Ac Stark shifts in a two-zone Raman interaction

Hemmer, P. R.; Shahriar, M. S.; Natoli, V.; Ezekiel, S.

doi:10.1364/josab.6.001519

Cited by 79 publications

(81 citation statements)

References 5 publications

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“…As studied previously [7], the interplay between atomic coherence, the light fields, and the multi-level atomic structure leads to complicated light shift behavior, with contributions from resonant, CPT-generating couplings and non-resonant couplings. Because we can precisely control the CPT beam parameters and the atomic internal state, our experiment is a unique test-bed to evaluate the different contributions.…”

Section: Light Shiftmentioning

confidence: 75%

A compact cold-atom frequency standard based on coherent population trapping

Esnault

Donley

Kitching

2012

2012 IEEE International Frequency Control Symposium Proceedings

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Section: Light Shiftmentioning

confidence: 75%

A compact cold-atom frequency standard based on coherent population trapping

Esnault

Donley

Kitching

2012

2012 IEEE International Frequency Control Symposium Proceedings

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“…Just as the COSAIN is a variant of the CRAIN, the COSAC is a variant of the Conventional Raman Atomic Clock (CORAC) [24][25][26][27]. In ref.…”

Section: Qn L Smentioning

confidence: 99%

Effects of non-idealities and quantization of the center of mass motion on symmetric and asymmetric collective states in a collective state atomic interferometer

Sarkar

Kim

Fang

et al. 2015

Journal of Modern Optics

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We investigate the behavior of an ensemble of N non-interacting, identical atoms, excited by a laser. In general, the i-th atom sees a Rabi frequency Ω i , an initial position dependent laser phase φ i , and a motion induced Doppler shift of δ i . When Ω i or δ i is distinct for each atom, the system evolves into a superposition of 2 N intercoupled states, of which there are N + 1 symmetric and (2 N − (N + 1)) asymmetric collective states. For a collective state atomic interferometer (COSAIN) we recently proposed, it is important to understand the behavior of all the collective states under various conditions. In this paper, we show how to formulate the properties of these states under various non-idealities, and use this formulation to understand the dynamics thereof.We also consider the effect of treating the center of mass degree of freedom of the atoms quantum mechanically on the description of the collective states, illustrating that it is indeed possible to construct a generalized collective state, as needed for the COSAIN, when each atom is assumed to be in a localized wave packet. The analysis presented in this paper is important for understanding the dynamics of the COSAIN, and will help advance the analysis and optimization of spin squeezing in the presence of practically unavoidable non-idealities as well as in the domain where the center of mass motion of the atoms is quantized.

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“…One example is an atomic clock employing coherent population trapping [12]. The basic process employs only three Zeeman sublevels.…”

Section: Applying the Code To A System With An Arbitrary Number Of Enmentioning

confidence: 99%

Evolution of anN-level system via automated vectorization of the Liouville equations and application to optically controlled polarization rotation

Shahriar

Wang

Krishnamurthy

et al. 2014

Journal of Modern Optics

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The Liouville equation governing the evolution of the density matrix for an atomic/molecular system is expressed in terms of a commutator between the density matrix and the Hamiltonian, along with terms that account for decay and redistribution. To find solutions of this equation, it is convenient first to reformulate the Liouville equation by defining a vector corresponding to the elements of the density operator, and determining the corresponding time-evolution matrix. For a system of N energy levels, the size of the evolution matrix is N 2 × N 2 . When N is very large, evaluating the elements of these matrices becomes very cumbersome. We describe a novel algorithm that can produce the evolution matrix in an automated fashion for an arbitrary value of N. As a non-trivial example, we apply this algorithm to a 15-level atomic system used for producing optically controlled polarization rotation. We also point out how such a code can be extended for use in an atomic system with arbitrary number of energy levels.

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Ac Stark shifts in a two-zone Raman interaction

Cited by 79 publications

References 5 publications

A compact cold-atom frequency standard based on coherent population trapping

A compact cold-atom frequency standard based on coherent population trapping

Effects of non-idealities and quantization of the center of mass motion on symmetric and asymmetric collective states in a collective state atomic interferometer

Evolution of anN-level system via automated vectorization of the Liouville equations and application to optically controlled polarization rotation

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