The numerical simulation of quantum many-body systems is an essential instrument in the research on condensed matter Physics. Recent years have witnessed remarkable progress in studying dynamical properties of non-relativistic Bose systems with quantum Monte Carlo (QMC) methods. On the other hand, the numerical study of Fermi systems is a still open problem of great relevance, as fermions constitute a substantial part of ordinary matter and methods for the accurate calculation of their ground-state and dynamical properties would be useful instruments for the interpretation of experimental data. In this thesis, a number of approximate schemes for studying ground-state and dynamical properties of quantum many-body systems are presented and employed to calculate ground-state and dynamical properties of Bose and Fermi systems. In particular, the Path Integral Ground State QMC method is used to investigate density fluctuations in one-dimensional systems of Helium atoms and hard rods, and the phaseless Auxiliary field QMC is used to investigate the electronic band and effective mass of the two-dimensional homogeneous electron gas.

DYNAMICAL PROPERTIES OF MANY--BODY SYSTEMS FROM CONFIGURATIONAL AND DETERMINANTAL QUANTUM MONTE CARLO METHODS / M. Motta ; supervisore: D. E. Galli ; co-supervisore: L. G. A. Molinari. - : . DIPARTIMENTO DI FISICA, 2015 Nov 27. ((28. ciclo, Anno Accademico 2015. [10.13130/motta-mario_phd2015-11-27].

DYNAMICAL PROPERTIES OF MANY--BODY SYSTEMS FROM CONFIGURATIONAL AND DETERMINANTAL QUANTUM MONTE CARLO METHODS.

M. Motta
2015-11-27

Abstract

The numerical simulation of quantum many-body systems is an essential instrument in the research on condensed matter Physics. Recent years have witnessed remarkable progress in studying dynamical properties of non-relativistic Bose systems with quantum Monte Carlo (QMC) methods. On the other hand, the numerical study of Fermi systems is a still open problem of great relevance, as fermions constitute a substantial part of ordinary matter and methods for the accurate calculation of their ground-state and dynamical properties would be useful instruments for the interpretation of experimental data. In this thesis, a number of approximate schemes for studying ground-state and dynamical properties of quantum many-body systems are presented and employed to calculate ground-state and dynamical properties of Bose and Fermi systems. In particular, the Path Integral Ground State QMC method is used to investigate density fluctuations in one-dimensional systems of Helium atoms and hard rods, and the phaseless Auxiliary field QMC is used to investigate the electronic band and effective mass of the two-dimensional homogeneous electron gas.
GALLI, DAVIDE EMILIO
MOLINARI, LUCA GUIDO
GALLI, DAVIDE EMILIO
Settore FIS/03 - Fisica della Materia
DYNAMICAL PROPERTIES OF MANY--BODY SYSTEMS FROM CONFIGURATIONAL AND DETERMINANTAL QUANTUM MONTE CARLO METHODS / M. Motta ; supervisore: D. E. Galli ; co-supervisore: L. G. A. Molinari. - : . DIPARTIMENTO DI FISICA, 2015 Nov 27. ((28. ciclo, Anno Accademico 2015. [10.13130/motta-mario_phd2015-11-27].
Doctoral Thesis
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Descrizione: tesi di dottorato; titlolo: "dynamical properties of many-body systems from configurational and determinantal quantum monte carlo"
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2434/345455
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