Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:1212.1436 · Physica A Statistical Mechanics and its Applications

Quantum diffusion: A simple, exactly solvable model

Wim Magnus, K. Nelissen

Published Sep 28, 2014• 1 citation
arXivHTMLPDF
DOI
10.1016/j.physa.2014.09.041

Related papers

Exactly Solvable Model of Quantum Diffusion

M. Esposito, P. Gaspard

arXiv:cond-mat/0505217•Journal of Statistical Physics•Nov 1, 2005•34 citations

Quantum diffusion and entropy production: An exactly solvable model

Wim Magnus, K. Nelissen

Bulletin of the American Physical Society•Mar 3, 2014•0 citations

Quantum Diffusion

Sushanta Dattagupta, Sanjay Puri

Springer series in materials science•Jan 1, 2004•0 citations

Quantum diffusions

R. L. Hudson, Kalyanapuram Rangachari Parthasarathy

Springer eBooks•Jan 31, 2006•4 citations

Exactly solvable deterministic lattice model of crossover between ballistic and diffusive transport

Katja Klobas, Marko Medenjak, Tomaž Prosen

We discuss a simple deterministic lattice gas of locally interacting charged particles, for which we show coexistence of ballistic and diffusive transport. Both, the ballistic and the diffusive transport coefficients, specifically the Drude weight and the diffusion constant, respectively, are analytically computed for particular set of generalised Gibbs states and may independently vanish for appropriate values of thermodynamic parameters. Moreover, our analysis, based on explicit construction of the matrix representation of time-automorphism in a suitable basis of the algebra of local observables, allows for an exact computation of the dynamic structure factor and closed form solution of the inhomogeneous quench problem.

•Jan 10, 2019•19 citations

Exactly solvable deterministic lattice model of crossover between ballistic and diffusive transport

Katja Klobas, Marko Medenjak, Tomaž Prosen

We discuss a simple deterministic lattice gas of locally interacting charged particles, for which we show coexistence of ballistic and diffusive transport. Both, the ballistic and the diffusive transport coefficients, specifically the Drude weight and the diffusion constant, respectively, are analytically computed for a particular set of generalized Gibbs states and may independently vanish for appropriate values of thermodynamic parameters. Moreover, our analysis, based on explicit construction of the matrix representation of time-automorphism in a suitable basis of the algebra of local observables, allows for an exact computation of the dynamic structure factor and closed form solution of the inhomogeneous quench problem.

arXiv:1808.07385•Journal of Statistical Mechanics Theory and Experiment•Dec 3, 2018•42 citations
We discuss a simple deterministic lattice gas of locally interacting charged particles, for which we show coexistence of ballistic and diffusive transport. Both, the ballistic and the diffusive transport coefficients, specifically the Drude weight and the diffusion constant, respectively, are analytically computed for particular set of generalised Gibbs states and may independently vanish for appropriate values of thermodynamic parameters. Moreover, our analysis, based on explicit construction of the matrix representation of time-automorphism in a suitable basis of the algebra of local observables, allows for an exact computation of the dynamic structure factor and closed form solution of the inhomogeneous quench problem.
We discuss a simple deterministic lattice gas of locally interacting charged particles, for which we show coexistence of ballistic and diffusive transport. Both, the ballistic and the diffusive transport coefficients, specifically the Drude weight and the diffusion constant, respectively, are analytically computed for a particular set of generalized Gibbs states and may independently vanish for appropriate values of thermodynamic parameters. Moreover, our analysis, based on explicit construction of the matrix representation of time-automorphism in a suitable basis of the algebra of local observables, allows for an exact computation of the dynamic structure factor and closed form solution of the inhomogeneous quench problem.