publication . Other literature type . Preprint . Article . 2015

A Simple Quantum Integro-Differential Solver (SQuIDS)

Argüelles Delgado, Carlos A.; Salvado, Jordi; Weaver, Christopher N.;
  • Published: 01 Nov 2015
  • Publisher: Elsevier BV
Abstract
Comment: 36 pages, 4 figures. Code available at https://github.com/jsalvado/SQuIDS
Subjects
free text keywords: High Energy Physics - Phenomenology, Physics - Computational Physics, Quantum Physics, Physics and Astronomy(all), Hardware and Architecture, General Physics and Astronomy, Differential equation, Density matrix, Hilbert space, symbols.namesake, symbols, Mathematics, Scalar (physics), Mathematical analysis, Matrix (mathematics), Algebra, Solver, Ordinary differential equation, Operator (computer programming)
Funded by
NSF| Analysis of IceCube Data at UW-Madison 2010-2013
Project
  • Funder: National Science Foundation (NSF)
  • Project Code: 0969061
  • Funding stream: Directorate for Mathematical & Physical Sciences | Division of Physics
,
NSF| IceCube Startup and Construction Project
Project
  • Funder: National Science Foundation (NSF)
  • Project Code: 0236449
  • Funding stream: Directorate for Geosciences | Division of Polar Programs
17 references, page 1 of 2

6 Included examples 25 6.1 Vacuum neutrino oscillations . . . . . . . . . . . . . . . . . . . . . . . . . . . 25 6.1.1 Derived Class (vacuum) . . . . . . . . . . . . . . . . . . . . . . . . . . 25 6.1.2 Main file . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26 6.2 Rabi oscillations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27 6.2.1 Derived class (rabi) . . . . . . . . . . . . . . . . . . . . . . . . . . . 28 6.2.2 Main file . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30 6.3 Collective Neutrino Oscillation . . . . . . . . . . . . . . . . . . . . . . . . . . 32 6.3.1 Derived object (collective) . . . . . . . . . . . . . . . . . . . . . . 32 6.3.2 Main file . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34

[1] M.C. Gonzalez-Garcia, F. Halzen, and M. Maltoni. Physics reach of high-energy and high-statistics icecube atmospheric neutrino data. Phys.Rev., D71:093010, 2005. [OpenAIRE]

[2] L. Wolfenstein. Neutrino Oscillations in Matter. Phys.Rev., D17:2369-2374, 1978.

[3] G. Sigl and G. Raffelt. General kinetic description of relativistic mixed neutrinos. Nucl.Phys., B406:423- 451, 1993. [OpenAIRE]

[4] Robert Gilmore. Lie Groups, Physics, and Geometry. Cambridge University Press, 2008.

[5] GNU Scientific Library (http://www.gnu.org/software/gsl/).

[6] Carlos A. Argu¨elles and Joachim Kopp. Sterile neutrinos and indirect dark matter searches in IceCube. JCAP, 1207:016, 2012.

[7] J. Wensch, M. D¨ane, W. Hergert, and A. Ernst. The solution of stationary ode problems in quantum mechanics by magnus methods with stepsize control. Computer Physics Communications, 160(2):129 - 139, 2004.

[8] Frederick Ira Moxley III, Tim Byrnes, Fumitaka Fujiwara, and Weizhong Dai. A generalized finitedifference time-domain quantum method for the -body interacting hamiltonian. Computer Physics Communications, 183(11):2434 - 2440, 2012. [OpenAIRE]

[9] Tomasz Dziubak and Jacek Matulewski. An object-oriented implementation of a solver of the timedependent schr¨odinger equation using the cuda technology. Computer Physics Communications, 183(3):800 - 812, 2012.

[10] Miguel A.L. Marques, Alberto Castro, George F. Bertsch, and Angel Rubio. octopus: a first-principles tool for excited electron-ion dynamics. Computer Physics Communications, 151(1):60 - 78, 2003.

[11] H. Weimer. libquantum (http://www.libquantum.de/).

[12] Super-Kamiokande Collaboration. Prob3++ (http://www.phy.duke.edu/raw22/public/prob3++/).

[13] Marius Wallraff and Christopher Wiebusch. Calculation of oscillation probabilities of atmospheric neutrinos using nucraft. 09 2014.

[14] Patrick Huber, Joachim Kopp, Manfred Lindner, Mark Rolinec, and Walter Winter. New features in the simulation of neutrino oscillation experiments with GLoBES 3.0: General Long Baseline Experiment Simulator. Comput.Phys.Commun., 177:432-438, 2007.

