Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:quant-ph/0606073 · Physical Review A

Two-frequency Ramsey interferometry

D. Seidel, Juan Gonzalo Muga

Published Feb 16, 2007• 6 citations
arXivHTMLPDF

Abstract

We investigate Ramsey interferometry for two separated fields oscillating with different frequencies. It is shown that the interplay between average and relative detuning leads to interference effects not present in the standard, single-frequency setup. For a large free-flight time of ground-state atoms before entering the first field region, the Ramsey fringes with respect to the relative detuning become much narrower than the usual ones. The stability of these effects with respect to phase or velocity fluctuations is discussed.

DOI
10.1103/physreva.75.023811

Related papers

Ramsey interferometry with two frequencies

D. Seidel, Juan Gonzalo Muga, Ion Lizuain

The interference fringes of an atomic Ramsey interferometer may be narrowed if the two separated fields have different frequencies and their phase difference is controlled. For spatially separated fields, their width depends inversely on the free flight time of ground state atoms before entering the first field region in addition to the time between the fields. The narrowing effect is stable with respect to velocity fluctuations and for realistic mode functions. We also show that systematic phase shifts and phase fluctuations do not aggravate the frequency offset of the standard (one-frequency) Ramsey method.

Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE•Jun 7, 2007•1 citation

Quantum Motion Effects in Atom Interferometry

Dirk Seidel, Juan Gonzalo Muga

Abstract We study the Ramsey interference pattern of ultracold atoms crossing two electromagnetic fields, taking into account quantum motion effects. It is shown that quantum reflection and transmission at the fields lead to a modification of the standard fringes. The implications on present frequency standards are discussed. For weak coupling, the difference between the exact quantum result and the semiclassical result is small but results in a central peak shift that may become important for future accuracies of atomic clocks. In the strong coupling regime, a resonance structure with respect to the detuning is observed and the Ramsey setup acts as a matter‐wave Fabry‐Perot device. Our results question the advantage of using increasingly lower velocities in frequency standards because the peak shift and the resonance positions depend sensitively on very minor variations of the atomic velocity and are difficult to control.

Israel Journal of Chemistry•Dec 1, 2007•1 citation

Ramsey interferometry with atoms and molecules: Two-body versus many-body phenomena

Krzysztof Góral, Thorsten Köhler, Keith R. Burnett

We discuss the frequency and visibility of atom-molecule Ramsey fringes observed in recent experiments by Claussen et al. [Phys. Rev. A 67, 060701 (2003)]. In these experiments a $^{85}\mathrm{Rb}$ Bose-Einstein condensate was exposed to a sequence of magnetic field pulses on the high-field side of the $155\phantom{\rule{0.3em}{0ex}}\mathrm{G}$ Feshbach resonance. The observed oscillation frequencies largely agree with the theoretically predicted magnetic field dependence of the binding energy of the highest excited diatomic vibrational state, except for a small region very close to the singularity of the scattering length. Our analytic treatment of the experiment, as well as our dynamical simulations, follow the magnitude of the measured oscillation frequencies as well as the visibilities of the Ramsey fringes. We show that significant deviations from a purely binary dynamics, with an associated binding frequency, occur when the spatial extent of the molecular wave function becomes comparable with the mean distance between the atoms in the dilute gas. The experiments thus clearly identify the conditions under which diatomic molecules may be identified as a separate entity of the gas or, conversely, when the concept of binary physics in a many-body environment is bound to break down.

arXiv:cond-mat/0407627•Physical Review A•Feb 9, 2005•15 citations

Ramsey Interferometry with Quantized Fields

G. S. Agarwal, Pradyumna K. Pathak, Marlan O. Scully

Implications of field quantization on Ramsey interferometry are discussed and general conditions for the occurrence of interference are obtained. Interferences do not occur if the fields in two Ramsey zones have precise number of photons. However in this case we show how two atom (like two photon) interferometry can be used to discern a variety of interference effects as the two independent Ramsey zones get entangled by the passage of first atom. PACS number(s): 03.75.Dg, 03.65.Ud, 42.50.-p Typeset using REVTEX 1 The method of using spatially separated fields as proposed by Ramsey has been proved to be very useful for high resolution work. It was originally proposed as a technique in the microwave domain [1] which was then extended to studies in optical domain [2]. More recently this technique has been used very successfully in the studies of quantum entanglement resulting from the interaction of atoms with radiation in a high quality cavity. In this context Ramsey technique enables one to study the entanglement in different basis of states

•Jul 19, 2002•0 citations

Single-atom and two-atom Ramsey interferometry with quantized fields

G. S. Agarwal, Pradyumna K. Pathak, Marlan O. Scully

Implications of field quantization on Ramsey interferometry are discussed and general conditions for the occurrence of interference are obtained. Interferences do not occur if the fields in two Ramsey zones have a precise number of photons. However, in this case we show how an analog of Hanbury-Brown Twiss photon-photon correlation interferometry can be used to discern a variety of interference effects as the two independent Ramsey zones get entangled by the passage of the first atom. Interferences are restored by working with fields at a single-photon level. Generation of entangled states including states such as $|2,0〉{+e}^{i\ensuremath{\theta}}|0,2〉$ is discussed.

arXiv:quant-ph/0207111•Physical Review A•Apr 11, 2003•8 citations

Study of Ramsey Interferometry with Three-level Tonks-Girardeau Gas

Shougang Zhang

The Ramsey's method of separated oscillatory fields is applied to study Ramsey interferometry but using a Tonks-Girardeau model that describes a coherent one-dimensional gas of ultracold bosons with strong interactions.Under the equal detuning,the interference fringes width can be narrowed by increasing the Rabi frequency and the field-crossing time.Moreover,we gain further insight into the quantum projection noise.In contrast to a two-level TG gas,our results illustrate that the modulation of the total number of three-level atoms and the external fields tend to lower the quantum noise limit,so as to reduce the interference of the noise to the strongly interacting bosonic Tonks-Girardeau gas.The investigation on the atomic interferometry is a great theoretical guidance to the research of quantum frequency standard.

