Tomography of a Number-Resolving Detector by Reconstruction of an Atomic Many-Body Quantum State

Mareike Hetzel; Luca Pezzè; Cebrail Pür; Martin Quensen; Andreas Hüper; Jiao Geng; Jens Kruse; Luis Santos; Wolfgang Ertmer; Augusto Smerzi; Carsten Klempt

doi:10.48550/arXiv.2207.01270

Tomography of a Number-Resolving Detector by Reconstruction of an Atomic Many-Body Quantum State

Mareike Hetzel^*
, Luca Pezzè
, Cebrail Pür
, Martin Quensen
, Andreas Hüper
, Jiao Geng
, Jens Kruse
, Luis Santos
, Wolfgang Ertmer
, Augusto Smerzi
, Carsten Klempt

^*Corresponding author for this work

Research output: Contribution to journal › Article › Research › peer review

Abstract

The high-fidelity analysis of many-body quantum states of indistinguishable atoms requires the accurate counting of atoms. Here we report the tomographic reconstruction of an atom-number-resolving detector. The tomography is performed with an ultracold rubidium ensemble that is prepared in a coherent spin state by driving a Rabi coupling between the two hyperfine clock levels. The coupling is followed by counting the occupation number in one level. We characterize the fidelity of our detector and show that a negative-valued Wigner function is associated with it. Our results offer an exciting perspective for the high-fidelity reconstruction of entangled states and can be applied for a future demonstration of Heisenberg-limited atom interferometry.

Original language	English
Article number	260601
Number of pages	7
Journal	Physical review letters
Volume	131
Issue number	26
DOIs	https://doi.org/10.48550/arXiv.2207.01270 https://doi.org/10.1103/PhysRevLett.131.260601
Publication status	Published - 26 Dec 2023

ASJC Scopus subject areas

General Physics and Astronomy

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Cite this

Hetzel, M., Pezzè, L., Pür, C., Quensen, M., Hüper, A., Geng, J., Kruse, J., Santos, L., Ertmer, W., Smerzi, A., & Klempt, C. (2023). Tomography of a Number-Resolving Detector by Reconstruction of an Atomic Many-Body Quantum State. Physical review letters, 131(26), Article 260601. https://doi.org/10.48550/arXiv.2207.01270, https://doi.org/10.1103/PhysRevLett.131.260601

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title = "Tomography of a Number-Resolving Detector by Reconstruction of an Atomic Many-Body Quantum State",

abstract = "The high-fidelity analysis of many-body quantum states of indistinguishable atoms requires the accurate counting of atoms. Here we report the tomographic reconstruction of an atom-number-resolving detector. The tomography is performed with an ultracold rubidium ensemble that is prepared in a coherent spin state by driving a Rabi coupling between the two hyperfine clock levels. The coupling is followed by counting the occupation number in one level. We characterize the fidelity of our detector and show that a negative-valued Wigner function is associated with it. Our results offer an exciting perspective for the high-fidelity reconstruction of entangled states and can be applied for a future demonstration of Heisenberg-limited atom interferometry.",

author = "Mareike Hetzel and Luca Pezz{\`e} and Cebrail P{\"u}r and Martin Quensen and Andreas H{\"u}per and Jiao Geng and Jens Kruse and Luis Santos and Wolfgang Ertmer and Augusto Smerzi and Carsten Klempt",

note = "Funding Information: This work is supported by the QuantERA grants SQUEIS and MENTA. We acknowledge financial support from the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation), Project ID 274200144-SFB 1227 DQ-mat within the project B01 and Germany{\textquoteright}s Excellence Strategy, EXC-2123 QuantumFrontiers, Project-ID 390837967. M. Q. acknowledges support from the Hannover School for Nanotechnology (HSN). ",

year = "2023",

month = dec,

day = "26",

doi = "10.48550/arXiv.2207.01270",

language = "English",

volume = "131",

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T1 - Tomography of a Number-Resolving Detector by Reconstruction of an Atomic Many-Body Quantum State

AU - Hetzel, Mareike

AU - Pezzè, Luca

AU - Pür, Cebrail

AU - Quensen, Martin

AU - Hüper, Andreas

AU - Geng, Jiao

AU - Kruse, Jens

AU - Santos, Luis

AU - Ertmer, Wolfgang

AU - Smerzi, Augusto

AU - Klempt, Carsten

N1 - Funding Information: This work is supported by the QuantERA grants SQUEIS and MENTA. We acknowledge financial support from the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation), Project ID 274200144-SFB 1227 DQ-mat within the project B01 and Germany’s Excellence Strategy, EXC-2123 QuantumFrontiers, Project-ID 390837967. M. Q. acknowledges support from the Hannover School for Nanotechnology (HSN).

PY - 2023/12/26

Y1 - 2023/12/26

N2 - The high-fidelity analysis of many-body quantum states of indistinguishable atoms requires the accurate counting of atoms. Here we report the tomographic reconstruction of an atom-number-resolving detector. The tomography is performed with an ultracold rubidium ensemble that is prepared in a coherent spin state by driving a Rabi coupling between the two hyperfine clock levels. The coupling is followed by counting the occupation number in one level. We characterize the fidelity of our detector and show that a negative-valued Wigner function is associated with it. Our results offer an exciting perspective for the high-fidelity reconstruction of entangled states and can be applied for a future demonstration of Heisenberg-limited atom interferometry.

AB - The high-fidelity analysis of many-body quantum states of indistinguishable atoms requires the accurate counting of atoms. Here we report the tomographic reconstruction of an atom-number-resolving detector. The tomography is performed with an ultracold rubidium ensemble that is prepared in a coherent spin state by driving a Rabi coupling between the two hyperfine clock levels. The coupling is followed by counting the occupation number in one level. We characterize the fidelity of our detector and show that a negative-valued Wigner function is associated with it. Our results offer an exciting perspective for the high-fidelity reconstruction of entangled states and can be applied for a future demonstration of Heisenberg-limited atom interferometry.

UR - https://www.scopus.com/pages/publications/85181397348

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DO - 10.48550/arXiv.2207.01270

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JO - Physical review letters

JF - Physical review letters

IS - 26

M1 - 260601

ER -

Tomography of a Number-Resolving Detector by Reconstruction of an Atomic Many-Body Quantum State

Abstract

ASJC Scopus subject areas

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Other files and links

Number-resolved Analysis of Many-body Quantum States

DQ-mat: Collaborative Research Centre 1227/2, sub-project B01: Single-particle-resolved entangled atomic ensembles for quantum metrology

DQ-mat: Collaborative Research Centre 1227/2: Designed Quantum States of Matter - Generation, Manipulation and Detection for Metrological Applications and Tests of Fundamental Physics

QuantumFrontiers: Cluster of Excellence 2123/1: Light and Matter at the Quantum Frontier

Cite this

Tomography of a Number-Resolving Detector by Reconstruction of an Atomic Many-Body Quantum State

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Research output

Number-resolved Analysis of Many-body Quantum States

Projects

DQ-mat: Collaborative Research Centre 1227/2, sub-project B01: Single-particle-resolved entangled atomic ensembles for quantum metrology

DQ-mat: Collaborative Research Centre 1227/2: Designed Quantum States of Matter - Generation, Manipulation and Detection for Metrological Applications and Tests of Fundamental Physics

QuantumFrontiers: Cluster of Excellence 2123/1: Light and Matter at the Quantum Frontier

Cite this