Computational

Physics

Physics

Research: Algorithms

Methods to solve the time-dependent Schrödinger equation and their applications are described in the following

- H. De Raedt,

"Computer Simulation of Quantum Phenomena in Nano-Scale Devices",

Annual Reviews of Computational Physics IV,

ed. D. Stauffer,

World Scientific, 107 - 146 (1996)

PDF - H. De Raedt and K. Michielsen,

"Algorithm to Solve the Time-Dependent Schrödinger Equation for a Charged Particle in an Inhomogeneous Magnetic Field: Application to the Aharonov-Bohm Eﬀect",

Comp. in Phys. 8, 600 – 607 (1994) - H. De Raedt,

"Product Formula Algorithms for Solving the Time-Dependent Schrödinger Equation",

Comp. Phys. Rep. 7, 1 – 72 (1987)

- Computer animation of electron motion in nano-structures

Powerpoint

Methods to solve quantum dynamical problems that are different from the solvers of the time-dependent Schrödinger equation are described in the following

- H. De Raedt and K. Michielsen,

"Computational Methods for Simulating Quantum Computers",

Handbook of Theoretical and Computational Nanotechnology, Vol. 3: Quantum and molecular computing, quantum simulations, Chapter 1, pp. 248, M. Rieth and W. Schommers eds.,American Scientific Publisher, Los Angeles (2006)

PDF - V.V. Dobrovitski and H.A. De Raedt,

"Efficient scheme for numerical simulations of the spin-bath decoherence"

Phys. Rev. E 67, 056702 (2003)

PDF

Methods to solve the time-dependent Maxwell equations are described in the following

- H. De Raedt,

"Advances in Unconditionally Stable Techniques", Chapter 18 in*Computational Electrodynamics: The Finite-Difference Time-Domain Method, 3rd edition,*A. Taflove and S.C. Hagness, Artech House, MA USA, 2005) - H.A. De Raedt, J.S. Kole, K.F.L. Michielsen, and M.T. Figge,

"Unified framework for numerical methods to solve the Time-Dependent Maxwell equations",

Comp. Phys. Comm. 156, 43 - 61 (2003)

PDF - H.A. De Raedt, K.F.L. Michielsen, J.S. Kole, and M.T. Figge,

"Solving the Maxwell equations by the Chebyshev method: A one-step finite-difference time-domain algorithm",

IEEE Transactions on Antennas and Propagation 51, 3155 - 3160 (2003),

PDF - J.S. Kole, M.T. Figge, and H. De Raedt,

"Unconditionally Stable Algorithms to Solve the Time-Dependent Maxwell Equations",

Phys. Rev. E 64, 066705 (2001)

PDF

- New numerical methods to solve the time-dependent Maxwell equations

Powerpoint

An alternative method (without minus-sign problem) to Quantum Monte Carlo methods to compute the smallest eigenvalue and corresponding eigenvector of very (very) large matrices is described in the following

- H. De Raedt, W. Fettes, and K. Michielsen,

"Stochastic Diagonalization",

in Quantum Monte Carlo Methods in Physics and Chemistry,

eds. M.P. Nightingale and C.J. Umrigar,

NATO-ASI Series, 37 - 64 (Kluwer, The Netherlands 1999)

PDF - K. Michielsen and H. De Raedt,

"Off-Diagonal Long-Range Order in Generalized Hubbard Models",

Int. J. Mod. Phys. B 11, 1311 - 1335 (1997)

PDF

- Stochastic diagonalization

Powerpoint

A general method to characterize the morphology of two- and three-dimensional patterns in terms of geometrical and topological descriptors is described in the following

- K. Michielsen, H. De Raedt, J.Th.M. De Hosson,

"Aspects of Mathematical Morphology"

Advances in Imaging and Electron Physics 125, 119 - 195 (2002)

PDF - K. Michielsen and H. De Raedt,

"Integral-geometry morphological image analysis",

Phys. Rep. 347, 461 - 538 (2001)

PDF

- Morphological Characterization of Spatial Patterns

Powerpoint

The event-by-event simulation approach and its applications is described in the following

- K. Michielsen, F. Jin, and H. De Raedt,

"Event-based Corpuscular Model for Quantum Optics Experiments",

J. Comp. Theor. Nanosci. 8, 1052 - 1080 (2011)

PDF - K. De Raedt, H. De Raedt, and K. Michielsen,

"A computer program to simulate the Einstein-Podolsky-Rosen-Bohm experiments with photons",

Comp. Phys. Comm. 176, 642 - 651 (2007)

PDF - H. De Raedt, K. De Raedt, K. Michielsen, and S. Miyashita,

"Efficient data processing and quantum phenomena: Single-particle systems"

Comp. Phys. Comm. 174, 803 - 817 (2006)

PDF - K. De Raedt, H. De Raedt, and K. Michielsen,

" Deterministic event-based simulation of quantum phenomena",

Comp. Phys. Comm. 171, 19 - 39 (2005)

PDF - H. De Raedt, K. De Raedt, and K. Michielsen,

"Event-based simulation of single-photon beam splitters and Mach-Zehnder interferometers",

Europhys. Lett. 69, 861 - 867 (2005)

PDF

- New method to simulate quantum interference using deterministic processes

Powerpoint

More information on this simulation method and its applications can be found on the website http://www.compphys.net/dlm