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

Journal of Experimental and Theoretical Physics Letters

Quantum Accelerometry Based on a Geometric Phase

A. M. Rostom, V. A. Tomilin, L. V. Il’ichev

Published Oct 1, 2024• 0 citations
Publisher

Abstract

A conceptual model of a promising quantum accelerometer based on a two-mode atomic Bose–Einstein condensate has been proposed. Acceleration generates a specific difference in geometric phases between the condensate modes, which shifts the interference pattern of matter waves. The modes have ring configurations, in the plane of which the measured acceleration vector lies. The homogeneity of the potentials of the ring configurations is interrupted by additional localized potentials generated by defects. Under the variation of the parameters of appropriately located defects with a certain structure, the wavefunctions of the condensate modes acquire geometric phases that differ in the presence of acceleration. Calculations performed for ring configurations of the condensate of 87Rb atoms with a radius of 0.25 mm has showed that the proposed scheme can detect a microgravity of ~10–6–10–7g.

DOI
10.1134/s0021364024602471

Related papers

Geometric Phase-Mediated Quantum Gyroscope

A. M. Rostom, V. A. Tomilin, Leonid V. Il'ichov

Abstract Perspective methods of quantum metrology are highly suitable for designing new types of gyroscopes. Matter waves-based gyroscopic schemes have already been implemented in optical setups. In the nearing future, it might be possible to implement them with macroscopic coherent structures of atomic Bose-Einstein condensates (BECs). This work considers a ring-shaped BEC configuration interrupted by a localized potential “defect.” It is shown that variation of the shape of this “defect” generates atomic geometric phase. In a pair of such configurations opposite geometric phases may be obtained, with their difference equal to zero in absence of rotation. This difference can be revealed by observing interference of the atoms from different configurations. Calculation of resulting geometric phases is carried out for a model “defect” in a ring of 0.5 cm diameter detecting Earth’s diurnal rotation.

Journal of Experimental and Theoretical Physics•Sep 1, 2022•2 citations

Barrier–Well Potential Configuration for Quantum Gyroscope Based on Atomic BEC Geometric Phase

V. A. Tomilin, A. M. Rostom, Leonid V. Il'ichov

A perspective scheme of quantum gyroscope based on measurement of geometric phase emerging in atomic Bose–Einstein condensate (BEC) was developed. The main elements of the device are two ring-shaped BEC configurations intercepted by a pair of localized potentials—a barrier and a well. Their placement in each ring defines their orientation with respect to the angular velocity of rotation of the device’s frame. Proper variation of the parameters of the barriers and wells induces opposite-sign geometric phases in the BEC modes. Difference of these phases can be measured in interference experiment. We present results of geometric phase calculations for BEC of 87Rb atoms in ring potentials of 0.5 cm diameter and angular velocities comparable to that of the Earth’s rotation.

Journal of Experimental and Theoretical Physics Letters•Feb 26, 2024•1 citation

Hybrid Atomic–Optical Quantum Gyrometry

V. A. Tomilin, L. V. Il’ichev

A “hybrid” atomic–optical scheme of an interferometer–gyroscope has been proposed and investigated. It is based on the ring configuration of a Bose–Einstein condensate that is intercepted by an additional potential barrier or well. This ring configuration defect is created by a nonresonant radiation beam that interacts dispersively with the atoms located in its region. The beam propagates along one of the arms of a Mach–Zehnder interferometer. The rotation of the gyrometer reference system modifies the state of the condensate due to the mentioned potential defect and it, in turn, changes the conditions of interference of radiation interacting with atoms. In contrast to the well-known ideas of using the Bose–Einstein condensate in gyrometry, which imply the destruction of the condensate in order to directly observe its interference, the proposed scheme ideally operates without the loss of atoms by the condensate. The efficiency of the scheme has been estimated for realistic conditions.

