We present an elementary and self-contained account of the analogies existing between classical diffusion and the imaginary-time evolution of quantum systems. These analogies are used to develop a new quantum simulation method which allows the calculation of the groundstate expectation values of local observables without any mixed estimates nor population-control bias, as well as static and dynamic (in imaginary time) response functions. This method, which we name Reptation Quantum Monte Carlo, is demonstrated with a few case applications to He-4, including the calculation of total and potential energies, static and imaginary-time dependent density response functions, and low-lying excitation energies. Finally we discuss the relationship of our technique to other simulation schemes.

Reptation Quantum Monte Carlo - a round-trip tour from classical diffusion to quantum mechanics / Baroni, S.; Moroni, S.. - 525:(1999), pp. 313-341.

Reptation Quantum Monte Carlo - a round-trip tour from classical diffusion to quantum mechanics

Baroni, S.;Moroni, S.
1999-01-01

Abstract

We present an elementary and self-contained account of the analogies existing between classical diffusion and the imaginary-time evolution of quantum systems. These analogies are used to develop a new quantum simulation method which allows the calculation of the groundstate expectation values of local observables without any mixed estimates nor population-control bias, as well as static and dynamic (in imaginary time) response functions. This method, which we name Reptation Quantum Monte Carlo, is demonstrated with a few case applications to He-4, including the calculation of total and potential energies, static and imaginary-time dependent density response functions, and low-lying excitation energies. Finally we discuss the relationship of our technique to other simulation schemes.
1999
525
Quantum Monte Carlo Methods in Physics and Chemistry
313
341
https://www.springer.com/la/book/9780792355519#aboutBook
Baroni, S.; Moroni, S.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/13895
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