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We investigate a Bose-Fermi mixture in a three-dimensional optical lattice, trapped in a harmonic potential. Using Generalized Dynamical Mean-Field theory, which treats the Bose-Bose and Bose-Fermi interaction in a fully non-perturbative…

Quantum Gases · Physics 2011-04-18 Michiel Snoek , Irakli Titvinidze , Immanuel Bloch , Walter Hofstetter

We discuss Bose-Einstein condensation in a trapped gas of bosonic particles interacting dominantly via dipole-dipole forces. We find that in this case the mean-field interparticle interaction and, hence, the stability diagram are governed…

Condensed Matter · Physics 2009-10-31 L. Santos , G. V. Shlyapnikov , P. Zoller , M. Lewenstein

We present a convenient technique describing the condensate in dynamical equilibrium with the thermal cloud, at temperatures close to the critical one. We show that the whole isolated system may be viewed as a single classical field…

Condensed Matter · Physics 2007-05-23 K. Goral , M. Gajda , K. Rzazewski

Theory for the Rabi and internal Josephson effects in an interacting Bose gas in the cold collision regime is presented. By using microscopic transport equation for the density matrix the problem is mapped onto a problem of precession of…

Atomic Physics · Physics 2008-04-12 M. O. Oktel , L. S. Levitov

We consider an interacting pion gas in the regime where thermal but not chemical equilibrium has been reached. Approximate particle number conservation is implemented by a nonvanishing pion chemical potential $\mu_\pi$ within a diagrammatic…

High Energy Physics - Phenomenology · Physics 2009-10-20 D. Fernandez-Fraile , A. Gomez Nicola

In this Note we investigate Bose-Einstein condensation in interacting quantum many-particle systems on graphs. We extend previous results obtained for particles on an interval and show that even arbitrarily small repulsive two-particle…

Mathematical Physics · Physics 2018-01-04 Jens Bolte , Joachim Kerner

We consider the spin-orbit coupled Bose gas with repulsive mean-field interparticle interactions. We analyze the phase diagram of the system varying the temperature $T>0$, the chemical potentials, as well as interparticle and spin-orbit…

Quantum Gases · Physics 2025-02-05 Pawel Jakubczyk , Marek Napiórkowski

We consider the homogeneous Bose gas in the three-dimensional unit torus, where $N$ particles interact via a two-body potential of the form $N^{-1} v(x)$. The system is studied at inverse temperatures of order $N^{-2/3}$, which corresponds…

Mathematical Physics · Physics 2025-07-29 Andreas Deuchert , Phan Thanh Nam , Marcin Napiorkowski

The condensate number distribution during the transition of a dilute, weakly interacting gas of N=200 bosonic atoms into a Bose-Einstein condensate is modeled within number conserving master equation theory of Bose-Einstein condensation.…

Quantum Physics · Physics 2012-12-27 Alexej Schelle

The dynamics of the composition of uniform Bose condensates involving two species capable of reciprocal interconversion is treated in terms of a collective quasi-spin model. This collective model quickly reduces to classical form towards…

Quantum Physics · Physics 2007-05-23 A. N. Salgueiro , M. C. Nemes , M. D. Sampaio , A. F. R. de Toledo Piza

Using a field-theoretic approach, we systematically generalize the usual semiclassical approximation for a harmonically trapped ideal Bose gas in such a way that its range of applicability is essentially extended. With this we can…

Statistical Mechanics · Physics 2009-11-13 Ben Klünder , Axel Pelster

One-dimensional Bose gases are considered, interacting either through the hard-core potentials or through the contact delta potentials. Interest in these gases gained momentum because of the recent experimental realization of…

Statistical Mechanics · Physics 2015-06-25 V. I. Yukalov , M. D. Girardeau

We perform high-precision measurements of the condensation temperature of a harmonically-trapped atomic Bose gas with widely-tuneable interactions. For weak interactions we observe a negative shift of the critical temperature in excellent…

Quantum Gases · Physics 2011-06-29 Robert P. Smith , Robert L. D. Campbell , Naaman Tammuz , Zoran Hadzibabic

We extend the Projected Gross Pitaevskii equation formalism of Davis et al. [Phys. Rev. Lett. \bf{87}, 160402 (2001)] to the experimentally relevant case of harmonic potentials. We outline a robust and accurate numerical scheme that can…

Other Condensed Matter · Physics 2015-06-24 P. Blair Blakie , Matthew J. Davis

In this paper, we present a theoretical study of a Bose-Einstein condensate of interacting bosons in a quartic trap in one, two, and three dimensions. Using Thomas-Fermi approximation, suitably complemented by numerical solutions of the…

Other Condensed Matter · Physics 2015-05-13 G. K. Chaudhary , Amit K Chattopadhyay , R. Ramakumar

Bosonic atoms confined in optical lattices are described by the Bose-Hubbard model and can exist in two different phases, Mott insulator or superfluid, depending on the strength of the system parameters. In the vicinity of the phase…

Quantum Gases · Physics 2020-07-30 Felipe Taha Sant'Ana

We analyze the scattering problem of identical bosonic particles confined on a spherical surface. At low scattering energies and for a radius much larger than the healing length, we express the contact interaction strength in terms of the…

Quantum Gases · Physics 2022-02-25 A. Tononi

Open quantum systems theory is central to describing the dynamics and equilibration of dilute-gas Bose-Einstein condensates (BECs). We present an analysis of the linearized stochastic projected Gross-Pitaevskii equation (SPGPE) describing…

Quantum Gases · Physics 2025-09-11 Nils A. Krause , Ashton S. Bradley

We apply the functional path-integral approach to analyze how the presence of a spin-orbit coupling (SOC) affects the basic properties of a BCS-type paired state in a two-component Bose gas. In addition to a mean-field theory that is based…

Quantum Gases · Physics 2020-01-09 M. Iskin

We experimentally study the energy-temperature relationship of a harmonically trapped Bose-Einstein condensate by transferring a known quantity of energy to the condensate and measuring the resulting temperature change. We consider two…

Quantum Gases · Physics 2022-02-09 S. K. Ruddell , D. H. White , A. Ullah , D. Baillie , M. D. Hoogerland