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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

We analyze a proposed experiment [Boixo et al., Phys. Rev. Lett. 101, 040403 (2008)] for achieving sensitivity scaling better than $1/N$ in a nonlinear Ramsey interferometer that uses a two-mode Bose-Einstein condensate (BEC) of $N$ atoms.…

Quantum Physics · Physics 2015-05-19 Alexandre B. Tacla , Sergio Boixo , Animesh Datta , Anil Shaji , Carlton M. Caves

We study the perfect Bose gas in random external potentials and show that there is generalized Bose-Einstein condensation in the random eigenstates if and only if the same occurs in the one-particle kinetic-energy eigenstates, which…

Mathematical Physics · Physics 2015-05-13 Thomas Jaeck , Joseph V. Pulé , Valentin Zagrebnov

We investigate a Bose-Einstein condensate (BEC) as a gravitational wave detector, and study its sensitivity by optimizing the properties of the condensate and the measurement duration. We show that detecting kilohertz gravitational waves is…

Quantum Physics · Physics 2019-07-31 Matthew P. G. Robbins , Niayesh Afshordi , Robert B. Mann

The final stage of Bose-Einstein condensation in a large volume occurs through coarsening--growth of individual correlated patches. We present analytical arguments and numerical evidence that in the momentum space this growth corresponds to…

High Energy Physics - Phenomenology · Physics 2009-11-07 S. Khlebnikov

We present a new method of calculating the distribution function and fluctuations for a Bose-Einstein condensate (BEC) of N interacting atoms. The present formulation combines our previous master equation and canonical ensemble…

Statistical Mechanics · Physics 2009-11-11 Anatoly A. Svidzinsky , Marlan O. Scully

We show that both single-component and two-component Bose-Einstein condensates' (BECs) ground states can be simulated by deep convolutional neural networks of the same structure. We trained the neural network via inputting the coupling…

Quantum Physics · Physics 2021-01-25 Xiao Liang , Sheng Liu , Yan Li , Yong-Sheng Zhang

Recent experiments have employed rapidly expanding toroidal Bose-Einstein condensates (BECs) to mimic the inflationary expansion in the early universe. One expected signature of the expansion in such experiments is spontaneous particle…

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

The critical properties displayed by an ideal 2D Bose gas trapped in a harmonic potential are determined and characterized in an exact numerical fashion. Beyond thermodynamics, addressed in terms of the global pressure and volume which are…

Quantum Gases · Physics 2023-08-10 M. I. Morales-Amador , V. Romero-Rochin , R. Paredes

We report on Bose-Einstein condensation (BEC) in a gas of strontium atoms, using laser cooling as the only cooling mechanism. The condensate is formed within a sample that is continuously Doppler cooled to below 1\muK on a narrow-linewidth…

Quantum Gases · Physics 2013-09-24 Simon Stellmer , Benjamin Pasquiou , Rudolf Grimm , Florian Schreck

We propose and experimentally demonstrate a new cooling mechanism leading to purification of a spinor Bose-Einstein Condensate (BEC). Our scheme starts with a BEC polarized in the lowest energy spin state. Spin excited states are thermally…

A Bose-Einstein condensation (BEC) has been observed in magnetic insulators in the last decade. The bosons that condensed are magnons, associated with an ordered magnetic phase induced by a magnetic field. We review the experiments in the…

Strongly Correlated Electrons · Physics 2012-06-04 Armando Paduan-Filho

Calculation of the entropy of an ideal Bose Einstein Condensate (BEC) in a three dimensional trap reveals unusual, previously unrecognized, features of the Canonical Ensemble. It is found that, for any temperature, the entropy of the Bose…

Quantum Gases · Physics 2018-01-10 Moochan B. Kim , Anatoly Svidzinsky , Girish S. Agarwal , Marlan O. Scully

We discuss the phenomenon of Bose-Einstein condensation under general external conditions using connections between partition sums and the heat-equation. Thermodynamical quantities like the critical temperature are given in terms of the…

Statistical Mechanics · Physics 2009-10-31 Klaus Kirsten , David J. Toms

Magnon Bose-Einstein Condensates (BECs) and supercurrents are coherent quantum phenomena, which appear on a macroscopic scale in parametrically populated solid state spinsystems. One of the most fascinating and attractive features of these…

A recently developed efficient recursive approach for analytically calculating the short-time evolution of the one-particle propagator to extremely high orders is applied here for numerically studying the thermodynamical and dynamical…

Quantum Gases · Physics 2010-03-10 Antun Balaz , Ivana Vidanovic , Aleksandar Bogojevic , Axel Pelster

For a system of identical Bose particles sitting on integer energy levels, we give sharp estimates for the convergence of the sequence of occupation numbers to the Bose-Einstein distribution and for the Bose condensation effect.

Probability · Mathematics 2008-12-31 V. P. Maslov , V. E. Nazaikinskii

The quantum limits of stochastic cooling of trapped atoms are studied. The energy subtraction due to the applied feedback is shown to contain an additional noise term due to atom-number fluctuations in the feedback region. This novel effect…

Quantum Physics · Physics 2007-05-23 D. Ivanov , S. Wallentowitz , I. A. Walmsley

This paper is concerned with the complex behavior arising in satisfiability problems. We present a new statistical physics-based characterization of the satisfiability problem. Specifically, we design an algorithm that is able to produce…

Data Structures and Algorithms · Computer Science 2013-04-04 Claudio Angione , Annalisa Occhipinti , Giovanni Stracquadanio , Giuseppe Nicosia