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We present results of calculations on Bose-Einstein condensed $^{87}$Rb atoms subjected to a moving standing-wave light-potential of the form $V_L(z,t) = V_0(t) \cos(q z-\omega t)$. We calculate the mean-field dynamics (the order paramter)…

Soft Condensed Matter · Physics 2009-11-07 Y. B. Band , M. Sokuler

Due to their remarkable properties, systems that exhibit self-organization of their components resulting from intrinsic microscopic activity have been extensively studied in the last two decades. In a generic class of active matter, the…

Statistical Mechanics · Physics 2019-07-24 Ramin Golestanian

Using the dynamical mean-field theory, we calculate the effective electron mass in the Hubbard model on a semi-infinite lattice. At the surface the effective mass is strongly enhanced. Near half-filling this gives rise to a…

Strongly Correlated Electrons · Physics 2009-10-31 M. Potthoff , W. Nolting

The piling up of a macroscopic fraction of noninteracting bosons in the lowest energy state of a system at very low temperatures is known as Bose-Einstein condensation. It took nearly 70 years to observe the condensate after their…

Statistical Mechanics · Physics 2022-03-15 Vishwa Mittar

A fundamental tenet of quantum mechanics is that measurements change a system's wavefunction to that most consistent with the measurement outcome, even if no observer is present. Weak measurements produce only limited information about the…

Quantum Gases · Physics 2023-04-13 Emine Altuntas , Ian B. Spielman

We study a dilute Bose gas of atoms whose scattering length a is large compared to the range of their interaction. We calculate the energy density of the homogeneous Bose-Einstein condensate to second order in the low-density expansion,…

Condensed Matter · Physics 2009-11-07 Eric Braaten , H. -W. Hammer , Thomas Mehen

We present an action that can be used to study variationally the collapse of Bose Einstein condensates. This action is real, even though it includes dissipative terms. It adopts long range interactions between the atoms, so that there is…

Quantum Gases · Physics 2020-11-11 Stavros Theodorakis , Stavros Athanasiou

The effective gravitational mass as well as the energy and momentum distributions of a radiating charged particle in Einstein's universe are evaluated. The Moller's energy-momentum complex is employed for this computation. The spacetime…

High Energy Physics - Theory · Physics 2008-11-26 Elias C. Vagenas

We discuss the Bloch-state solutions of the stationary Gross-Pitaevskii equation and of the Bogoliubov equations for a Bose-Einstein condensate in the presence of a one-dimensional optical lattice. The results for the compressibility,…

Condensed Matter · Physics 2007-05-23 Meret Kraemer , Chiara Menotti , Lev Pitaevskii , Sandro Stringari

Bose-Einstein condensation has been achieved in a magnetically trapped sample of 85Rb atoms. Long-lived condensates of up to 10^4 atoms have been produced by using a magnetic-field-induced Feshbach resonance to reverse the sign of the…

Condensed Matter · Physics 2009-10-31 S. L. Cornish , N. R. Claussen , J. L. Roberts , E. A. Cornell , C. E. Wieman

The pole of the two-particle T-matrix including the influence of the surrounding medium is analyzed for an interacting Bose gas. The phase diagram of the Bose -Einstein condensation (BEC) depending on the temperature, density, scattering…

Other Condensed Matter · Physics 2016-09-08 K. Morawetz M. Männel , M. Schreiber , P. Lipavský

When an impurity is immersed in a Bose-Einstein condensate, impurity-boson interactions are expected to dress the impurity into a quasiparticle, the Bose polaron. We superimpose an ultracold atomic gas of $^{87}$Rb with a much lower density…

We show that the free relativistic wave equation which describes the particle without or with rest mass has more than one part of energy spectrum. One part of energy spectrum is beginning with rest energy and it is not limited by above.…

Statistical Mechanics · Physics 2007-05-23 A. Borghardt , D. Karpenko

Conversion of an expanding Bose-Einstein condensate of Cs atoms to a molecular one with an efficiency of more than 30% was observed recently in experiments by M. Mark et al., Europhys. Lett. 69, 706 (2005). The theory presented here…

Other Condensed Matter · Physics 2007-05-23 V. A. Yurovsky , A. Ben-Reuven

In response to a recent manuscript [cond-mat/0609685] on the analysis of interference patterns produced by ultracold atoms released from an optical lattice, we point out that in the presence of a Bose-Einstein condensate the interference…

Statistical Mechanics · Physics 2007-05-23 Fabrice Gerbier , Simon Foelling , Artur Widera , Immanuel Bloch

A Bose-Einstein condensate may be used to make precise measurements of weak forces, utilizing the macroscopic occupation of a single quantum state. We present a scheme which uses a condensate in a double well potential to do this. The…

Condensed Matter · Physics 2009-10-31 J. F. Corney , G. J. Milburn , Weiping Zhang

We consider effective models of condensation where the condensation occurs as time t goes to infinity. We provide natural conditions under which the build-up of the condensate occurs on a spatial scale of 1/t and has the universal form of a…

Mathematical Physics · Physics 2018-07-04 Volker Betz , Steffen Dereich , Peter Mörters

The Bose-Einstein condensation of a dilute gas of rubidium-87 atoms was achieved by cooling a small number of atoms in a magnetic trap. The effective potential of the trap is to lowest order harmonic and under these conditions we estimate…

Condensed Matter · Physics 2007-05-23 H. Haugerud , F. Ravndal

We consider the problem of a single \down atom in the presence of a Fermi sea of \up atoms, in the vicinity of a Feshbach resonance. We calculate the chemical potential and the effective mass of the \down atom using two simple approaches: a…

Statistical Mechanics · Physics 2010-07-23 R. Combescot , A. Recati , C. Lobo , F. Chevy

Molecules are created from a Bose-Einstein condensate of atomic 87Rb using a Feshbach resonance. A Stern-Gerlach field is applied, in order to spatially separate the molecules from the remaining atoms. For detection, the molecules are…

Statistical Mechanics · Physics 2007-05-23 Stephan Dürr , Thomas Volz , Andreas Marte , Gerhard Rempe