# 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 $$\vert F,m_f\rangle$$ in the $$\ell,j$$ manifold via exact diagonalisation of the Zeeman interaction $$\mathcal{H}_z$$ and the hyperfine interaction $$\mathcal{H}_\mathrm{hfs}$$ given by equations 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 getBranchingRatio(jg, fg, mfg, je, fe, mfe) Branching ratio for decay from $$\vert j_e,f_e,m_{f_e} \rangle \rightarrow \vert j_g,f_g,m_{f_g}\rangle$$ 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 $$a_0 e$$ 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 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, ...) 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.

Attributes

 I Nuclear spin NISTdataLevels Z Atomic number a1 model potential parameters from [#c1]_ a2 model potential parameters from [#c1]_ a3 model potential parameters from [#c1]_ a4 model potential parameters from [#c1]_ abundance source NIST, Atomic Weights and Isotopic Compositions [#c14]_ alpha alphaC model potential parameters from [#c1]_ cpp_numerov swich - should the wavefunction be calculated with Numerov algorithm implemented in C++ dataFolder dipoleMatrixElementFile location of hard-disk stored dipole matrix elements elementName Human-readable element name extraLevels levels that are for smaller n than ground level, but are above in energy due to angular part gI Nuclear g-factor gL Electron Orbital g-factor gS groundStateN principal quantum number for the ground state hyperfineStructureData source of HFS magnetic dipole and quadrupole constants ionisationEnergy (eV), weighted average of values in Ref. levelDataFromNIST location of stored NIST values of measured energy levels in eV literatureDMEfilename Filename of the additional literature source values of dipole matrix elements. mass source NIST, Atomic Weights and Isotopic Compositions [#c14]_ meltingPoint in K minQuantumDefectN minimal quantum number for which quantum defects can be used; uses measured energy levels otherwise precalculatedDB preferQuantumDefects quadrupoleMatrixElementFile location of hard-disk stored dipole matrix elements quantumDefect quantum defects from Ref. rc model potential parameters from [#c1]_ sEnergy state 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 scaledRydbergConstant in eV