An Efficient and Accurate Quantum Lattice-Gas Model for the Many-Body Schroedinger Wave Equation

Abstract

Presented is quantum lattice-gas model for simulating the time-dependent evolution of a many-body quantum mechanical system of particles governed by the non-relativistic Schrodinger wave equation with an external scalar potential. A variety of computational demonstrations are given where the numerical predictions are compared with exact analytical solutions. In all cases, the model results accurately agree with the analytical predictions and we show that the model's error is second-order in the temporal discretization and fourth-order in the spatial discretization: The difficult problem of simulating a system of fermionic particles is also treated and a general computational formulation if this problem is given. For pedagogical purposes, the two-particle case is presented and the numerical dispersion of the simulated wave packets is compared with the analytical solutions.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2002
Accession Number
ADA445009

Entities

People

  • B. Boghosian
  • J. Yepez

Organizations

  • Air Force Research Laboratory

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force Research Laboratories
  • Boltzmann Equation
  • Computational Fluid Dynamics
  • Computational Science
  • Difference Equations
  • Differential Equations
  • Equations
  • Exclusion Principle
  • Formulas (Mathematics)
  • Partial Differential Equations
  • Quantum Algorithms
  • Quantum Computing
  • Quantum Mechanics
  • Schrodinger Equation
  • Wave Equations
  • Wave Functions
  • Wave Packets

Fields of Study

  • Physics

Readers

  • Computational Modeling and Simulation
  • Fluid Dynamics.
  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.

Technology Areas

  • Quantum Computing