We study the transitions between the ground and excited Wannier states induced by a weak ac field. Because the upper Wannier states are several orders of magnitude less stable than the ground states, these transitions decrease the global stability of the system characterized by the rate of probability leakage or decay rate. Using non-Hermitian resonant perturbation theory we obtain an analytical expression for this induced decay rate. The analytical results are compared with exact numerical calculations of the system decay rate.We study the transitions between the ground and excited Wannier states induced by a weak ac field. Because the upper Wannier states are several orders of magnitude less stable than the ground states, these transitions decrease the global stability of the system characterized by the rate of probability leakage or decay rate. Using non-Hermitian resonant perturbation theory we obtain an analytical expression for this induced decay rate. The analytical results are compared with exact numerical calculations of the system decay rate.

Journal of Optics B Quantum and Semiclassical OpticsOct 1, 200010 citations

Resonant States and the Decay Process

Gastón García‐Calderón

Springer eBooksJan 1, 199213 citations

Remark on the decay of a mixed state

Pavel Exner

Czechoslovak Journal of PhysicsSep 1, 19764 citations

Anomalies in the decay rates of antiprotonic helium-atom states

H. Yamaguchi, Takashi Ishikawa, Jun Sakaguchi +8 more

Six resonance transitions of the antiprotonic helium atom in helium gas at densities of $3\ifmmode\times\else\texttimes\fi{}{10}^{20}--3\ifmmode\times\else\texttimes\fi{}{10}^{21} {\mathrm{cm}}^{\ensuremath{-}3}$ were studied at the antiproton decelerator (AD) of CERN. The decay rates of the daughter states of these transitions were determined either from the time distributions of the resonance spikes or from the widths of the resonance lines. Whereas most of the observed decay rates agree with theoretical calculations of Auger rates, two states, $(n,l)=(37,33)$ and (32,31), were found to have decay rates two orders of magnitude larger than predicted by these calculations. The effect of coupling with near-lying electron-excited states is considered to be the reason for the anomaly of the (37, 33) state, as pointed out by Kartavtsev et al. [Phys. Rev. A $61,$ 062507 (2000)].Six resonance transitions of the antiprotonic helium atom in helium gas at densities of $3\ifmmode\times\else\texttimes\fi{}{10}^{20}--3\ifmmode\times\else\texttimes\fi{}{10}^{21} {\mathrm{cm}}^{\ensuremath{-}3}$ were studied at the antiproton decelerator (AD) of CERN. The decay rates of the daughter states of these transitions were determined either from the time distributions of the resonance spikes or from the widths of the resonance lines. Whereas most of the observed decay rates agree with theoretical calculations of Auger rates, two states, $(n,l)=(37,33)$ and (32,31), were found to have decay rates two orders of magnitude larger than predicted by these calculations. The effect of coupling with near-lying electron-excited states is considered to be the reason for the anomaly of the (37, 33) state, as pointed out by Kartavtsev et al. [Phys. Rev. A $61,$ 062507 (2000)].

Physical Review AAug 15, 200234 citations

Stark-enhanced decay of the 1 D2 state in Ba

Jerzy Kwela, Adriaan J. van Wijngaarden

The 877.5-nm electric-field-induced quench radiation on a thermal beam of Ba atoms in the metastable 6s5d $^{1}$ ${\mathit{D}}_{2}$ state for transition to the 5 ${\mathit{s}}^{2}$ $^{1}$ ${\mathit{S}}_{0}$ ground state has been measured at the 3% precision level. The Stark-enhanced dipole radiation yields a simple relationship between the field-free-decay rates for transitions between the metastable $^{1}$ ${\mathit{D}}_{2}$ state and the nearby states that are mixed in by the field. Using the known decay rates, we obtain a decay rate of A(6s6p $^{3}$ ${\mathit{P}}_{1}$ --6s5d $^{1}$ ${\mathit{D}}_{2}$ )\ensuremath{\sim}7\ifmmode\times\else\texttimes\fi{} ${10}^{3}$ ${\mathrm{s}}^{\mathrm{\ensuremath{-}}1}$.The 877.5-nm electric-field-induced quench radiation on a thermal beam of Ba atoms in the metastable 6s5d $^{1}$${\mathit{D}}_{2}$ state for transition to the 5${\mathit{s}}^{2}$ $^{1}$${\mathit{S}}_{0}$ ground state has been measured at the 3% precision level. The Stark-enhanced dipole radiation yields a simple relationship between the field-free-decay rates for transitions between the metastable $^{1}$${\mathit{D}}_{2}$ state and the nearby states that are mixed in by the field. Using the known decay rates, we obtain a decay rate of A(6s6p $^{3}$${\mathit{P}}_{1}$--6s5d $^{1}$${\mathit{D}}_{2}$)\ensuremath{\sim}7\ifmmode\times\else\texttimes\fi{}${10}^{3}$ ${\mathrm{s}}^{\mathrm{\ensuremath{-}}1}$.

Physical Review ADec 1, 19905 citations

The Decay of Coupled States

Princeton University Press eBooksApr 13, 20210 citations

(n,l)=(37,33)

and (32,31), were found to have decay rates two orders of magnitude larger than predicted by these calculations. The effect of coupling with near-lying electron-excited states is considered to be the reason for the anomaly of the (37, 33) state, as pointed out by Kartavtsev et al. [Phys. Rev. A

61,

062507 (2000)].

The 877.5-nm electric-field-induced quench radiation on a thermal beam of Ba atoms in the metastable 6s5d

^{1}

{\mathit{D}}_{2}

state for transition to the 5

{\mathit{s}}^{2}

^{1}

{\mathit{S}}_{0}

ground state has been measured at the 3% precision level. The Stark-enhanced dipole radiation yields a simple relationship between the field-free-decay rates for transitions between the metastable

^{1}

{\mathit{D}}_{2}

state and the nearby states that are mixed in by the field. Using the known decay rates, we obtain a decay rate of A(6s6p

^{3}

{\mathit{P}}_{1}

--6s5d

^{1}

{\mathit{D}}_{2}

)\ensuremath{\sim}7\ifmmode\times\else\texttimes\fi{}

{10}^{3}

${\mathrm{s}}^{\mathrm{\ensuremath{-}}1}$.