with an infinite chain at positive temperature. It is well-known that at zero temperature one obtains stochastic differential equations of jump-diffusion type. We show that only pure diffusion type equations are relevant at strictly positive temperatures.

Real-time dynamics in complex quantum systems

2006 ◽  
Vol 322 (1-2) ◽  
pp. 1-2 ◽  
Author(s):  
Joachim Ankerhold ◽  
Eli Pollak
Keyword(s):  
Real Time ◽  
Quantum Systems ◽  
Time Dynamics

scholarly journals Generation of Quantum Correlations in Bipartite Gaussian Open Quantum Systems

2018 ◽  
Vol 173 ◽  
pp. 01006 ◽  
Author(s):  
Aurelian Isar
Keyword(s):  
Open Systems ◽  
Thermal Environment ◽  
Open Quantum Systems ◽  
Quantum Correlations ◽  
Quantum Systems ◽  
Thermal Bath ◽  
Initial State ◽  
Entanglement Generation ◽  
Strength Of Interaction ◽  
Zero Values

We describe the generation of quantum correlations (entanglement, discord and steering) in a system composed of two coupled non-resonant bosonic modes immersed in a common thermal reservoir, in the framework of the theory of open systems. We show that for separable initial squeezed thermal states entanglement generation may take place, for definite values of squeezing parameter, average photon numbers, temperature of the thermal bath, dissipation constant and strength of interaction between the two bosonic modes. We also show that for initial uni-modal squeezed states Gaussian discord can be generated for all non-zero values of the strength of interaction between the modes. Likewise, for an initial separable state, a generation of Gaussian steering may take place temporarily, for definite values of the parameters characterizing the initial state and the thermal environment, and the strength of coupling between the two modes.

scholarly journals Entanglement spreading and quasiparticle picture beyond the pair structure

2020 ◽  
Vol 8 (3) ◽  
Author(s):  
Alvise Bastianello ◽  
Mario Collura
Keyword(s):  
Quantum Systems ◽  
One Dimension ◽  
Many Body ◽  
Initial State ◽  
Perfect Agreement ◽  
Quasi Particle ◽  
Simple Assumption ◽  
The Common ◽  
Quasiparticle Picture ◽  
Number Of Particles

The quasi-particle picture is a powerful tool to understand the entanglement spreading in many-body quantum systems after a quench. As an input, the structure of the excitations' pattern of the initial state must be provided, the common choice being pairwise-created excitations. However, several cases exile this simple assumption. In this work we investigate weakly-interacting to free quenches in one dimension. This results in a far richer excitations' pattern where multiplets with a larger number of particles are excited. We generalize the quasi-particle ansatz to such a wide class of initial states, providing a small-coupling expansion of the Rényi entropies. Our results are in perfect agreement with iTEBD numerical simulations.

scholarly journals On Time-Local Generators of Quantum Evolution

2014 ◽  
Vol 21 (01n02) ◽  
pp. 1440004 ◽  
Author(s):  
Dariusz Chruściński
Keyword(s):  
Quantum Dynamics ◽  
Open Quantum Systems ◽  
Quantum Systems ◽  
Master Equations ◽  
Quantum Evolution ◽  
Completely Positive ◽  
Open Quantum ◽  
The Family

We present a basic introduction to the dynamics of open quantum systems based on local-in-time master equations. We characterize the properties of time-local generators giving rise to legitimate completely positive trace preserving quantum evolutions. The analysis of Markovian and non-Markovian quantum dynamics is presented as well. The whole discussion is illustrated by the family of many instructive examples.

scholarly journals Hilbert–Schmidt speed as an efficient figure of merit for quantum estimation of phase encoded into the initial state of open n-qubit systems

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Hossein Rangani Jahromi ◽  
Rosario Lo Franco
Keyword(s):  
Figure Of Merit ◽  
Open Quantum System ◽  
Open Quantum Systems ◽  
Quantum Fisher Information ◽  
Quantum Systems ◽  
Phase Estimation ◽  
System State ◽  
Initial State ◽  
Open Quantum ◽  
Derivatives Of

AbstractHilbert–Schmidt speed (HSS) is a special type of quantum statistical speed which is easily computable, since it does not require diagonalization of the system state. We find that, when both HSS and quantum Fisher information (QFI) are calculated with respect to the phase parameter encoded into the initial state of an n-qubit register, the zeros of the HSS dynamics are actually equal to those of the QFI dynamics. Moreover, the signs of the time-derivatives of both HSS and QFI exactly coincide. These findings, obtained via a thorough investigation of several paradigmatic open quantum systems, show that HSS and QFI exhibit the same qualitative time evolution. Therefore, HSS reveals itself as a powerful figure of merit for enhancing quantum phase estimation in an open quantum system made of n qubits. Our results also provide strong evidence for both contractivity of the HSS under memoryless dynamics and its sensitivity to system-environment information backflows to detect the non-Markovianity in high-dimensional systems, as suggested in previous studies.

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