arc.alkali_atom_data.Potassium40#
- class Potassium40(preferQuantumDefects=True, cpp_numerov=True)[source]#
Properties of potassium 40 atoms
- __init__(preferQuantumDefects=True, cpp_numerov=True)#
Methods
__init__([preferQuantumDefects, cpp_numerov])breitRabi(n, l, j, B)Returns exact Zeeman energies math:E_z for states
corePotential(l, r)core potential felt by valence electron
effectiveCharge(l, r)effective charge of the core felt by valence electron
getAverageInteratomicSpacing(temperature)Returns average interatomic spacing in atomic vapour
getAverageSpeed(temperature)Average (mean) speed at a given temperature
getBBRshift(n, l, j[, includeLevelsUpTo, ...])Frequency shift of an atomic state induced by black-body radiation using the Farley-Wing function.
getBranchingRatio(jg, fg, mfg, je, fe, mfe)Branching ratio for decay from \(\vert j_e,f_e,m_{f_e} \rangle \rightarrow \vert j_g,f_g,m_{f_g}\rangle\)
getBranchingRatioFStoFS(jg, mjg, je, mje[, s])Branching ratio for decay from \(\vert j_e, m_{j_e} \rangle \rightarrow \vert j_g,m_{j_g} \rangle\)
getBranchingRatioFStoHFS(jg, fg, mfg, je, mje)Branching ratio for decay from \(\vert j_e, m_{j_e} \rangle \rightarrow \vert j_g,f_g,m_{f_g} \rangle\)
getBranchingRatioHFStoFS(jg, mjg, je, fe, mfe)Branching ratio for decay from \(\vert j_e,f_e,m_{f_e} \rangle \rightarrow \vert j_g,m_{j_g} \rangle\)
getC3term(n, l, j, n1, l1, j1, n2, l2, j2[, s])C3 interaction term for the given two pair-states
getC6term(n, l, j, n1, l1, j1, n2, l2, j2[, s])C6 interaction term for the given two pair-states
getDipoleMatrixElement(n1, l1, j1, mj1, n2, ...)Dipole matrix element \(\langle n_1 l_1 j_1 m_{j_1} |e\mathbf{r}|\ n_2 l_2 j_2 m_{j_2}\rangle\) in units of \(a_0 e\)
getDipoleMatrixElementHFS(n1, l1, j1, f1, ...)Dipole matrix element for hyperfine structure resolved transitions \(\langle n_1 l_1 j_1 f_1 m_{f_1} |e\mathbf{r}|\ n_2 l_2 j_2 f_2 m_{f_2}\rangle\) in units of \(a_0 e\)
getDipoleMatrixElementHFStoFS(n1, l1, j1, ...)Dipole matrix element for transition from hyperfine resolved state to unresolved fine-structure state \(\langle n_1 l_1 j_1 f_1 m_{f_1} |e\mathbf{r}|\ n_2 l_2 j_2 m_{j_2}\rangle\) in units of \(a_0 e\)
getDrivingPower(n1, l1, j1, mj1, n2, l2, j2, ...)Returns a laser power for resonantly driven atom in a center of TEM00 mode of a driving field
getEnergy(n, l, j[, s])Energy of the level relative to the ionisation level (in eV)
getEnergyDefect(n, l, j, n1, l1, j1, n2, l2, j2)Energy defect for the given two pair-states (one of the state has two atoms in the same state)
getEnergyDefect2(n, l, j, nn, ll, jj, n1, ...)Energy defect for the given two pair-states
getFarleyWing(n1, l1, j1, n2, l2, j2[, ...])Calculates the Farley Wing function in the context of a BBR shift, uses a closed form for the integral (which has a singularity, need Cauchy principal value)
getHFSCoefficients(n, l, j[, s])Returns hyperfine splitting coefficients for state \(n\), \(l\), \(j\).
getHFSEnergyShift(j, f, A[, B, s])Energy shift of HFS from centre of mass \(\Delta E_\mathrm{hfs}\)
getLandegf(l, j, f[, s])Lande g-factor \(g_F\simeq g_J\frac{f(f+1)-I(I+1)+j(j+1)}{2f(f+1)}\)
getLandegfExact(l, j, f[, s])Lande g-factor \(g_F\) \(g_F=g_J\frac{f(f+1)-I(I+1)+j(j+1)}{2f(f+1)}+g_I\frac{f(f+1)+I(I+1)-j(j+1)}{2f(f+1)}\)
getLandegj(l, j[, s])Lande g-factor \(g_J\simeq 1+\frac{j(j+1)+s(s+1)-l(l+1)}{2j(j+1)}\)
getLandegjExact(l, j[, s])Lande g-factor \(g_J=g_L\frac{j(j+1)-s(s+1)+l(l+1)}{2j(j+1)}+g_S\frac{j(j+1)+s(s+1)-l(l+1)}{2j(j+1)}\)
getLiteratureDME(n1, l1, j1, n2, l2, j2[, s])Returns literature information on requested transition.
getMagneticDipoleMatrixElementHFS(l, j, f1, ...)Magnetic dipole matrix element \(\langle f_1,m_{f_1} \vert \mu_q \vert f_2,m_{f_2}\rangle\) for transitions from \(\vert f_1,m_{f_1}\rangle\rightarrow\vert f_2,m_{f_2}\rangle\) within the same \(n,\ell,j\) state in units of \(\mu_B B_q\).
getNumberDensity(temperature)Atom number density at given temperature
getPressure(temperature)Pressure of atomic vapour at given temperature.
getQuadrupoleMatrixElement(n1, l1, j1, n2, ...)Radial part of the quadrupole matrix element
getQuantumDefect(n, l, j[, s])Quantum defect of the level.