Journal of Experimental and Theoretical Physics Letters•Feb 1, 2021•3 citations

Geometric Phase of the Two-Particle Bethe Wavefunction

V. A. Tomilin, A. M. Rostom, L. V. Il'ichov

We consider a problem of geometric phase generation in a system of two interacting bosons confined in a narrow ring potential with a localized defect. Geometric phase emerges from variation of parameters of the defect. Particle interaction is taken into account within a framework of the Lieb-Liniger model. The energy spectrum is evaluated and its dependence on the parameters of the problem is described. It is shown that the interaction leads to increase of the geometric phase for a given contour of variations. The work is motivated by earlier proposed ideas of quantum gyroscope and quantum accelerometer based on atomic Bose-Einstein condensates.

quant-pharXiv:2512.01243•Journal of Experimental and Theoretical Physics Letters•Dec 2, 2025•0 citations

Vector atom accelerometry in an optical lattice

Catherine LeDesma, Kendall Mehling, Murray Holland

The creation of a matter-wave interferometer can be achieved by loading Bose-Einstein condensed atoms into an optical lattice. By shaking the lattice via either phase or frequency modulation, the traditional steps of interferometry; splitting, propagating, reflecting, again propagating and then recombining the atomic wavefunction, can be implemented, allowing for the sensing of broad range of inertial signals. This approach is interesting, since the atoms can be supported against external forces and perturbations, and the system can be completely reconfigurable on-the-fly for a new design goal. We report on theoretical and experimental results in which atoms are cooled to degeneracy in a dipole trap and subsequently loaded into a multidimensional optical lattice. Shaking protocols for obtaining interferometry steps are derived via machine-design approaches consisting of machine learning and quantum optimal control. Experimental confirmation of the designed operation of a two-dimensional vector accelerometer is shown and its performance to applied accelerations measured. Both the direction and magnitude of the applied signal is varied and validation of both scenarios presented.

Optical and Quantum Sensing and Precision Metrology II•Mar 19, 2025•1 citation

Accelerometry via reflective atom interferometry

Fabian Spallek, Johannes Fiedler

Abstract We present a reflective atom-interferometric approach to acceleration sensing, in which matter waves are coherently split and recombined solely through diffraction from nanostructured surfaces. Unlike light-pulse atom interferometers, the method is completely laser-free and operates on millisecond time scales, enabling compact and robust sensor architectures. Two readout strategies are explored: (i) the shift of the diffracted output angles, and (ii) the interferometric phase modulation generated by three successive reflections within the device. Using analytical models for diffraction from a moving lattice, we compute the sensitivity to lateral and normal accelerations. The interferometric mode exhibits a pronounced amplification of small velocity changes, reaching sensitivities as low as $$10^{-10}\,{\text {g}}$$ 10 - 10 g for slow atoms and large incidence angles. The response is intrinsically stronger for lateral than for normal accelerations due to the asymmetry of the diffraction paths. Comparisons with existing technologies show that the reflective interferometer fills a gap between MEMS-based accelerometers and large light-pulse atom interferometers, offering high sensitivity, continuous readout, and a fully passive beam-splitting mechanism. These results identify reflective interferometry as a promising platform for next-generation quantum accelerometers.

