© 2026 Aqora Quantum S.A.S.

Terms Privacy Legal Notice

Deep-Lattice Bloch-Band Interferometry for Inertial Sensing

Christian Ordetx

Published Jan 7, 2026• 0 citations

Abstract

Atom interferometers exploit the wave nature of matter to measure inertial forces with high precision, but conventional light-pulse implementations typically require large free-fall distances and complex optical systems. Bloch-band interferometry offers an alternative architecture in which atoms remain confined within an optical lattice and interferometric operations are implemented through controlled transitions between Bloch bands. This thesis investigates Bloch-band interferometry with particular emphasis on robustness to phase decoherence and operation in the deep-lattice regime. The work begins with multi-well models that provide intuition for tunneling, interference, and phase coherence. Phase scrambling was introduced to model loss of coherence, demonstrating that interference contrast is reduced but not eliminated. These insights motivated a full momentum-space simulation of a Bloch-band Michelson interferometer, including splitting, transport, reflection, and recombination. Acceleration scans with site-to-site phase randomness showed that interferometric fringes and sensitivity persist even with reduced coherence. Building on this robustness, Bloch-band interferometry was extended to a deep optical lattice with depth of 27 times the recoil energy. Higher Bloch bands were used to define interferometric pathways, and machine-learned shaking functions were implemented to realize beamsplitter and mirror operations. The resulting deep-lattice interferometer exhibits acceleration-dependent population fringes and measurable sensitivity. To our knowledge, this work presents the first exploration of Bloch-band interferometry in the deep-lattice regime and demonstrates the first realization of a deep-lattice Bloch-band interferometer for inertial sensing. These results suggest that Bloch-band interferometry can remain operational in regimes approaching the insulating limit, providing a potential route toward compact and robust quantum inertial sensors.

Related papers

Vector atom accelerometry in an optical lattice

Catie LeDesma, Kendall Mehling, Murray Holland

Two kinds of multidimensional atom interferometers are demonstrated that are capable of measuring both the magnitude and direction of applied inertial forces. These interferometers, built from ultracold Bose-Einstein condensed rubidium atoms, use an original design that operates entirely within the Bloch bands of an optical lattice. Through time-dependent lattice position control, we realize Bloch oscillations in two dimensions and a vector atomic Michelson interferometer. Fits to the observed Bloch oscillations demonstrate the measurement of an applied acceleration of 2 g along two axes, where g is Earth’s gravitational acceleration. For the Michelson interferometer, we perform Bayesian inferencing from a 49-channel output by repeating experiments for two-axis accelerations and demonstrate vector parameter estimation. Accelerations can be measured from single experimental runs and do not require repeated shots to construct a fringe. The performance of our device is near the quantum limit for the interferometer size and quantum detection efficiency of the atoms.

arXiv:2407.04874•Science Advances•Jun 6, 2025•14 citations

Bloch oscillation phases investigated by multipath Stückelberg atom interferometry

Tahiyat Rahman, Anna Wirth-Singh, Andrew Ivanov +3 more

Atoms undergoing Bloch oscillations (BOs) in an accelerating optical lattice acquire momentum of two photon recoils per BO. This technique provides a large momentum transfer tool for atom optics, but its full exploitation for atom interferometric sensors requires both experimental and theoretical characterization of associated phases. Each BO involves a Landau-Zener crossing with multiple crossings inducing interference known as Stückelberg interference. We develop a multipath Stückelberg interferometer and investigate atomic phase evolution during BOs, up to 100 photon recoil momentum transfer. We compare to numerically calculated single-particle Schrödinger evolution, demonstrate highly coherent BO sequences, and assess phase stability requirements for BO-enhanced precision interferometry in fundamental physics and sensing applications. Published by the American Physical Society 2024

arXiv:2308.04134•Physical Review Research•Apr 15, 2024•9 citations

Building a Matter-Wave Interferometer in a 1D Optical Lattice via Machine Learning Techniques

Catie LeDesma, Kendall Mehling, Jieqiu Shao +3 more

The creation of a 1D matter-wave interferometer can be achieved by utilizing ultracold atoms loaded into an optical lattice. By shaking the lattice via either phase or frequency modulation, the traditional steps of interferometry- effectively splitting, propagating, reflecting, again propagating and then recombining the atomic wavefunction- can be implemented, allowing for the sensing 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 experimental results in which atoms are cooled into a dipole trap and subsequently loaded into an optical lattice. Shaking protocols for obtaining interferometry steps are derived via machine learning and quantum optimal control methods. We report experimental progress in realizing a shaken lattice interferometer and its sensitivity to an applied acceleration signal along with the possibility of tailoring the signal to specific scenarios. Additionally, closed loop learning from the experiment to improve signal sensitivity is explored and demonstrated.

