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The description of interacting quantum impurity models in steady-state nonequilibrium is an open challenge for computational many-particle methods: the numerical requirement of using a finite number of lead levels and the physical…

Strongly Correlated Electrons · Physics 2016-11-08 Frauke Schwarz , Moshe Goldstein , Antonius Dorda , Enrico Arrigoni , Andreas Weichselbaum , Jan von Delft

Elliptic flow has been one of the key observables for establishing the finding of the quark-gluon plasma (QGP) at the highest energies of Relativistic Heavy Ion Collider (RHIC) and the Large Hadron Collider (LHC). As a sign of collectively…

Nuclear Theory · Physics 2015-06-17 Jussi Auvinen , Hannah Petersen

Open quantum systems play a central role in contemporary nanoscale technologies, including molecular electronics, quantum heat engines, quantum computation and information processing. A major theoretical challenge is to construct dynamical…

Quantum Physics · Physics 2026-02-16 Stefano Giordano , Giuseppe Florio , Giuseppe Puglisi , Fabrizio Cleri , Ralf Blossey

On the basis of the closed-time path formalism of non-equilibrium quantum field theory, we derive the real-time quantum dynamics of heavy quark systems. Even though our primary goal is the description of heavy quarkonia, our method allows a…

High Energy Physics - Phenomenology · Physics 2015-06-11 Yukinao Akamatsu

In this paper we focus on energy flows in simple quantum systems. This is achieved by concentrating on the quantum Hamilton-Jacobi equation. We show how this equation appears in the standard quantum formalism in essentially three different…

Quantum Physics · Physics 2014-12-01 B. J. Hiley , D. Robson

We develop a comprehensive model for heavy-quark evolution in a realistic QGP, from their production in the initial collision to hadronic freeze-out. Heavy-quark transport is described by a Langevin approach including medium-induced…

High Energy Physics - Phenomenology · Physics 2025-10-13 Yu Fu , Tharun Krishna , Weiyao Ke , Steffen A. Bass , Ralf Rapp

We study the approach to equilibrium of bottomonium in the quark-gluon plasma within the open quantum system framework. We perform large-scale simulations of the long-time behavior in three dimensions using the quantum trajectory method to…

High Energy Physics - Phenomenology · Physics 2025-08-19 Nora Brambilla , Tom Magorsch , Antonio Vairo

For the efficient simulation of open quantum systems we often use quantum jump trajectories given by pure states that evolve stochastically to unravel the dynamics of the underlying master equation. In the Markovian regime, when the…

Quantum Physics · Physics 2023-10-20 Tobias Becker , Ché Netzer , André Eckardt

Dissociation of quarkonium in quark-gluon plasma (QGP) is a long standing topic in relativistic heavy-ion collisions because it has been believed to signal one of the fundamental natures of the QGP -- Debye screening due to the liberation…

Nuclear Theory · Physics 2021-12-20 Yukinao Akamatsu

We present a novel method to simulate the Lindblad equation, drawing on the relationship between Lindblad dynamics, stochastic differential equations, and Hamiltonian simulations. We derive a sequence of unitary dynamics in an enlarged…

Quantum Physics · Physics 2024-08-27 Zhiyan Ding , Xiantao Li , Lin Lin

The Lindblad approach to open quantum systems is introduced for studying the dynamics of a single trapped ion prepared in nonclassical motional states and subjected to continuous measurement of its internal population. This results in an…

Quantum Physics · Physics 2009-10-30 Roberto Onofrio , Lorenza Viola

We study bottomonium $b\bar b$ production in pp collisions as well as in heavy-ion collisions, using a quantal density matrix approach. The initial bottom (anti)quarks are provided by the PYTHIA event generator. We solve the Schr\"odinger…

Nuclear Theory · Physics 2024-01-19 Taesoo Song , Joerg Aichelin , Jiaxing Zhao , Pol Bernard Gossiaux , Elena Bratkovskaya

We study the temperature dependence of bottomonium for temperatures in the range 0.4 Tc < T < 2.1 Tc, using non-relativistic dynamics for the bottom quark and full relativistic lattice QCD simulations for Nf=2 light flavors. We consider the…

High Energy Physics - Lattice · Physics 2015-06-12 G. Aarts , C. Allton , A. Kelly , J. -I. Skullerud , S. Kim , T. Harris , S. M. Ryan , M. P. Lombardo , M. B. Oktay , D. K. Sinclair

A theory of Brownian motion is presented for an assembly of vortices. The attempt is motivated by a realization of Dyson' Coulomb gas in the context of quantum condensates. By starting with the time-dependent Landau-Ginzburg (LG) theory,…

Statistical Mechanics · Physics 2022-09-07 Hiroshi Kuratsuji

We propose a quantum algorithm for solving physical problems represented by the lattice Boltzmann formulation. Specifically, we deal with the case of a single phase, incompressible fluid obeying the Bhatnagar-Gross-Krook model. We use the…

Quantum Physics · Physics 2023-04-13 Wael Itani , Katepalli R. Sreenivasan , Sauro Succi

The Lindblad quantum master equation is one of the central approaches to the physics of open quantum systems. In particular, boundary driving enables the study of transport, where a steady state emerges in the long-time limit, which…

Statistical Mechanics · Physics 2025-02-20 Markus Kraft , Mariel Kempa , Jiaozi Wang , Robin Steinigeweg

An orbit following code is developed to calculate ion beam trajectories in magnetized plasmas. The equation of motion (the Newton's equation) is solved including the Lorentz force term and Coulomb collisional relaxation term. Furthermore, a…

Plasma Physics · Physics 2015-05-18 Y. Nishimura

A systematic procedure to consistently formulate a field theoretical, QCD bound state problem with a fixed number of constituents is outlined. The approach entails applying the Hamiltonian flow equations, which are a set of continuous…

High Energy Physics - Phenomenology · Physics 2009-10-31 Elena Gubankova , Chueng-Ryong Ji , Stephen R. Cotanch

We study the stochastic dynamics of c and b quarks in the hot plasma produced in nucleus-nucleus collisions at RHIC and LHC, providing results for the nuclear modification factor R_AA and the elliptic flow coefficient v_2 of the…

High Energy Physics - Phenomenology · Physics 2011-04-07 W. M. Alberico , A. Beraudo , A. De Pace , A. Molinari , M. Monteno , M. Nardi , F. Prino

The elements of the quantum mechanical diffusion matrix, leading to a Gibbs equilibrium state for a set of $N$ coupled quantum harmonic oscillators are derived within Lindblad's axiomatic approach. Consequences of the fundamental…

Quantum Physics · Physics 2011-03-28 Yamen Hamdouni
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