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We discuss in detail the experimental investigation of thermally induced fluctuations of the relative phase between two weakly coupled Bose-Einstein condensates. In analogy to superconducting Josephson junctions, the weak coupling…

Other Condensed Matter · Physics 2007-05-23 R. Gati , J. Esteve , B. Hemmerling , T. B. Ottenstein , J. Appmeier , A. Weller , M. K. Oberthaler

For quantum fluids, the role of quantum fluctuations may be significant in several regimes such as when the dimensionality is low, the density is high, the interactions are strong, or for low particle numbers. In this paper we propose a…

Quantum Gases · Physics 2018-02-02 R. N. Bisset , P. G. Kevrekidis , C. Ticknor

Cold atom developments suggest the prospect of measuring scaling properties and long-range fluctuations of continuous phase transitions at zero-temperature. We discuss the conditions for characterizing the phase separation of Bose-Einstein…

Statistical Mechanics · Physics 2012-02-16 D. H. Santamore , Eddy Timmermans

The fluctuations of the atom number between a Bose-Einstein condensate and the surrounding thermal gas have been the subject of a long standing theoretical debate. This discussion is centered around the appropriate thermodynamic ensemble to…

Supersolidity in a dipolar Bose-Einstein condensate (BEC), which is the coexistence of crystalline density modulation and global phase coherence, emerges from the interplay of contact interactions, long-range dipole-dipole forces, and…

Quantum Gases · Physics 2025-10-29 Changjian Yu , Jinbin Li , Kui-Tian Xi

At finite temperatures below the phase transition point, the Bose-Einstein condensation, the macroscopic occupation of a single quantum state by particles of integer spin, is not complete. In the language of superfluid helium, this means…

Mathematical Physics · Physics 2015-09-16 Dionisios Margetis

A paramagnetic-ferromagnetic quantum phase transition is known to occur at zero temperature in a two-dimensional coherently-coupled Bose mixture of dilute ultracold atomic gases provided the interspecies interaction strength is large…

Quantum Gases · Physics 2023-04-05 Arko Roy , Miki Ota , Franco Dalfovo , Alessio Recati

The investigation of the fluctuations in interacting quantum systems at finite temperatures showcases the ongoing challenges in understanding complex quantum systems. Recently, atom number fluctuations in weakly interacting Bose-Einstein…

We investigate the possibilities of distinguishing the mean-field and fluctuation effects on the critical temperature of a trapped Bose gas with repulsive interatomic interactions. Since in a direct measurement of the critical temperature…

Statistical Mechanics · Physics 2014-10-13 M. Houbiers , H. T. C. Stoof , E. A. Cornell

We optimize the classical field approximation of the version described in J. Phys. B 40, R1 (2007) for the oscillations of a Bose gas trapped in a harmonic potential at nonzero temperatures, as experimentally investigated by Jin et al.…

Quantum Gases · Physics 2010-03-31 Tomasz Karpiuk , Miroslaw Brewczyk , Mariusz Gajda , Kazimierz Rzazewski

Here we report on the experimental investigation of thermally induced fluctuations of the relative phase between two Bose-Einstein condensates which are coupled via tunneling. The experimental control over the coupling strength and the…

Other Condensed Matter · Physics 2009-11-11 Rudolf Gati , Boerge Hemmerling , Jonas Foelling , Michael Albiez , Markus K. Oberthaler

The relative importance of density and phase fluctuations in ultracold one dimensional atomic Bose gases is investigated. By defining appropriate characteristic temperatures for their respective onset, a broad experimental regime is found,…

Other Condensed Matter · Physics 2009-11-11 N. P. Proukakis

We investigate an ultra-cold mixture of Bose gases interacting via spin-changing collisions by studying the dynamics of spin fluctuations. The experimental implementation employs $^{23}$Na and $^{7}$Li atoms, which are prepared out of…

Quantum Gases · Physics 2023-03-29 Apoorva Hegde , Robert Ott , Andy Xia , Valentin Kasper , Jürgen Berges , Fred Jendrzejewski

We investigate the conditions under which quantum fluctuations are relevant for the quantitative interpretation of experiments with ultracold Bose gases. This requires to go beyond the description in terms of the Gross-Pitaevskii and…

Other Condensed Matter · Physics 2008-11-26 J. Berges , T. Gasenzer

Quantum phase transitions, transitions between many-body ground states, are of extensive interest in research ranging from condensed matter physics to cosmology. Key features of the phase transitions include a stage with rapidly growing new…

Quantum Gases · Physics 2017-12-19 Lei Feng , Logan W. Clark , Anita Gaj , Cheng Chin

We study the Bose-Einstein condensation phase transition in a weakly interacting gas through a perturbative analysis of finite systems. In both the grand canonical and the canonical ensembles, perturbation theory suffers from infrared…

Statistical Mechanics · Physics 2009-11-07 Erich J. Mueller , Gordon Baym , Markus Holzmann

We numerically model decaying quantum turbulence in two-dimensional disk-shaped Bose-Einstein condensates, and investigate the effects of finite temperature on the turbulent dynamics. We prepare initial states with a range of condensate…

Quantum Gases · Physics 2020-03-18 Andrew J. Groszek , Matthew J. Davis , Tapio P. Simula

We theoretically study a three-dimensional weakly-interacting Bose gas with Raman-induced spin-orbit coupling at finite temperature. By employing a generalized Hartree-Fock-Bogoliubov theory with Popov approximation, we determine a complete…

Quantum Gases · Physics 2024-08-26 Xiao-Long Chen , Xia-Ji Liu , Hui Hu

The ground state entanglement of the two-mode Bose-Einstein condensate is investigated through a quantum phase transition approach. The entanglement measure is taken as the order parameter and this is a non-local order parameter, which is…

Quantum Physics · Physics 2012-02-23 Wei Fan , Yan Xu. Bing Chen , Zhaoyang Chen , Xunli Feng , C. H. Oh

We discuss the quantum phases and their diffusion in a spinor-1 atomic Bose-Einstein condensate. For ferromagnetic interactions, we obtain the exact ground state distribution of the phase fluctuations corresponding to the total atom number…

Condensed Matter · Physics 2009-11-10 S. Yi , Ö. E. Müstecaplıoğlu , L. You