Quantum 2.0 Conference and Exhibition•Jan 1, 2023•0 citations

Continuously trapped matter-wave interferometry in magic Floquet-Bloch band structures

Xiao Chai, Eber Nolasco-Martinez, Xuanwei Liang +8 more

Trapped matter-wave interferometry offers the promise of compact high-precision local force sensing. However, noise in the trap itself can introduce new systematic errors which are absent in traditional free-fall interferometers. We describe and demonstrate an intrinsically noise-tolerant Floquet-engineered platform for continuously trapped atom interferometry. A non-interacting degenerate quantum gas undergoes position-space Bloch oscillations through an amplitude-modulated optical lattice, whose resulting Floquet-Bloch band structure includes Landau-Zener beamsplitters and Bragg mirrors, forming the components of a Mach-Zehnder interferometric force sensor. We identify, realize, and experimentally characterize magic band structures, analogous to the magic wavelengths employed in optical lattice clocks, for which the interferometric phase is insensitive to lattice intensity noise. We leverage the intrinsic programmability of the Floquet band synthesis approach to demonstrate a variety of interferometer structures, highlighting the potential of this technique for quantum force sensors which are tunable, compact, simple, and robust.

Nature Communications•Feb 9, 2026•3 citations

Shaken Lattice Interferometry

Carrie Ann Weidner, Hoon Yu, Dana Anderson

Since the first demonstrations in 1991, atom interferometry has been a burgeoning field of research. The work done in this field is motivated by the potential sensitivity improvements that atom-based devices can have over the current state-of-the-art light- and MEMS-based devices. This dissertation presents a new and unique approach to atom interferometry in that we perform the basic interferometric sequence of splitting, propagation, reflection, reverse-propagation, and recombination with atoms trapped in a phase-modulated (shaken) optical lattice. In both simulation and experiment we demonstrate a one-dimensional shaken lattice interferometer configured as an accelerometer. The interferometry sequence is developed through the use of learning and optimal control algorithms that allow us to implement the desired state-to-state transformations and perform the desired operations, e.g. splitting and recombination of the atoms trapped in the lattice. This device has a sensitivity that scales as the square of the interrogation time and an ability to distinguish both the magnitude and sign of an applied acceleration signal. Furthermore we show that we can tailor the transfer function of the interferometer to be sensitive to a signal of interest, e.g. an AC signal of a given frequency. Finally, we explore the analytics of shaken lattice interferometry and offer some suggestions as to the future of this new technology.

Bulletin of the American Physical Society•Jun 12, 2015•1 citation

Continuously trapped matter-wave interferometry in magic Floquet-Bloch band structures

Xiao Chai, Eber Nolasco-Martinez, Liang, Xuanwei +8 more

Trapped matter-wave interferometry offers the promise of compact high-precision local force sensing. However, noise in the trap itself can introduce new systematic errors which are absent in traditional free-fall interferometers. We describe and demonstrate an intrinsically noise-tolerant Floquet-engineered platform for continuously trapped atom interferometry. A non-interacting degenerate quantum gas undergoes position-space Bloch oscillations through an amplitude-modulated optical lattice, whose resulting Floquet-Bloch band structure includes Landau-Zener beamsplitters and Bragg mirrors, forming the components of a Mach-Zehnder interferometric force sensor. We identify, realize, and experimentally characterize magic band structures, analogous to the magic wavelengths employed in optical lattice clocks, for which the interferometric phase is insensitive to lattice intensity noise. We leverage the intrinsic programmability of the Floquet band synthesis approach to demonstrate a variety of interferometer structures, highlighting the potential of this technique for quantum force sensors which are tunable, compact, simple, and robust.

arXiv:2506.11881•Jun 13, 2025•0 citations

Atom interferometers exploit the wave nature of matter to measure inertial forces with high precision, but conventional light-pulse implementations typically require large free-fall distances and complex optical systems. Bloch-band interferometry offers an alternative architecture in which atoms remain confined within an optical lattice and interferometric operations are implemented through controlled transitions between Bloch bands. This thesis investigates Bloch-band interferometry with particular emphasis on robustness to phase decoherence and operation in the deep-lattice regime. The work begins with multi-well models that provide intuition for tunneling, interference, and phase coherence. Phase scrambling was introduced to model loss of coherence, demonstrating that interference contrast is reduced but not eliminated. These insights motivated a full momentum-space simulation of a Bloch-band Michelson interferometer, including splitting, transport, reflection, and recombination. Acceleration scans with site-to-site phase randomness showed that interferometric fringes and sensitivity persist even with reduced coherence. Building on this robustness, Bloch-band interferometry was extended to a deep optical lattice with depth of 27 times the recoil energy. Higher Bloch bands were used to define interferometric pathways, and machine-learned shaking functions were implemented to realize beamsplitter and mirror operations. The resulting deep-lattice interferometer exhibits acceleration-dependent population fringes and measurable sensitivity. To our knowledge, this work presents the first exploration of Bloch-band interferometry in the deep-lattice regime and demonstrates the first realization of a deep-lattice Bloch-band interferometer for inertial sensing. These results suggest that Bloch-band interferometry can remain operational in regimes approaching the insulating limit, providing a potential route toward compact and robust quantum inertial sensors.

