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 af dette arbejde

Institut for Fysik og Astronomi - Center for Complex Quantum Systems (CCQ)

Publikation: Bidrag til tidsskrift/Konferencebidrag i tidsskrift /Bidrag til avis › Tidsskriftartikel › Forskning › 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.

Originalsprog	Dansk
Artikelnummer	195301
Tidsskrift	Journal of Physics B: Atomic, Molecular and Optical Physics
Vol/bind	57
Nummer	19
Antal sider	17
ISSN	0953-4075
DOI	https://doi.org/10.1088/1361-6455/ad7458
Status	Udgivet - okt. 2024

Adgang til dokumentet

10.1088/1361-6455/ad7458Licens: CC BY

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

Citationsformater

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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}",

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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.
I: Journal of Physics B: Atomic, Molecular and Optical Physics, Bind 57, Nr. 19, 195301, 10.2024.

Publikation: Bidrag til tidsskrift/Konferencebidrag i tidsskrift /Bidrag til avis › Tidsskriftartikel › Forskning › 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

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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.

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