simbi package

Subpackages

Submodules

simbi.bimodal module

Created on Sun Feb 20 12:34:17 2022

@author: hofer

simbi.bimodal.bimodal_atom_numbers(trap_freqs, m, T, a, mu, verbose=False)[source]

Returns the total atom number, thermal atom number, BEC atom number, and condensed fraction.

Parameters:

  • trap_freqs (ndarray) – The trap frequencies in Hz.

  • m (float) – The mass of the atoms in kg.

  • T (float) – The temperature of the thermal cloud in Kelvin.

  • a (float) – The s-wave scattering length in m.

  • mu (float) – The chemical potential of the BEC in Joules.

  • verbose (bool) – If True, prints the total atom number, condensed fraction, thermal atom number, and BEC atom number.

Returns:

The total atom number. thermal_number: The thermal atom number. bec_number: The BEC atom number. condensed_fraction: The condensed fraction.

Return type:

total_number

simbi.bimodal.bimodal_density(coords, trap_freqs, m, T, a, mu, t=0)[source]

Returns the total density, thermal density, and BEC density.

Parameters:

  • coords (list[numpy.ndarray]) – The coordinates in m. Should be a list of coordinates, where each element is a numpy array corresponding to a dimension (i.e. coords[0] is the x coordinates, coords[1] is the y coordinates. The number of elements in the list determines whether a 1D, 2D, or 3D density is calculated.

  • trap_freqs (ndarray) – The trap frequencies in Hz.

  • m (float) – The mass of the atoms in kg.

  • T (float) – The temperature of the thermal cloud in Kelvin.

  • a (float) – The s-wave scattering length in m.

  • mu (float) – The chemical potential of the BEC in Joules.

  • t (float) – The time since the trap was turned off in s.

Returns:

The total density. thermal_density: The thermal density. bec_density: The BEC density.

Return type:

total_density

simbi.bimodal.bimodal_radii(trap_freqs, m, T, a, mu, t=0)[source]

Returns the radii of the thermal and BEC clouds.

Parameters:

  • trap_freqs (ndarray) – The trap frequencies in Hz.

  • m (float) – The mass of the atoms in kg.

  • T (float) – The temperature of the thermal cloud in Kelvin.

  • a (float) – The s-wave scattering length in m.

  • mu (float) – The chemical potential of the BEC in Joules.

  • t (float) – The time since the trap was turned off in seconds.

Returns:

The initial radii of the thermal cloud in m. t_sigmas: The radii of the thermal cloud at time t in m. init_tf_radii: The initial radii of the BEC in m. expans_scalars: The expansion scalars of the BEC. t_tf_radii: The radii of the BEC at time t in m.

Return type:

init_sigmas

simbi.bimodal.mu_temperature(trap_freqs, m, a, ntot, cf)[source]

Given trap parameters, BEC parameters, and total atom number and condensed fraction, return the chemical potential and temperature of the thermal cloud.

Parameters:

  • trap_freqs (list[float, float, float]) – The trap frequencies in Hz.

  • m (float) – The mass of the atoms in kg.

  • a (float) – The s-wave scattering length in m.

  • ntot (float) – The total atom number.

  • cf (float) – The condensed fraction.

Returns:

The chemical potential of the thermal cloud. temperature: The temperature of the thermal cloud.

Return type:

mu

simbi.coordinate_handler module

Created on Tue Mar 15 15:27:11 2022

@author: hofer

simbi.coordinate_handler.get_1Dcoordinates(max_coords, scalar=1, clength=200)[source]

Calculates 1D coordinates for each dimension.

Parameters:

  • max_coords (list) – List of maximum coordinates for each dimension.

  • scalar (int) – Scalar for maximum coordinates.

  • clength (int) – Coordinate length.

Returns:

List of 1D coordinates for each dimension. clength: Coordinate length.

Return type:

coords_1d

simbi.coordinate_handler.get_coordinates(max_coords, scalar=1, clength=200, multi=False)[source]

Gets coordinates for each dimension.

Parameters:

  • max_coords (list[float]) – List of maximum coordinates for each dimension.

  • scalar (int) – Scalar for maximum coordinates.

  • clength (int) – Coordinate length.

  • multi (bool) –

Returns:

List of 1D coordinates for each dimension. coord_maps: List of coordinate maps for each dimension. differential_elements: List of differential elements for each dimension. clength: Coordinate length.

Return type:

coords_1d

simbi.coordinate_handler.get_differential_elements(coord_list)[source]

Calculates differential elements for numeric integration

Parameters:

coord_list (list[numpy.ndarray]) – List of coordinates for each dimension.

Returns:

List of differential elements for each dimension.

Return type:

dx_nd

simbi.coordinate_handler.integrate_array(iarray, differential_element)[source]

simbi.number_converserions module

simbi.number_converserions.get_cf(nth, nbec)[source]
simbi.number_converserions.nbec_from_cf(cf, nth)[source]
simbi.number_converserions.nth_from_cf(cf, nbec)[source]

simbi.utils module

simbi.utils.coordinate_transformation2D(XY_tuple, x0=0, y0=0, theta=0)[source]

Transforms coordinates by x0, y0, and theta.

Parameters:

  • XY_tuple (list[float, float]) – Tuple of X and Y coordinates.

  • x0 (float) – x0 coordinate.

  • y0 (float) – y0 coordinate.

  • theta (float) – Angle in radians.

Returns:

Tuple of transformed X and Y coordinates.

Return type:

tuple[float, float]

simbi.utils.rotate_coordinates2D(coordinates, theta)[source]

Rotates coordinates by theta radians.

Parameters:

  • coordinates (list[numpy.ndarray]) – Tuple of X and Y coordinates.

  • theta (float) – Angle in radians.

Returns:

Tuple of rotated X and Y coordinates.

Return type:

tuple[numpy.ndarray, numpy.ndarray]

simbi.utils.translate_coordinates2D(XY_tuple, x0, y0)[source]

Translates coordinates by x0 and y0.

Parameters:

  • XY_tuple (list[float, float]) – Tuple of X and Y coordinates.

  • x0 (float) – x0 coordinate.

  • y0 (float) – y0 coordinate.

Returns:

Tuple of translated X and Y coordinates.

Return type:

tuple[float, float]

Module contents

Created on Mon Mar 14 19:26:59 2022

@author: hofer