1
Scientific Background Understanding and numerically simulating quantum dynamics remains one of the great outstanding scientific challenges. This workshop aims to gather a group of mathematicians, physicists, and chemists to exchange ideas and foster collaborations on various topics related to quantum dynamics. Potential topics include adiabatic theory, toplogical insulators, semiclassical analysis. Numerical methods to be discussed include surface hopping, path-integral, quantum Monte Carlo, and tensor network methods. Goals Bringing together chemists and physicists with focus on topics in chemical and quantum dynamics with potential intercation for applied math, in particular, issues that can benefits from further impact using kinetic theories. The goal is to have a forward-looking workshop that establishes long term interactions between communities. Center for Scientific Computation And Mathematical Modeling University of Maryland Confirmed Participants Weizhu Bao Thomas Barthel Victor Batista Roberto Car Eric A. Carlen Thomas Chen Giovanni Ciccotti Gero Friesecke François Golse Christopher Jarzynski Raymond Kapral Mohammed Lemou Yvon Maday Tom Markland Tom Miller Israel Michael Sigal Christof Sparber Joseph Subotnik Lexing Ying National University of Singapore Duke University Yale University Princeton University Rutgers University University of Texas at Austin Sapienza University of Rome Technical University of Munich École Polytechnique University of Maryland University of Toronto University of Rennes 1 University of Paris VI Stanford University California Institute of Technology University of Toronto University of Illinois at Chicago University of Pennsylvania University of Wisconsin-Madison Conference Announcement Mathematical and Numerical Aspects of Quantum Dynamics June 19–21, 2018 Organizers Jianfeng Lu Eitan Tadmor Duke University University of Maryland KI-NET HUBS A limited number of openings are available. To apply, complete the online application before March 31, 2018. For more information and to apply: www.ki-net.umd.edu Center for Scientific Computation And Mathematical Modeling (CSCAMM) CSIC Building #406, 8169 Paint Branch Drive, University of Maryland, College Park CSCAMM is a part of the College of Computer, Mathematical and Natural Sciences Numerical simulation for the quantum-classical Liouville equation by Zhenning Cai and Jianfeng Lu. 1.15 1.20 1.25 1.30 1.35 1.40 1.45 1.0 1.5 2.0 2.5 0.5 1.5 2.5 3.5 4.5 1.2 1.3 1.4 1.5 1.5 2.0 2.5 3.0 0.25 0.75 1.25 1.75 2.25 0.5 1.0 1.5 2.0 0.5 1.0 1.5 2.0 0.02 0.06 0.10 0.14 0.18 0.5 1.0 1.5 2.0 2.5 0.5 1.0 1.5 2.0 2.5 0 0.25 0.50 0.75 1.00 1.25

Mathematical and Numerical Aspects of Quantum …to quantum dynamics. Potential topics include adiabatic theory, toplogical insulators, semiclassical analysis. Numerical methods to

  • Upload
    others

  • View
    3

  • Download
    0

Embed Size (px)

Citation preview

Page 1: Mathematical and Numerical Aspects of Quantum …to quantum dynamics. Potential topics include adiabatic theory, toplogical insulators, semiclassical analysis. Numerical methods to

Scientific BackgroundUnderstanding and numerically simulating quantum dynamics remains one of the great outstanding scientific challenges. This workshop aims to gather a group of mathematicians, physicists, and chemists to exchange ideas and foster collaborations on various topics related to quantum dynamics. Potential topics include adiabatic theory, toplogical insulators, semiclassical analysis. Numerical methods to be discussed include surface hopping, path-integral, quantum Monte Carlo, and tensor network methods.

GoalsBringing together chemists and physicists with focus on topics in chemical and quantum dynamics with potential intercation for applied math, in particular, issues that can benefits from further impact using kinetic theories. The goal is to have a forward-looking workshop that establishes long term interactions between communities.

Center for Scientific Computation And Mathematical ModelingUniversity of Maryland

Confirmed ParticipantsWeizhu BaoThomas Barthel Victor BatistaRoberto Car Eric A. Carlen Thomas ChenGiovanni Ciccotti Gero FrieseckeFrançois GolseChristopher JarzynskiRaymond KapralMohammed LemouYvon Maday Tom MarklandTom MillerIsrael Michael Sigal Christof Sparber Joseph Subotnik Lexing Ying

National University of SingaporeDuke UniversityYale UniversityPrinceton UniversityRutgers UniversityUniversity of Texas at AustinSapienza University of RomeTechnical University of MunichÉcole PolytechniqueUniversity of MarylandUniversity of TorontoUniversity of Rennes 1University of Paris VIStanford UniversityCalifornia Institute of TechnologyUniversity of TorontoUniversity of Illinois at ChicagoUniversity of PennsylvaniaUniversity of Wisconsin-Madison

Conference Announcement

Mathematical and Numerical Aspects of Quantum DynamicsJune 19–21, 2018

OrganizersJianfeng LuEitan Tadmor

Duke UniversityUniversity of Maryland

KI-Net HubsA limited number of openings are available.To apply, complete the online application before March 31, 2018.

For more information and to apply:

www.ki-net.umd.edu

Center for Scientific Computation And Mathematical Modeling (CSCAMM) CSIC Building #406, 8169 Paint Branch Drive, University of Maryland, College ParkCSCAMM is a part of the College of Computer, Mathematical and Natural Sciences

Numerical simulation for the quantum-classical Liouville equationby Zhenning Cai and Jianfeng Lu.

1.15 1.20 1.25 1.30 1.35 1.40 1.45

1.0

1.5

2.0

2.5

0.5

1.5

2.5

3.5

4.5

1.2 1.3 1.4 1.5

1.5

2.0

2.5

3.0

0.25

0.75

1.25

1.75

2.25

0.5 1.0 1.5 2.0

0.5

1.0

1.5

2.0

0.02

0.06

0.10

0.14

0.18

0.5 1.0 1.5 2.0 2.5

0.5

1.0

1.5

2.0

2.5

0

0.25

0.50

0.75

1.00

1.25