17 references, page 1 of 2
Related research
Abstract
Comment: 36 pages, 4 figures. Code available at https://github.com/jsalvado/SQuIDS
Subjects
free text keywords: High Energy Physics - Phenomenology, Physics - Computational Physics, Quantum Physics, Physics and Astronomy(all), Hardware and Architecture, General Physics and Astronomy, Differential equation, Density matrix, Hilbert space, symbols.namesake, symbols, Mathematics, Scalar (physics), Mathematical analysis, Matrix (mathematics), Algebra, Solver, Ordinary differential equation, Operator (computer programming)
Funded by
NSF| Analysis of IceCube Data at UW-Madison 2010-2013
Project
  • Funder: National Science Foundation (NSF)
  • Project Code: 0969061
  • Funding stream: Directorate for Mathematical & Physical Sciences | Division of Physics
,
NSF| IceCube Startup and Construction Project
Project
  • Funder: National Science Foundation (NSF)
  • Project Code: 0236449
  • Funding stream: Directorate for Geosciences | Division of Polar Programs
17 references, page 1 of 2

6 Included examples 25 6.1 Vacuum neutrino oscillations . . . . . . . . . . . . . . . . . . . . . . . . . . . 25 6.1.1 Derived Class (vacuum) . . . . . . . . . . . . . . . . . . . . . . . . . . 25 6.1.2 Main file . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26 6.2 Rabi oscillations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27 6.2.1 Derived class (rabi) . . . . . . . . . . . . . . . . . . . . . . . . . . . 28 6.2.2 Main file . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30 6.3 Collective Neutrino Oscillation . . . . . . . . . . . . . . . . . . . . . . . . . . 32 6.3.1 Derived object (collective) . . . . . . . . . . . . . . . . . . . . . . 32 6.3.2 Main file . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34

[1] M.C. Gonzalez-Garcia, F. Halzen, and M. Maltoni. Physics reach of high-energy and high-statistics icecube atmospheric neutrino data. Phys.Rev., D71:093010, 2005. [OpenAIRE]

[2] L. Wolfenstein. Neutrino Oscillations in Matter. Phys.Rev., D17:2369-2374, 1978.

[3] G. Sigl and G. Raffelt. General kinetic description of relativistic mixed neutrinos. Nucl.Phys., B406:423- 451, 1993. [OpenAIRE]

[4] Robert Gilmore. Lie Groups, Physics, and Geometry. Cambridge University Press, 2008.

[5] GNU Scientific Library (http://www.gnu.org/software/gsl/).

[6] Carlos A. Argu¨elles and Joachim Kopp. Sterile neutrinos and indirect dark matter searches in IceCube. JCAP, 1207:016, 2012.

[7] J. Wensch, M. D¨ane, W. Hergert, and A. Ernst. The solution of stationary ode problems in quantum mechanics by magnus methods with stepsize control. Computer Physics Communications, 160(2):129 - 139, 2004.

[8] Frederick Ira Moxley III, Tim Byrnes, Fumitaka Fujiwara, and Weizhong Dai. A generalized finitedifference time-domain quantum method for the -body interacting hamiltonian. Computer Physics Communications, 183(11):2434 - 2440, 2012. [OpenAIRE]

[9] Tomasz Dziubak and Jacek Matulewski. An object-oriented implementation of a solver of the timedependent schr¨odinger equation using the cuda technology. Computer Physics Communications, 183(3):800 - 812, 2012.

[10] Miguel A.L. Marques, Alberto Castro, George F. Bertsch, and Angel Rubio. octopus: a first-principles tool for excited electron-ion dynamics. Computer Physics Communications, 151(1):60 - 78, 2003.

[11] H. Weimer. libquantum (http://www.libquantum.de/).

[12] Super-Kamiokande Collaboration. Prob3++ (http://www.phy.duke.edu/raw22/public/prob3++/).

[13] Marius Wallraff and Christopher Wiebusch. Calculation of oscillation probabilities of atmospheric neutrinos using nucraft. 09 2014.

[14] Patrick Huber, Joachim Kopp, Manfred Lindner, Mark Rolinec, and Walter Winter. New features in the simulation of neutrino oscillation experiments with GLoBES 3.0: General Long Baseline Experiment Simulator. Comput.Phys.Commun., 177:432-438, 2007.

17 references, page 1 of 2
Related research
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