SYMBOL | MEANING | DEFINITION |
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one-dimensional ![]() |
(1.63) |
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three-dimensional ![]() |
(1.44) |
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oscillator length of the transverse confinement |
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oscillator length of the longitudinal confinement |
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number of dimensions | |
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diffusion constant |
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total energy of the system | |
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local energy of a walker ![]() |
(2.14) |
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Bijl-Jastrow component of a local energy | (2.40) |
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drift force | (2.15) |
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Bijl-Jastrow component of the drift force | (2.39) |
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one-body Bijl-Jastrow term | see (2.37) |
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two-body Bijl-Jastrow term | see (2.37) |
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non-diagonal element of the OBDM | (1.18) |
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pair-distribution function | (1.19) |
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value at zero of the three-body correlation function | (1.22) |
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one-dimensional coupling constant | (1.69) |
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three-dimensional coupling constant | (1.86) |
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size of the system or side of the simulation box | |
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particle mass | |
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linear density | ![]() |
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(total) particle density | ![]() |
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number of particles | |
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coordinate of ![]() |
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a point in ![]() |
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range of the potential | (1.47) |
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(variational) matching distance | |
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size of the cloud in ![]() |
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size of the cloud in the transverse direction | |
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exponentiation of the Bijl-Jastrov term | (2.38) |
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external potential | |
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pair-interaction potential | |
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anisotropy parameter (aspect ratio) |
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chemical potential | |
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reduced mass | ![]() |
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imaginary time | ![]() |
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ground state many body wave function | |
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trial many body wave function | |
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frequency of the transverse harmonic confinement | |
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frequency of the longitudinal harmonic confinement |
List of used abbreviations:
BCS | Bardeen Cooper Schriffer |
BEC | Bose-Einstein condensation |
BJ | Bijl-Jastrow |
DMC | Diffusion Monte Carlo |
FN-MC | Fixed Node Monte Carlo |
JS | Jastrow-Slater |
GP | Gross-Pitaevskii |
HR | hard rod |
HS | hard sphere |
LDA | local density approximation |
LL | Lieb-Liniger |
OBDM | one-body density matrix |
TG | Tonks-Girardeau |
SR | short range |
SS | soft sphere |
SW | square well |
QMC | Quantum Monte Carlo |
VMC | Variational Monte Carlo |