Project B01: Entangled neutral atoms for interferometry beyond the standard quantum limit

Atom interferometers belong to today's most precise sensors with broad applications for navigation, geodesy, time keeping as well as fundamental research. Typically, they are operated with uncorrelated particles, resulting in a fundamental limitation of the achievable sensitivity. This sensitivity limitation can only be overcome by operating the interferometers with entangled particles. In this project, we advance our entanglement-enhanced interferometers from demonstration experiments to a valuable source for a future generation of highest-sensitivity atomic sensors.

Introduction

Atom interferometers belong to today’s most precise sensors with broad applications for navigation, geodesy, time keeping as well as fundamental research. Typically, they are operated with uncorrelated particles, resulting in a fundamental limitation of the achievable sensitivity – the standard quantum limit (SQL). While the SQL allows improving the sensitivity by increasing the particle number, we have shown in the second funding period in collaboration with B07 (delocalised states) that quantum density fluctuations place a limit to this improvement, leading to an optimal atom number and a corresponding sensitivity limit, the density quantum limit (DQL). Both sensitivity limits can only be overcome by employing entangled particles as an input for new types of non-classical interferometers. However, up to now, only few proof-of-principle experiments have actually succeeded to exploit entangled sources of atoms for interferometric measurements. In this project, we advance our method from demonstration experiments to a valuable source for a future generation of highest-sensitivity atomic sensors.

Results

Within the second funding period, we have achieved important goals in this direction. We decreased the generation time of Rb Bose-Einstein condensates (BECs) to a world-record of 500 ms by employing dynamically shapeable optical potentials. Short BEC generation times are equally important for interfer- ometry with high duty cycles and for performing quantum state tomography for entangled many-body quantum states. We improved our detection system for single-particle resolved counting of up to 700 atoms. The novel detection has enabled us to perform a first single-atom resolved state tomography with a coherent spin state, that was generated on the Rb clock transition. Finally, we have just reached a ma- jor milestone in the lab by analysing a two-mode squeezed vacuum state with single-particle resolution.

The two-mode squeezed state is characterised by the generation of particle pairs, and prominent odd- even oscillations in the total atom number, all of which are now directly observable in our experiments. The two-mode squeezed state is a preferable input state for entanglement-enhanced interferometry, as we have shown within A02 (non-Gaussian atomic states). Here, we demonstrated the operation of a Ramsey sequence on the Rb clock transition beyond the SQL with long Ramsey times of up to 7 ms, solely limited by the available spatial region. Based on the development of a high-performance Raman laser system in collaboration with B07, the clock sequence was extended to a full atom interferomet- ric gravimeter. We have first results for an absolute gravimeter that enables a measurement of the gravitational acceleration with a resolution beyond the SQL, for the first time worldwide.

Objectives

Within the third funding period, we will combine these developments. The novel single-particle resolving detection scheme will allow demonstrating a metrological sensitivity close to the Heisenberg limit, which has so far only been reached with a small number of trapped ions or photons. We will further employ squeezed states to scale up the particle number in entanglement-enhanced interferometry and experimentally probe and surpass the DQL as a fundamental sensitivity limit.

The Raman laser system from project A02 will be implemented to extend the investigations towards inertially sensitive interferometers, including gravimetric measurements. The dynamically shapeable potentials enable us to generate multiple BECs and squeeze them simultaneously. This will be exploited for further enhancing the data rate by more than an order of magnitude, allowing for high-precision tomography of many-particle entangled states. The technique will be further employed to spatially resolved interferometry, where the multiple ensembles act as individual probes. This work will be pursued in close collaboration with project B07.

We will further increase the sensitivity of our squeezing-enhanced atom interferometers by the implementation of multi-photon beam splitters. We will apply the Raman laser system to transfer multiple momenta during the beam splitting process in order to achieve larger spatial splittings and a corresponding boost of the sensitivity, while maintaining the squeezing enhancement offered by the atomic source. We will provide further theoretical insight on the dynamics of our spin-1 BECs.


Publications

Showing results 1 - 9 out of 9

Feldmann P, Anders F, Idel A, Schubert C, Schlippert D, Santos L et al. Optimal squeezing for high-precision atom interferometers. 2023 Nov 17. Epub 2023 Nov 17. doi: 10.48550/arXiv.2311.10241
Hetzel M, Pezzè L, Pür C, Quensen M, Hüper A, Geng J et al. Tomography of a Number-Resolving Detector by Reconstruction of an Atomic Many-Body Quantum State. Physical review letters. 2023 Dec 26;131(26):260601. doi: 10.48550/arXiv.2207.01270, 10.1103/PhysRevLett.131.260601
Pür C, Hetzel M, Quensen M, Hüper A, Geng J, Kruse J et al. Rapid generation and number-resolved detection of spinor Rubidium Bose-Einstein condensates. Physical Review A. 2023 Mar 6;107(3):033303. doi: 10.48550/arXiv.2301.08172, 10.1103/PhysRevA.107.033303
Vitagliano G, Fadel M, Apellaniz I, Kleinmann M, Lücke B, Klempt C et al. Number-phase uncertainty relations and bipartite entanglement detection in spin ensembles. Quantum. 2023 Feb 9;7:914. Epub 2021 Apr 12. doi: 10.48550/arXiv.2104.05663, 10.22331/q-2023-02-09-914
Hueper A, Puer C, Hetzel M, Geng J, Peise J, Kruse I et al. Number-resolved preparation of mesoscopic atomic ensembles. New journal of physics. 2020 Dec 13;23(11):113046. doi: 10.1088/1367-2630/abd058
Kristensen MA, Christensen MB, Gajdacz M, Iglicki M, Pawłowski K, Klempt C et al. Observation of Atom Number Fluctuations in a Bose-Einstein Condensate. Physical Review Letters. 2019 Apr 26;122(16):163601. Epub 2019 Apr 22. doi: 10.48550/arXiv.1812.03064, 10.1103/PhysRevLett.122.163601
Pezzè L, Gessner M, Feldmann P, Klempt C, Santos L, Smerzi A. Heralded Generation of Macroscopic Superposition States in a Spinor Bose-Einstein Condensate. Physical Review Letters. 2019 Dec 31;123(26):260403. Epub 2019 Dec 27. doi: 10.48550/arXiv.1712.03864, 10.1103/PhysRevLett.123.260403
Kristensen MA, Gajdacz M, Pedersen PL, Klempt C, Sherson JF, Arlt JJ et al. Sub-atom shot noise Faraday imaging of ultracold atom clouds. Journal of Physics B: Atomic, Molecular and Optical Physics. 2017 Jan 17;50(3):034004. doi: 10.1088/1361-6455/50/3/034004
Gajdacz M, Hilliard AJ, Kristensen MA, Pedersen PL, Klempt C, Arlt JJ et al. Preparation of Ultracold Atom Clouds at the Shot Noise Level. Physical Review Letters. 2016 Aug 12;117(7):073604. doi: 10.1103/PhysRevLett.117.073604, 10.15488/3592
All publications of the Collaborative Research Centre

Project leader

apl. Prof. Dr. Carsten Klempt
Executive Board
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Welfengarten 1
30167 Hannover
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Welfengarten 1
30167 Hannover
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Prof. Dr. Luis Santos
Executive Board
Address
Appelstraße 2
30167 Hannover
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249
Address
Appelstraße 2
30167 Hannover
Building
Room
249

Staff

Martin Quensen
Address
Welfengarten 1
30167 Hannover
Building
Room
Martin Quensen
Address
Welfengarten 1
30167 Hannover
Building
Room