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Journal Articles

Ground state energy of Bogoliubov energy functional in the high density limit

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Norbert Mokrzański, Bartosz Pałuba
Journal: Journal of Mathematical Physics
J. Math. Phys. 65, 071902 (2024)
https://doi.org/10.1063/5.0206192
Published: July 2024
View articletitled, Ground state energy of Bogoliubov energy functional in the high density limit
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Journal Articles

Exponential decay of the number of excitations in the weakly interacting Bose gas

Open Access
David Mitrouskas, Peter Pickl
Journal: Journal of Mathematical Physics
J. Math. Phys. 64, 121901 (2023)
https://doi.org/10.1063/5.0172199
Published: December 2023
View articletitled, Exponential decay of the number of excitations in the weakly interacting Bose gas
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Journal Articles

Beyond mean-field: Condensate coupled with pair excitations

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Stephen Sorokanich
Journal: Journal of Mathematical Physics
J. Math. Phys. 64, 081904 (2023)
https://doi.org/10.1063/5.0125971
Published: August 2023
View articletitled, Beyond mean-field: Condensate coupled with pair excitations
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Journal Articles

The thermodynamic limit of an ideal Bose gas by asymptotic expansions and spectral ζ-functions

Open Access
Daniel Alexander Weiss
Journal: Journal of Mathematical Physics
J. Math. Phys. 63, 123302 (2022)
https://doi.org/10.1063/5.0114640
Published: December 2022
View articletitled, The thermodynamic limit of an ideal Bose gas by asymptotic expansions and spectral ζ-functions
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Journal Articles

Proper condensates and long range order

Open Access
Detlev Buchholz
Journal: Journal of Mathematical Physics
J. Math. Phys. 63, 081905 (2022)
https://doi.org/10.1063/5.0087983
Published: August 2022
View articletitled, Proper condensates and long range order
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Journal Articles

Bose–Einstein condensation on hyperbolic spaces

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Marius Lemm, Oliver Siebert
Journal: Journal of Mathematical Physics
J. Math. Phys. 63, 081903 (2022)
https://doi.org/10.1063/5.0088383
Published: August 2022
View articletitled, Bose–Einstein condensation on hyperbolic spaces
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Journal Articles

Dependent random variables in quantum dynamics

Open Access
Simone Rademacher
Journal: Journal of Mathematical Physics
J. Math. Phys. 63, 081902 (2022)
https://doi.org/10.1063/5.0086712
Published: August 2022
View articletitled, Dependent random variables in quantum dynamics
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Journal Articles

Ground state energy of the low density Bose gas with three-body interactions

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Phan Thành Nam, Julien Ricaud, Arnaud Triay
Journal: Journal of Mathematical Physics
J. Math. Phys. 63, 071903 (2022)
https://doi.org/10.1063/5.0087026
Published: July 2022
View articletitled, Ground state energy of the low density Bose gas with three-body interactions
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Journal Articles

A second order upper bound on the ground state energy of a Bose gas beyond the Gross–Pitaevskii regime

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Giulia Basti
Journal: Journal of Mathematical Physics
J. Math. Phys. 63, 071902 (2022)
https://doi.org/10.1063/5.0089790
Published: July 2022
View articletitled, A second order upper bound on the ground state energy of a Bose gas beyond the Gross–Pitaevskii regime
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Journal Articles

Reduced fluctuations for bosons in a double well

Open Access
Alessandro Olgiati
Journal: Journal of Mathematical Physics
J. Math. Phys. 63, 071901 (2022)
https://doi.org/10.1063/5.0089500
Published: July 2022
View articletitled, Reduced fluctuations for bosons in a double well
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Journal Articles

Dilute Bose gas with three-body interaction: Recent results and open questions

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Phan Thành Nam, Julien Ricaud, Arnaud Triay
Journal: Journal of Mathematical Physics
J. Math. Phys. 63, 061103 (2022)
https://doi.org/10.1063/5.0089775
Published: June 2022
View articletitled, Dilute Bose gas with three-body interaction: Recent results and open questions
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Journal Articles

Low-energy spectrum and dynamics of the weakly interacting Bose gas

Open Access
Lea Boßmann
Journal: Journal of Mathematical Physics
J. Math. Phys. 63, 061102 (2022)
https://doi.org/10.1063/5.0089983
Published: June 2022
View articletitled, Low-energy spectrum and dynamics of the weakly interacting Bose gas
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Journal Articles

The low energy spectrum of trapped bosons in the Gross–Pitaevskii regime

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Christian Brennecke
Journal: Journal of Mathematical Physics
J. Math. Phys. 63, 051101 (2022)
https://doi.org/10.1063/5.0089630
Published: May 2022
View articletitled, The low energy spectrum of trapped bosons in the Gross–Pitaevskii regime
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Journal Articles

Ground state energy of a Bose gas in the Gross–Pitaevskii regime

Open Access
Giulia Basti, Serena Cenatiempo, Alessandro Olgiati, Giulio Pasqualetti, Benjamin Schlein
Journal: Journal of Mathematical Physics
J. Math. Phys. 63, 041101 (2022)
https://doi.org/10.1063/5.0087116
Published: April 2022
View articletitled, Ground state energy of a Bose gas in the Gross–Pitaevskii regime
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Journal Articles

On ground states of the Bogoliubov energy functional: A direct proof

Open Access
Jakob Oldenburg
Journal: Journal of Mathematical Physics
J. Math. Phys. 62, 071902 (2021)
https://doi.org/10.1063/5.0054712
Published: July 2021
View articletitled, On ground states of the Bogoliubov energy functional: A direct proof
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Journal Articles

Another proof of BEC in the GP-limit

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Christian Hainzl
Journal: Journal of Mathematical Physics
J. Math. Phys. 62, 051901 (2021)
https://doi.org/10.1063/5.0039123
Published: May 2021
View articletitled, Another proof of BEC in the GP-limit
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Journal Articles

The free energy of the two-dimensional dilute Bose gas. II. Upper bound

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Simon Mayer, Robert Seiringer
Journal: Journal of Mathematical Physics
J. Math. Phys. 61, 061901 (2020)
https://doi.org/10.1063/5.0005950
Published: June 2020
View articletitled, The free energy of the two-dimensional dilute Bose gas. II. Upper bound
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Journal Articles

Improved stability for 2D attractive Bose gases

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Phan Thành Nam, Nicolas Rougerie
Journal: Journal of Mathematical Physics
J. Math. Phys. 61, 021901 (2020)
https://doi.org/10.1063/1.5131320
Published: February 2020
View articletitled, Improved stability for 2D attractive Bose gases
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Journal Articles

Bogoliubov theory for dilute Bose gases: The Gross-Pitaevskii regime

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Serena Cenatiempo
Journal: Journal of Mathematical Physics
J. Math. Phys. 60, 081901 (2019)
https://doi.org/10.1063/1.5096288
Published: August 2019
View articletitled, Bogoliubov theory for dilute Bose gases: The Gross-Pitaevskii regime
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Journal Articles

Ground state energy of a dilute two-dimensional Bose gas from the Bogoliubov free energy functional

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Søren Fournais, Marcin Napiórkowski, Robin Reuvers, Jan Philip Solovej
Journal: Journal of Mathematical Physics
J. Math. Phys. 60, 071903 (2019)
https://doi.org/10.1063/1.5096987
Published: July 2019
View articletitled, Ground state energy of a dilute two-dimensional Bose gas from the Bogoliubov free energy functional
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