getRabiFrequency(n1, l1, j1, mj1, n2, l2, ...)Returns a Rabi frequency for resonantly driven atom in a center of TEM00 mode of a driving field
getRabiFrequency2(n1, l1, j1, mj1, n2, l2, ...)Returns a Rabi frequency for resonant excitation with a given electric field amplitude
getRadialCoupling(n, l, j, n1, l1, j1[, s])Returns radial part of the coupling between two states (dipole and quadrupole interactions only)
getRadialMatrixElement(n1, l1, j1, n2, l2, j2)Radial part of the dipole matrix element
getReducedMatrixElementJ(n1, l1, j1, n2, l2, j2)Reduced matrix element in \(J\) basis (symmetric notation)
getReducedMatrixElementJ_asymmetric(n1, l1, ...)Reduced matrix element in \(J\) basis, defined in asymmetric notation.
getReducedMatrixElementL(n1, l1, j1, n2, l2, j2)Reduced matrix element in \(L\) basis (symmetric notation)
getSaturationIntensity(ng, lg, jg, fg, mfg, ...)Saturation Intensity \(I_\mathrm{sat}\) for transition \(\vert j_g,f_g,m_{f_g}\rangle\rightarrow\vert j_e,f_e,m_{f_e}\rangle\) in units of \(\mathrm{W}/\mathrm{m}^2\).
getSaturationIntensityIsotropic(ng, lg, jg, ...)Isotropic Saturation Intensity \(I_\mathrm{sat}\) for transition \(f_g\rightarrow f_e\) averaged over all polarisations in units of \(\mathrm{W}/\mathrm{m}^2\).
getSphericalDipoleMatrixElement(j1, mj1, j2, ...)Spherical Component of Angular Matrix Element
getSphericalMatrixElementHFStoFS(j1, f1, ...)Spherical matrix element for transition from hyperfine resolved state to unresolved fine-structure state \(\langle f,m_f \vert\mu_q\vert j',m_j'\rangle\) in units of \(\langle j\vert\vert\mu\vert\vert j'\rangle\)
getStateLifetime(n, l, j[, temperature, ...])Returns the lifetime of the state (in s)
getTransitionFrequency(n1, l1, j1, n2, l2, j2)Calculated transition frequency in Hz
getTransitionRate(n1, l1, j1, n2, l2, j2[, ...])Transition rate due to coupling to vacuum modes (black body included)
getTransitionWavelength(n1, l1, j1, n2, l2, j2)Calculated transition wavelength (in vacuum) in m.
getZeemanEnergyShift(l, j, mj, magneticFieldBz)Retuns linear (paramagnetic) Zeeman shift.
groundStateRamanTransition(Pa, wa, qa, Pb, ...)Returns two-photon Rabi frequency \(\Omega_R\), differential AC Stark shift \(\Delta_\mathrm{AC}\) and probability to scatter a photon during a \(\pi\)-pulse \(P_\mathrm{sc}\) for two-photon ground-state Raman transitions from \(\vert f_g,m_{f_g}\rangle\rightarrow\vert nL_{j_r} j_r,m_{j_r}\rangle\) via an intermediate excited state \(n_e,\ell_e,j_e\).
potential(l, s, j, r)returns total potential that electron feels
radialWavefunction(l, s, j, stateEnergy, ...)Radial part of electron wavefunction
twoPhotonRydbergExcitation(Pp, wp, qp, Pc, ...)Returns two-photon Rabi frequency \(\Omega_R\), ground AC Stark shift \(\Delta_{\mathrm{AC}_g}\), Rydberg state AC Stark shift \(\Delta_{\mathrm{AC}_r}\) and probability to scatter a photon during a \(\pi\)-pulse \(P_\mathrm{sc}\) for two-photon excitation from \(\vert f_h,m_{f_g}\rangle\rightarrow \vert j_r,m_{j_r}\rangle\) via intermediate excited state
updateDipoleMatrixElementsFile()Updates the file with pre-calculated dipole matrix elements.
update_me_cache()Updates cached dipole and quadrupole matrix elements saved in ~/.arc-data
Attributes
Nuclear spin
NISTdataLevelsAtomic number
model potential parameters from [#c1]_
model potential parameters from [#c1]_
model potential parameters from [#c1]_
model potential parameters from [#c1]_
source NIST, Atomic Weights and Isotopic Compositions [#c14]_
alphamodel potential parameters from [#c1]_
ion core dipole polarisability
//doi.org/10.1103/PhysRevA.100.012501
cpp_numerovswich - should the wavefunction be calculated with Numerov algorithm implemented in C++
dataFolderlocation of hard-disk stored dipole matrix elements
Human-readable element name
levels that are for smaller n than ground level, but are above in energy due to angular part
gINuclear g-factor
Electron Orbital g-factor
gSprincipal quantum number for the ground state
source of HFS magnetic dipole and quadrupole constants
(eV), weighted average of values in Ref.
location of stored NIST values of measured energy levels in eV
Filename of the additional literature source values of dipole matrix elements.
source NIST, Atomic Weights and Isotopic Compositions [#c14]_
in K
minQuantumDefectNminimal quantum number for which quantum defects can be used; uses measured energy levels otherwise
precalculatedDBpreferQuantumDefectslocation of hard-disk stored dipole matrix elements
//doi.org/10.1103/PhysRevA.100.012501
model potential parameters from [#c1]_
sEnergystate energies from NIST values sEnergy [n,l] = state energy for n, l, j = l-1/2 sEnergy [l,n] = state energy for j = l+1/2
in eV