Journal of Time and Frequency•Jan 1, 2010•0 citations
We investigate Ramsey interferometry for two separated fields oscillating with different frequencies. It is shown that the interplay between average and relative detuning leads to interference effects not present in the standard, single-frequency setup. For a large free-flight time of ground-state atoms before entering the first field region, the Ramsey fringes with respect to the relative detuning become much narrower than the usual ones. The stability of these effects with respect to phase or velocity fluctuations is discussed.
The interference fringes of an atomic Ramsey interferometer may be narrowed if the two separated fields have different frequencies and their phase difference is controlled. For spatially separated fields, their width depends inversely on the free flight time of ground state atoms before entering the first field region in addition to the time between the fields. The narrowing effect is stable with respect to velocity fluctuations and for realistic mode functions. We also show that systematic phase shifts and phase fluctuations do not aggravate the frequency offset of the standard (one-frequency) Ramsey method.
Abstract We study the Ramsey interference pattern of ultracold atoms crossing two electromagnetic fields, taking into account quantum motion effects. It is shown that quantum reflection and transmission at the fields lead to a modification of the standard fringes. The implications on present frequency standards are discussed. For weak coupling, the difference between the exact quantum result and the semiclassical result is small but results in a central peak shift that may become important for future accuracies of atomic clocks. In the strong coupling regime, a resonance structure with respect to the detuning is observed and the Ramsey setup acts as a matter‐wave Fabry‐Perot device. Our results question the advantage of using increasingly lower velocities in frequency standards because the peak shift and the resonance positions depend sensitively on very minor variations of the atomic velocity and are difficult to control.
We discuss the frequency and visibility of atom-molecule Ramsey fringes observed in recent experiments by Claussen et al. [Phys. Rev. A 67, 060701 (2003)]. In these experiments a 85Rb^{85}\mathrm{Rb}85Rb Bose-Einstein condensate was exposed to a sequence of magnetic field pulses on the high-field side of the 155G155\phantom{\rule{0.3em}{0ex}}\mathrm{G}155G Feshbach resonance. The observed oscillation frequencies largely agree with the theoretically predicted magnetic field dependence of the binding energy of the highest excited diatomic vibrational state, except for a small region very close to the singularity of the scattering length. Our analytic treatment of the experiment, as well as our dynamical simulations, follow the magnitude of the measured oscillation frequencies as well as the visibilities of the Ramsey fringes. We show that significant deviations from a purely binary dynamics, with an associated binding frequency, occur when the spatial extent of the molecular wave function becomes comparable with the mean distance between the atoms in the dilute gas. The experiments thus clearly identify the conditions under which diatomic molecules may be identified as a separate entity of the gas or, conversely, when the concept of binary physics in a many-body environment is bound to break down.
Implications of field quantization on Ramsey interferometry are discussed and general conditions for the occurrence of interference are obtained. Interferences do not occur if the fields in two Ramsey zones have precise number of photons. However in this case we show how two atom (like two photon) interferometry can be used to discern a variety of interference effects as the two independent Ramsey zones get entangled by the passage of first atom. PACS number(s): 03.75.Dg, 03.65.Ud, 42.50.-p Typeset using REVTEX 1 The method of using spatially separated fields as proposed by Ramsey has been proved to be very useful for high resolution work. It was originally proposed as a technique in the microwave domain [1] which was then extended to studies in optical domain [2]. More recently this technique has been used very successfully in the studies of quantum entanglement resulting from the interaction of atoms with radiation in a high quality cavity. In this context Ramsey technique enables one to study the entanglement in different basis of states
Implications of field quantization on Ramsey interferometry are discussed and general conditions for the occurrence of interference are obtained. Interferences do not occur if the fields in two Ramsey zones have a precise number of photons. However, in this case we show how an analog of Hanbury-Brown Twiss photon-photon correlation interferometry can be used to discern a variety of interference effects as the two independent Ramsey zones get entangled by the passage of the first atom. Interferences are restored by working with fields at a single-photon level. Generation of entangled states including states such as $|2,0〉{+e}^{i\ensuremath{\theta}}|0,2〉$ is discussed.
The Ramsey's method of separated oscillatory fields is applied to study Ramsey interferometry but using a Tonks-Girardeau model that describes a coherent one-dimensional gas of ultracold bosons with strong interactions.Under the equal detuning,the interference fringes width can be narrowed by increasing the Rabi frequency and the field-crossing time.Moreover,we gain further insight into the quantum projection noise.In contrast to a two-level TG gas,our results illustrate that the modulation of the total number of three-level atoms and the external fields tend to lower the quantum noise limit,so as to reduce the interference of the noise to the strongly interacting bosonic Tonks-Girardeau gas.The investigation on the atomic interferometry is a great theoretical guidance to the research of quantum frequency standard.