Wave functions of a hydrogen atom perturbed by an electric field are calculated under the assumption of a first-order Stark effect. It is assumed that the strength of the perturbation field is constant and its direction rotates around a fixed axis with a constant angular velocity. The ground state of the atom is not affected by the perturbation field. The energy level of the first excited state of the perturbed atom splits into nine sub-levels. The Lymann alpha line emitted from the perturbed atom consists of seven components. In the case where the angular velocity of the field rotation is small, the structure of the line is similar to that of the line emitted from an atom perturbed by a static field. In the case where, the angular velocity is large, it is similar to that of the line emitted from an unperturbed atom.Wave functions of a hydrogen atom perturbed by an electric field are calculated under the assumption of a first-order Stark effect. It is assumed that the strength of the perturbation field is constant and its direction rotates around a fixed axis with a constant angular velocity. The ground state of the atom is not affected by the perturbation field. The energy level of the first excited state of the perturbed atom splits into nine sub-levels. The Lymann alpha line emitted from the perturbed atom consists of seven components. In the case where the angular velocity of the field rotation is small, the structure of the line is similar to that of the line emitted from an atom perturbed by a static field. In the case where, the angular velocity is large, it is similar to that of the line emitted from an unperturbed atom.

Journal of the Physical Society of JapanAug 1, 196716 citations

Perturbation Theory

Jan-Markus Schwindt

Undergraduate lecture notes in physicsOct 27, 20151 citation

Tuning long-range interactions in Sr Rydberg atoms: the effect of series perturbations

Türker Topçu, Andrei Derevianko

We investigate the effect of series perturbation on the second-order dipole-dipole interactions between strontium atoms in the $5sns({^1}S_0)$ and $5snp({^1}P_1)$ Rydberg states as a means of engineering long-range interactions between atoms. The series perturbation in these atoms enables modifying the strength and the sign of the interaction by varying the principal quantum number $n$ of the Rydberg electron. We utilize experimentally available data to estimate the importance of perturber states, and find that van der Waals interaction between two strontium atoms in the $5snp({^1}P_1)$ states shows strong peaks outside the anticipated hydrogenic $n^{11}$ scaling. We identify this to be the result of the perturbation of $5snd({^1}D_2)$ intermediate states by the $4d^2({^1}D_2)$ and $4dn's({^1}D_2)$ states in the $n<20$ range. This demonstrates that divalent atoms offer a unique advantage for generating substantially stronger or weaker inter-atomic interactions than those that can be achieved using alkali metal atoms. This is due to the highly perturbed spectra of divalent atoms and other multivalent atoms that can persist up to high $n$ . Such irregularities can be especially useful in engineering asymmetric Ry blockade requiring the simultaneous presence of both ``weak'' and ``strong'' interactions.We investigate the effect of series perturbation on the second-order dipole-dipole interactions between strontium atoms in the $5sns({^1}S_0)$ and $5snp({^1}P_1)$ Rydberg states as a means of engineering long-range interactions between atoms. The series perturbation in these atoms enables modifying the strength and the sign of the interaction by varying the principal quantum number $n$ of the Rydberg electron. We utilize experimentally available data to estimate the importance of perturber states, and find that van der Waals interaction between two strontium atoms in the $5snp({^1}P_1)$ states shows strong peaks outside the anticipated hydrogenic $n^{11}$ scaling. We identify this to be the result of the perturbation of $5snd({^1}D_2)$ intermediate states by the $4d^2({^1}D_2)$ and $4dn's({^1}D_2)$ states in the $n<20$ range. This demonstrates that divalent atoms offer a unique advantage for generating substantially stronger or weaker inter-atomic interactions than those that can be achieved using alkali metal atoms. This is due to the highly perturbed spectra of divalent atoms and other multivalent atoms that can persist up to high $n$. Such irregularities can be especially useful in engineering asymmetric Ry blockade requiring the simultaneous presence of both ``weak'' and ``strong'' interactions.

arXiv:1505.07152May 26, 20151 citation

Perturbation Theory

Pedro Pereyra Padilla

Undergraduate lecture notes in physicsJan 1, 20121 citation

Redistribution of radiation by slowly perturbed atoms

Dietrich Voslamber

Redistribution of weak near-resonance radiation by perturbed two-state atoms is investigated without making the assumption of binary collisions. Perturbation of the atoms is assumed to occur as level fluctuations which obey a stationary stochastic process. The redistribution function is formally established in the atom's rest frame, neglecting lower-state broadening. The infinitesimally narrow Rayleigh component is shown to exist under a wide range of conditions, independently of the approximations made in binary-collision treatments. It is demonstrated that for slow perturbations of Rayleigh response function (intensity of the narrow component) is significantly different in shape from the absorption profile, even close to resonance. Slow perturbations also entail the occurrence of a broadened Rayleigh component in addition to the narrow Rayleigh component and the broadened fluorescence component. The redistribution function is evaluated for three special cases corresponding to small perturbations, very slow perturbations and perturbations obeying a Poisson step process.Redistribution of weak near-resonance radiation by perturbed two-state atoms is investigated without making the assumption of binary collisions. Perturbation of the atoms is assumed to occur as level fluctuations which obey a stationary stochastic process. The redistribution function is formally established in the atom's rest frame, neglecting lower-state broadening. The infinitesimally narrow Rayleigh component is shown to exist under a wide range of conditions, independently of the approximations made in binary-collision treatments. It is demonstrated that for slow perturbations of Rayleigh response function (intensity of the narrow component) is significantly different in shape from the absorption profile, even close to resonance. Slow perturbations also entail the occurrence of a broadened Rayleigh component in addition to the narrow Rayleigh component and the broadened fluorescence component. The redistribution function is evaluated for three special cases corresponding to small perturbations, very slow perturbations and perturbations obeying a Poisson step process.

Journal of Physics B Atomic and Molecular PhysicsOct 28, 19861 citation

Perturbation Theory

Jochen Pade

Undergraduate lecture notes in physicsNov 7, 20130 citations

We investigate the effect of series perturbation on the second-order dipole-dipole interactions between strontium atoms in the

5sns({^1}S_0)

and

5snp({^1}P_1)

Rydberg states as a means of engineering long-range interactions between atoms. The series perturbation in these atoms enables modifying the strength and the sign of the interaction by varying the principal quantum number

n

of the Rydberg electron. We utilize experimentally available data to estimate the importance of perturber states, and find that van der Waals interaction between two strontium atoms in the

5snp({^1}P_1)

states shows strong peaks outside the anticipated hydrogenic

n^{11}

scaling. We identify this to be the result of the perturbation of

5snd({^1}D_2)

intermediate states by the

4d^2({^1}D_2)

and

4dn's({^1}D_2)

states in the

n<20

range. This demonstrates that divalent atoms offer a unique advantage for generating substantially stronger or weaker inter-atomic interactions than those that can be achieved using alkali metal atoms. This is due to the highly perturbed spectra of divalent atoms and other multivalent atoms that can persist up to high

n

. Such irregularities can be especially useful in engineering asymmetric Ry blockade requiring the simultaneous presence of both ``weak'' and ``strong'' interactions.