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The Lattice Boltzmann EquationFor Complex States of Flowing Matter$
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Sauro Succi

Print publication date: 2018

Print ISBN-13: 9780199592357

Published to Oxford Scholarship Online: June 2018

DOI: 10.1093/oso/9780199592357.001.0001

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QLB for Quantum Many-Body and Quantum Field Theory

QLB for Quantum Many-Body and Quantum Field Theory

Chapter:
(p.650) 33 QLB for Quantum Many-Body and Quantum Field Theory
Source:
The Lattice Boltzmann Equation
Author(s):

Sauro Succi

Publisher:
Oxford University Press
DOI:10.1093/oso/9780199592357.003.0033

Chapter 32 expounded the basic theory of quantum LB for the case of relativistic and non-relativistic wavefunctions, namely single-particle quantum mechanics. This chapter goes on to cover extensions of the quantum LB formalism to the overly challenging arena of quantum many-body problems and quantum field theory, along with an appraisal of prospective quantum computing implementations. Solving the single particle Schrodinger, or Dirac, equation in three dimensions is a computationally demanding task. This task, however, pales in front of the ordeal of solving the Schrodinger equation for the quantum many-body problem, namely a collection of many quantum particles, typically nuclei and electrons in a given atom or molecule.

Keywords:   quantum many-body, quantum field theory, quantum computing, quantum entanglement, quantum random walks

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