arc.divalent_atom_data.Ytterbium174

class Ytterbium174(preferQuantumDefects=True, cpp_numerov=True)

Properties of Ytterbium 174 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)	Not implemented for Alkaline earths
effectiveCharge(l, r)	Not implemented for Alkaline earths
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)	Not implemented for Alkaline earths
radialWavefunction(l, s, j, stateEnergy, ...)	Not implemented for Alkaline earths
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

I	Nuclear spin
NISTdataLevels
Z	Atomic number
a1	Model potential parameters fitted from experimental observations for different l (electron angular momentum)
a2
a3
a4
abundance	relative isotope abundance
alpha
alphaC	Core polarizability
alpha_d_eff	ion core dipole polarisability
alpha_q_eff	ion core quadrupole polarisability
cpp_numerov	swich - should the wavefunction be calculated with Numerov algorithm implemented in C++
dataFolder
defectFittingRange	Quantum defect principal quantum number fitting ranges for different series
dipoleMatrixElementFile	location of hard-disk stored dipole matrix elements
elementName	Human-readable element name
energyLevelsExtrapolated	flag that is turned to True if the energy levels of this atom were calculated by extrapolating with quantum defects values outside the quantum defect fitting range.
extraLevels	levels that are for smaller principal quantum number (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	file cotaining data on hyperfine structure (magnetic dipole A and magnetic quadrupole B constnats).
ionisationEnergy	ionisationEnergy in eV
levelDataFromNIST	Sources Refs.
literatureDMEfilename	Filename of the additional literature source values of dipole matrix elements.
mass	Ref.
meltingPoint	in K
minQuantumDefectN	Not used with DivalentAtom, see defectFittingRange instead.
modelPotential_coef	Model potential parameters fitted from experimental observations for different l (electron angular momentum)
precalculatedDB
preferQuantumDefects
quadrupoleMatrixElementFile	location of hard-disk stored dipole matrix elements
quantumDefect	Contains list of modified Rydberg-Ritz coefficients for calculating quantum defects for [[ \(^1S_{0},^1P_{1},^1D_{2},^1F_{3}\)], [ \(^3S_{1},^3P_{0},^3D_{1},^3F_{2}\)], [ \(^3S_{1},^3P_{1},^3D_{2},^3F_{3}\)], [ \(^3S_{1},^3P_{2},^3D_{3},^3F_{4}\)]].
rc
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	eV Ref.