Atom Number Fluctuations in Bose Gases - Statistical analysis of parameter estimation

Toke Vibel; Mikkel Berg Christensen; Rasmus Malthe Fiil Andersen; Laurits Nikolaj Stokholm; Krzysztof Pawlowski; Kazimierz Rzazewski; Mick Kristensen; Jan Joachim Arlt

doi:10.1088/1361-6455/ad7458

Atom Number Fluctuations in Bose Gases - Statistical analysis of parameter estimation

Toke Vibel^*, Mikkel Berg Christensen, Rasmus Malthe Fiil Andersen, Laurits Nikolaj Stokholm, Krzysztof Pawlowski, Kazimierz Rzazewski, Mick Kristensen, Jan Joachim Arlt

^*Corresponding author for this work

Department of Physics and Astronomy - Center for Complex Quantum Systems

Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review

Abstract

The investigation of atom number fluctuations in quantum gases at finite temperatures showcases the ongoing challenges in understanding complex quantum systems. Recently, the microcanonical nature of atom number fluctuations in weakly interacting Bose–Einstein condensates was observed. This motivates an investigation of the thermal component of partially condensed Bose gases, due to the conservation of the total atom number. Here, we present a combined analysis of both components, including a comprehensive analysis of the uncertainties in the preparation and parameter extraction of partially condensed quantum gases. This enables a complementary observation of the thermal atom number fluctuations and yields and improved value of the peak BEC atom number fluctuations close to the critical temperature. This corresponds to a reduction by 41% with respect to previous analysis and corroborates the microcanonical nature of the fluctuations. The analysis of noise contributions due to the preparation and evaluation of partially condensed Bose gases is based on Monte Carlo simulations of optical density profiles. Importantly, this allows for an estimation of the technical noise contributions to the atom number and temperature, which is generally applicable in the field of ultracold atoms.

Original language	Danish
Article number	195301
Journal	Journal of Physics B: Atomic, Molecular and Optical Physics
Volume	57
Issue	19
Number of pages	17
ISSN	0953-4075
DOIs	https://doi.org/10.1088/1361-6455/ad7458
Publication status	Published - Oct 2024

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10.1088/1361-6455/ad7458Licence: CC BY

https://arxiv.org/abs/2403.15047Licence: CC BY

Cite this

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title = "Atom Number Fluctuations in Bose Gases - Statistical analysis of parameter estimation",

abstract = "The investigation of atom number fluctuations in quantum gases at finite temperatures showcases the ongoing challenges in understanding complex quantum systems. Recently, the microcanonical nature of atom number fluctuations in weakly interacting Bose–Einstein condensates was observed. This motivates an investigation of the thermal component of partially condensed Bose gases, due to the conservation of the total atom number. Here, we present a combined analysis of both components, including a comprehensive analysis of the uncertainties in the preparation and parameter extraction of partially condensed quantum gases. This enables a complementary observation of the thermal atom number fluctuations and yields and improved value of the peak BEC atom number fluctuations close to the critical temperature. This corresponds to a reduction by 41% with respect to previous analysis and corroborates the microcanonical nature of the fluctuations. The analysis of noise contributions due to the preparation and evaluation of partially condensed Bose gases is based on Monte Carlo simulations of optical density profiles. Importantly, this allows for an estimation of the technical noise contributions to the atom number and temperature, which is generally applicable in the field of ultracold atoms.",

author = "Toke Vibel and Christensen, {Mikkel Berg} and Andersen, {Rasmus Malthe Fiil} and Stokholm, {Laurits Nikolaj} and Krzysztof Pawlowski and Kazimierz Rzazewski and Mick Kristensen and Arlt, {Jan Joachim}",

year = "2024",

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doi = "10.1088/1361-6455/ad7458",

language = "Dansk",

volume = "57",

journal = "Journal of Physics B: Atomic, Molecular and Optical Physics",

issn = "0953-4075",

publisher = "IOP Publishing Ltd.",

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Atom Number Fluctuations in Bose Gases - Statistical analysis of parameter estimation. / Vibel, Toke; Christensen, Mikkel Berg ; Andersen, Rasmus Malthe Fiil et al.
In: Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 57, No. 19, 195301, 10.2024.

Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review

TY - JOUR

T1 - Atom Number Fluctuations in Bose Gases - Statistical analysis of parameter estimation

AU - Vibel, Toke

AU - Christensen, Mikkel Berg

AU - Andersen, Rasmus Malthe Fiil

AU - Stokholm, Laurits Nikolaj

AU - Pawlowski, Krzysztof

AU - Rzazewski, Kazimierz

AU - Kristensen, Mick

AU - Arlt, Jan Joachim

PY - 2024/10

Y1 - 2024/10

N2 - The investigation of atom number fluctuations in quantum gases at finite temperatures showcases the ongoing challenges in understanding complex quantum systems. Recently, the microcanonical nature of atom number fluctuations in weakly interacting Bose–Einstein condensates was observed. This motivates an investigation of the thermal component of partially condensed Bose gases, due to the conservation of the total atom number. Here, we present a combined analysis of both components, including a comprehensive analysis of the uncertainties in the preparation and parameter extraction of partially condensed quantum gases. This enables a complementary observation of the thermal atom number fluctuations and yields and improved value of the peak BEC atom number fluctuations close to the critical temperature. This corresponds to a reduction by 41% with respect to previous analysis and corroborates the microcanonical nature of the fluctuations. The analysis of noise contributions due to the preparation and evaluation of partially condensed Bose gases is based on Monte Carlo simulations of optical density profiles. Importantly, this allows for an estimation of the technical noise contributions to the atom number and temperature, which is generally applicable in the field of ultracold atoms.

AB - The investigation of atom number fluctuations in quantum gases at finite temperatures showcases the ongoing challenges in understanding complex quantum systems. Recently, the microcanonical nature of atom number fluctuations in weakly interacting Bose–Einstein condensates was observed. This motivates an investigation of the thermal component of partially condensed Bose gases, due to the conservation of the total atom number. Here, we present a combined analysis of both components, including a comprehensive analysis of the uncertainties in the preparation and parameter extraction of partially condensed quantum gases. This enables a complementary observation of the thermal atom number fluctuations and yields and improved value of the peak BEC atom number fluctuations close to the critical temperature. This corresponds to a reduction by 41% with respect to previous analysis and corroborates the microcanonical nature of the fluctuations. The analysis of noise contributions due to the preparation and evaluation of partially condensed Bose gases is based on Monte Carlo simulations of optical density profiles. Importantly, this allows for an estimation of the technical noise contributions to the atom number and temperature, which is generally applicable in the field of ultracold atoms.

U2 - 10.1088/1361-6455/ad7458

DO - 10.1088/1361-6455/ad7458

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VL - 57

JO - Journal of Physics B: Atomic, Molecular and Optical Physics

JF - Journal of Physics B: Atomic, Molecular and Optical Physics

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