scholarly journals Quantum Monte Carlo calculations of the one-body density matrix and excitation energies of silicon

1998 ◽  
Vol 57 (24) ◽  
pp. 15293-15302 ◽  
Author(s):  
P. R. C. Kent ◽  
Randolph Q. Hood ◽  
M. D. Towler ◽  
R. J. Needs ◽  
G. Rajagopal
Keyword(s):  
Monte Carlo ◽  
Density Matrix ◽  
Quantum Monte Carlo ◽  
Body Density ◽  
Excitation Energies ◽  
Monte Carlo Calculations ◽  
The One

QUANTUM MONTE CARLO STUDY OF THE GROUND-STATE PROPERTIES OF A FERMI GAS IN THE BCS-BEC CROSSOVER

2006 ◽  
Vol 20 (30n31) ◽  
pp. 5189-5198
Author(s):  
S. GIORGINI ◽  
G. E. ASTRAKHARCHIK ◽  
J. BORONAT ◽  
J. CASULLERAS
Keyword(s):  
Monte Carlo ◽  
Density Matrix ◽  
Ground State ◽  
Interaction Strength ◽  
Fermi Gas ◽  
Unitary Limit ◽  
Body Density ◽  
Ground State Properties ◽  
Wide Range ◽  
The One

The ground-state properties of a two-component Fermi gas with attractive short-range interactions are calculated using the fixed-node diffusion Monte Carlo method. The interaction strength is varied over a wide range by tuning the value a of the s-wave scattering length of the two-body potential. We calculate the energy per particle, the one- and two-body density matrix as a function of the interaction strength. Results for the momentum distribution of the atoms, as obtained from the Fourier transform of the one-body density matrix, are reported as a function of the interaction strength. Off-diagonal long-range order in the system is investigated through the asymptotic behavior of the two-body density matrix. The condensate fraction of pairs is calculated in the unitary limit and on both sides of the BCS-BEC crossover.

Quantum Monte Carlo calculations ofA=9,10nuclei

2002 ◽  
Vol 66 (4) ◽  
Author(s):  
Steven C. Pieper ◽  
K. Varga ◽  
R. B. Wiringa
Keyword(s):  
Monte Carlo ◽  
Quantum Monte Carlo ◽  
Monte Carlo Calculations

scholarly journals Two-term expansion of the ground state one-body density matrix of a mean-field Bose gas

2021 ◽  
Vol 60 (3) ◽  
Author(s):  
Phan Thành Nam ◽  
Marcin Napiórkowski
Keyword(s):  
Density Matrix ◽  
Ground State ◽  
Mean Field ◽  
Interaction Strength ◽  
Bose Gas ◽  
Body Density ◽  
The Mean ◽  
The One ◽  
Mean Field Regime ◽  
Number Of Particles

AbstractWe consider the homogeneous Bose gas on a unit torus in the mean-field regime when the interaction strength is proportional to the inverse of the particle number. In the limit when the number of particles becomes large, we derive a two-term expansion of the one-body density matrix of the ground state. The proof is based on a cubic correction to Bogoliubov’s approximation of the ground state energy and the ground state.

scholarly journals Quantum Monte Carlo calculations of neutron matter

2003 ◽  
Vol 68 (2) ◽  
Author(s):  
J. Carlson ◽  
J. Morales ◽  
V. R. Pandharipande ◽  
D. G. Ravenhall
Keyword(s):  
Monte Carlo ◽  
Quantum Monte Carlo ◽  
Neutron Matter ◽  
Monte Carlo Calculations
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