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The correlation function of the quantum fluctuations due to collective excitations is calculated and used to investigate the phase diffusion of a Bose-Einstein condensate close to zero temperature. It is shown that the phase diffusion time…

Soft Condensed Matter · Physics 2015-06-24 Hongwei Xiong , Shujuan Liu , Guoxiang Huang

We calculate certain features of Bose-Einstein condensation in the ideal gas by using recurrence relations for the partition function. The grand canonical ensemble gives inaccurate results for certain properties of the condensate that are…

Statistical Mechanics · Physics 2016-08-16 W. J. Mullin , J. P. Fernández

Statistical mechanics is one of the most comprehensive theories in physics. From a boiling pot of water to the complex dynamics of quantum many-body systems it provides a successful connection between the microscopic dynamics of atoms and…

Quantum Gases · Physics 2016-10-06 B. Rauer , T. Schweigler , T. Langen , J. Schmiedmayer

We present a novel experimental approach to Bose-Einstein condensation by increasing the particle number of the system at almost constant temperature. In particular the emergence of a new condensate is observed in multi-component F=1 spinor…

Soft Condensed Matter · Physics 2009-11-10 M. Erhard , H. Schmaljohann , J. Kronjäger , K. Bongs , K. Sengstock

We study the dynamics of a Bose-Einstein condensate in a one-dimensional optical lattice in the limit of weak atom-atom interactions, including an approximate model for quantum fluctuations. A pulsating dynamical instability in which atoms…

Other Condensed Matter · Physics 2009-04-17 Uttam Shrestha , Juha Javanainen , Janne Ruostekoski

We obtain the distribution of number of atoms in an interval (full counting statistics) of Lieb-Liniger model of interacting bosons in one dimension. Our results are valid in the weakly interacting regime in a parametrically large window of…

Quantum Gases · Physics 2019-04-03 Maksims Arzamasovs , Dimitri M. Gangardt

We study the thermal fluctuations of vortex positions in small vortex clusters in a harmonically trapped rotating Bose-Einstein condensate. It is shown that the order-disorder transition of two-shells clusters occurs via the decoupling of…

Statistical Mechanics · Physics 2009-11-11 W. V. Pogosov , K. Machida

A numerical experiment based on a particle number-conserving quantum field theory is performed for two initially independent Bose-Einstein condensates that are coherently coupled at two temperatures. The present model illustrates ab initio…

Quantum Gases · Physics 2024-08-31 Alexej Schelle

Grand-canonical fluctuations of Bose-Einstein condensates of light are accessible to state-of-the-art experiments [J. Schmitt et al., Phys. Rev. Lett. 112, 030401 (2014).]. We phenomenologically describe these fluctuations by using the…

Statistical Mechanics · Physics 2016-10-21 Christoph Weiss , Jacques Tempere

We consider the fluctuations in atom number that occur within finite-sized measurement cells in a trapped Bose-Einstein condensate (BEC). This approximates the fluctuation measurements made in current experiments with finite resolution in…

Quantum Gases · Physics 2014-01-17 R. N. Bisset , C. Ticknor , P. B. Blakie

Particle number fluctuations are studied in the ideal pion gas approaching Bose-Einstein condensation. Two different cases are considered: Bose condensation of pions at large charge densities $\rho_Q$ and Bose condensation at large total…

High Energy Physics - Phenomenology · Physics 2011-07-19 Viktor Begun , Mark Gorenstein

We present a theoretical treatment of coherent light scattering from an interacting 1D Bose gas at finite temperatures. We show how this can provide a nondestructive measurement of the atomic system states. The equilibrium states are…

Quantum Gases · Physics 2015-05-30 A. G. Sykes , R. J. Ballagh

Cold atomic gases provide a remarkable testbed to study the physics of interacting many-body quantum systems. They have started to play a major role as quantum simulators, given the high degree of control that is possible. A crucial element…

Experiments on Bose-Einstein condensates at finite temperature typically extract the system parameters, such as temperature, atom number, and condensed fraction from time-of-flight images taken after a free expansion time. This paper…

We extend our theory of Bloch oscillations of cold atoms inside an optical cavity [ Venkatesh et al. Phys. Rev. A 80 063834 (2009)] to include the effects of quantum noise arising from coupling to external modes. The noise acts as a form of…

Quantum Physics · Physics 2013-07-31 B. Prasanna Venkatesh , D. H. J. O'Dell

We experimentally study the relaxation dynamics of a coherently split one-dimensional Bose gas using matterwave interference. Measuring the full probability distributions of interference contrast reveals the prethermalization of the system…

Understanding relaxation processes is an important unsolved problem in many areas of physics. A key challenge in studying such non-equilibrium dynamics is the scarcity of experimental tools for characterizing their complex transient states.…

We experimentally study the dynamics of a degenerate one-dimensional Bose gas that is subject to a continuous outcoupling of atoms. Although standard evaporative cooling is rendered ineffective by the absence of thermalizing collisions in…

A hard-sphere (HS) Bose gas in a trap is investigated at finite temperatures in the weakly-interacting regime and its thermodynamic properties are evaluated using the static fluctuation approximation (SFA). The energies are calculated with…

Quantum Gases · Physics 2015-05-20 Saleem I. Qashou , Mohamed K. Al-Sugheir , Asaad R. Sakhel , Humam B. Ghassib

Atomic Bose-Einstein condensates (BECs) can be viewed as macroscopic objects where atoms form correlated atom clusters to all orders. Therefore, the presence of a BEC makes the direct use of the cluster-expansion approach --- lucrative e.g.…

Quantum Gases · Physics 2015-07-08 M. Kira