Two kinds of multidimensional atom interferometers are demonstrated that are capable of measuring both the magnitude and direction of applied inertial forces. These interferometers, built from ultracold Bose-Einstein condensed rubidium atoms, use an original design that operates entirely within the Bloch bands of an optical lattice. Through time-dependent lattice position control, we realize Bloch oscillations in two dimensions and a vector atomic Michelson interferometer. Fits to the observed Bloch oscillations demonstrate the measurement of an applied acceleration of 2 g along two axes, where g is Earth’s gravitational acceleration. For the Michelson interferometer, we perform Bayesian inferencing from a 49-channel output by repeating experiments for two-axis accelerations and demonstrate vector parameter estimation. Accelerations can be measured from single experimental runs and do not require repeated shots to construct a fringe. The performance of our device is near the quantum limit for the interferometer size and quantum detection efficiency of the atoms.

Atoms undergoing Bloch oscillations (BOs) in an accelerating optical lattice acquire momentum of two photon recoils per BO. This technique provides a large momentum transfer tool for atom optics, but its full exploitation for atom interferometric sensors requires both experimental and theoretical characterization of associated phases. Each BO involves a Landau-Zener crossing with multiple crossings inducing interference known as Stückelberg interference. We develop a multipath Stückelberg interferometer and investigate atomic phase evolution during BOs, up to 100 photon recoil momentum transfer. We compare to numerically calculated single-particle Schrödinger evolution, demonstrate highly coherent BO sequences, and assess phase stability requirements for BO-enhanced precision interferometry in fundamental physics and sensing applications. Published by the American Physical Society 2024

The creation of a 1D matter-wave interferometer can be achieved by utilizing ultracold atoms loaded into an optical lattice. By shaking the lattice via either phase or frequency modulation, the traditional steps of interferometry- effectively splitting, propagating, reflecting, again propagating and then recombining the atomic wavefunction- can be implemented, allowing for the sensing 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 experimental results in which atoms are cooled into a dipole trap and subsequently loaded into an optical lattice. Shaking protocols for obtaining interferometry steps are derived via machine learning and quantum optimal control methods. We report experimental progress in realizing a shaken lattice interferometer and its sensitivity to an applied acceleration signal along with the possibility of tailoring the signal to specific scenarios. Additionally, closed loop learning from the experiment to improve signal sensitivity is explored and demonstrated.

Trapped matter-wave interferometry offers the promise of compact high-precision local force sensing. However, noise in the trap itself can introduce new systematic errors which are absent in traditional free-fall interferometers. We describe and demonstrate an intrinsically noise-tolerant Floquet-engineered platform for continuously trapped atom interferometry. A non-interacting degenerate quantum gas undergoes position-space Bloch oscillations through an amplitude-modulated optical lattice, whose resulting Floquet-Bloch band structure includes Landau-Zener beamsplitters and Bragg mirrors, forming the components of a Mach-Zehnder interferometric force sensor. We identify, realize, and experimentally characterize magic band structures, analogous to the magic wavelengths employed in optical lattice clocks, for which the interferometric phase is insensitive to lattice intensity noise. We leverage the intrinsic programmability of the Floquet band synthesis approach to demonstrate a variety of interferometer structures, highlighting the potential of this technique for quantum force sensors which are tunable, compact, simple, and robust.

Since the first demonstrations in 1991, atom interferometry has been a burgeoning field of research. The work done in this field is motivated by the potential sensitivity improvements that atom-based devices can have over the current state-of-the-art light- and MEMS-based devices. This dissertation presents a new and unique approach to atom interferometry in that we perform the basic interferometric sequence of splitting, propagation, reflection, reverse-propagation, and recombination with atoms trapped in a phase-modulated (shaken) optical lattice. In both simulation and experiment we demonstrate a one-dimensional shaken lattice interferometer configured as an accelerometer. The interferometry sequence is developed through the use of learning and optimal control algorithms that allow us to implement the desired state-to-state transformations and perform the desired operations, e.g. splitting and recombination of the atoms trapped in the lattice. This device has a sensitivity that scales as the square of the interrogation time and an ability to distinguish both the magnitude and sign of an applied acceleration signal. Furthermore we show that we can tailor the transfer function of the interferometer to be sensitive to a signal of interest, e.g. an AC signal of a given frequency. Finally, we explore the analytics of shaken lattice interferometry and offer some suggestions as to the future of this new technology.

Trapped matter-wave interferometry offers the promise of compact high-precision local force sensing. However, noise in the trap itself can introduce new systematic errors which are absent in traditional free-fall interferometers. We describe and demonstrate an intrinsically noise-tolerant Floquet-engineered platform for continuously trapped atom interferometry. A non-interacting degenerate quantum gas undergoes position-space Bloch oscillations through an amplitude-modulated optical lattice, whose resulting Floquet-Bloch band structure includes Landau-Zener beamsplitters and Bragg mirrors, forming the components of a Mach-Zehnder interferometric force sensor. We identify, realize, and experimentally characterize magic band structures, analogous to the magic wavelengths employed in optical lattice clocks, for which the interferometric phase is insensitive to lattice intensity noise. We leverage the intrinsic programmability of the Floquet band synthesis approach to demonstrate a variety of interferometer structures, highlighting the potential of this technique for quantum force sensors which are tunable, compact, simple, and robust.