The European Physical Journal D•Oct 1, 2026•0 citations
A conceptual model of a promising quantum accelerometer based on a two-mode atomic Bose–Einstein condensate has been proposed. Acceleration generates a specific difference in geometric phases between the condensate modes, which shifts the interference pattern of matter waves. The modes have ring configurations, in the plane of which the measured acceleration vector lies. The homogeneity of the potentials of the ring configurations is interrupted by additional localized potentials generated by defects. Under the variation of the parameters of appropriately located defects with a certain structure, the wavefunctions of the condensate modes acquire geometric phases that differ in the presence of acceleration. Calculations performed for ring configurations of the condensate of 87Rb atoms with a radius of 0.25 mm has showed that the proposed scheme can detect a microgravity of ~10–6–10–7g.
Abstract Perspective methods of quantum metrology are highly suitable for designing new types of gyroscopes. Matter waves-based gyroscopic schemes have already been implemented in optical setups. In the nearing future, it might be possible to implement them with macroscopic coherent structures of atomic Bose-Einstein condensates (BECs). This work considers a ring-shaped BEC configuration interrupted by a localized potential “defect.” It is shown that variation of the shape of this “defect” generates atomic geometric phase. In a pair of such configurations opposite geometric phases may be obtained, with their difference equal to zero in absence of rotation. This difference can be revealed by observing interference of the atoms from different configurations. Calculation of resulting geometric phases is carried out for a model “defect” in a ring of 0.5 cm diameter detecting Earth’s diurnal rotation.
A perspective scheme of quantum gyroscope based on measurement of geometric phase emerging in atomic Bose–Einstein condensate (BEC) was developed. The main elements of the device are two ring-shaped BEC configurations intercepted by a pair of localized potentials—a barrier and a well. Their placement in each ring defines their orientation with respect to the angular velocity of rotation of the device’s frame. Proper variation of the parameters of the barriers and wells induces opposite-sign geometric phases in the BEC modes. Difference of these phases can be measured in interference experiment. We present results of geometric phase calculations for BEC of 87Rb atoms in ring potentials of 0.5 cm diameter and angular velocities comparable to that of the Earth’s rotation.
A “hybrid” atomic–optical scheme of an interferometer–gyroscope has been proposed and investigated. It is based on the ring configuration of a Bose–Einstein condensate that is intercepted by an additional potential barrier or well. This ring configuration defect is created by a nonresonant radiation beam that interacts dispersively with the atoms located in its region. The beam propagates along one of the arms of a Mach–Zehnder interferometer. The rotation of the gyrometer reference system modifies the state of the condensate due to the mentioned potential defect and it, in turn, changes the conditions of interference of radiation interacting with atoms. In contrast to the well-known ideas of using the Bose–Einstein condensate in gyrometry, which imply the destruction of the condensate in order to directly observe its interference, the proposed scheme ideally operates without the loss of atoms by the condensate. The efficiency of the scheme has been estimated for realistic conditions.
We consider a problem of geometric phase generation in a system of two interacting bosons confined in a narrow ring potential with a localized defect. Geometric phase emerges from variation of parameters of the defect. Particle interaction is taken into account within a framework of the Lieb-Liniger model. The energy spectrum is evaluated and its dependence on the parameters of the problem is described. It is shown that the interaction leads to increase of the geometric phase for a given contour of variations. The work is motivated by earlier proposed ideas of quantum gyroscope and quantum accelerometer based on atomic Bose-Einstein condensates.
The creation of a matter-wave interferometer can be achieved by loading Bose-Einstein condensed atoms into an optical lattice. By shaking the lattice via either phase or frequency modulation, the traditional steps of interferometry; splitting, propagating, reflecting, again propagating and then recombining the atomic wavefunction, can be implemented, allowing for the sensing of broad range of inertial signals. This approach is interesting, since the atoms can be supported against external forces and perturbations, and the system can be completely reconfigurable on-the-fly for a new design goal. We report on theoretical and experimental results in which atoms are cooled to degeneracy in a dipole trap and subsequently loaded into a multidimensional optical lattice. Shaking protocols for obtaining interferometry steps are derived via machine-design approaches consisting of machine learning and quantum optimal control. Experimental confirmation of the designed operation of a two-dimensional vector accelerometer is shown and its performance to applied accelerations measured. Both the direction and magnitude of the applied signal is varied and validation of both scenarios presented.
Abstract We present a reflective atom-interferometric approach to acceleration sensing, in which matter waves are coherently split and recombined solely through diffraction from nanostructured surfaces. Unlike light-pulse atom interferometers, the method is completely laser-free and operates on millisecond time scales, enabling compact and robust sensor architectures. Two readout strategies are explored: (i) the shift of the diffracted output angles, and (ii) the interferometric phase modulation generated by three successive reflections within the device. Using analytical models for diffraction from a moving lattice, we compute the sensitivity to lateral and normal accelerations. The interferometric mode exhibits a pronounced amplification of small velocity changes, reaching sensitivities as low as 10−10 g10^{-10}\,{\text {g}}10−10g 10 - 10 g for slow atoms and large incidence angles. The response is intrinsically stronger for lateral than for normal accelerations due to the asymmetry of the diffraction paths. Comparisons with existing technologies show that the reflective interferometer fills a gap between MEMS-based accelerometers and large light-pulse atom interferometers, offering high sensitivity, continuous readout, and a fully passive beam-splitting mechanism. These results identify reflective interferometry as a promising platform for next-generation quantum accelerometers.