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We have analytically explored the quantum phenomenon of particle scattering by harmonically trapped Bose and Fermi gases with the short ranged (Fermi-Huang $\delta^3_p$ [1]) interactions among the incident particle and the scatterers. We…

Quantum Physics · Physics 2018-03-20 Ankita Bhattacharya , Samir Das , Shyamal Biswas

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…

Supersolidity - a coexistence of superfluidity and crystalline or amorphous density variations - has been vividly debated ever since its conjecture. While the initial focus was on helium-4, recent experiments uncovered supersolidity in…

Quantum Gases · Physics 2020-10-14 Rashi Sachdeva , Mikael Nilsson Tengstrand , Stephanie M. Reimann

The energy and structure of a dilute hard-disks Bose gas are studied in the framework of a variational many-body approach based on a Jastrow correlated ground state wave function. The asymptotic behaviors of the radial distribution function…

Statistical Mechanics · Physics 2009-11-10 F. Mazzanti , A. Polls , A. Fabrocini

We consider an interacting, dilute Bose gas trapped in a harmonic potential at a positive temperature. The system is analyzed in a combination of a thermodynamic and a Gross-Pitaevskii (GP) limit where the trap frequency $\omega$, the…

Mathematical Physics · Physics 2019-08-27 Andreas Deuchert , Robert Seiringer , Jakob Yngvason

Motivated by recent experiments, we calculate particle emission from a Bose-Einstein condensate trapped in a single deep well of a one-dimensional lattice when the interaction strength is modulated. In addition to pair emission, which has…

Quantum Gases · Physics 2021-09-08 L. Q. Lai , Y. B. Yu , Erich J. Mueller

The occurrence of phase fluctuations due to thermal excitations in Bose-Einstein condensates (BECs) is studied for a variety of temperatures and trap geometries. We observe the statistical nature of the appearence of phase fluctuations and…

We analyze the macroscopic dynamics of a Bose gas in a harmonic trap with a superimposed two-dimensional optical lattice, assuming a weak coupling between different lattice sites. We consider the situation in which the local chemical…

Condensed Matter · Physics 2009-11-10 P. Pedri , L. Santos

A lower bound is derived on the free energy (per unit volume) of a homogeneous Bose gas at density $\rho$ and temperature $T$. In the dilute regime, i.e., when $a^3\rho \ll 1$, where $a$ denotes the scattering length of the pair-interaction…

Mathematical Physics · Physics 2015-06-26 Robert Seiringer

Our recent measurements on the expansion of a chromium dipolar condensate after release from an optical trapping potential are in good agreement with an exact solution of the hydrodynamic equations for dipolar Bose gases. We report here the…

Other Condensed Matter · Physics 2009-11-11 S. Giovanazzi , P. Pedri , L. Santos , A. Griesmaier , M. Fattori , T. Koch , J. Stuhler , T. Pfau

We study a two component Bose-Einstein condensate in the presence of an inhomogeneous artificial gauge field. In response to this field, the condensate forms a localised vortex lattice structure that leads to a non-trivial symmetry breaking…

Quantum Gases · Physics 2020-11-18 S. Sahar S. Hejazi , Juan Polo , Rashi Sachdeva , Thomas Busch

A recent paper of Tanatar and Erkan [Phys. Rev. A 62, 053601 (2000)] discusses a density functional approach to the impenetrable point Bose gas in one dimension and an equation for the order parameter of the system, due originally to…

Soft Condensed Matter · Physics 2007-05-23 M. D. Girardeau , E. M. Wright

We study the ground state of a system of Bose hard-spheres trapped in an isotropic harmonic potential to investigate the effect of the interatomic correlations and the accuracy of the Gross-Pitaevskii equation. We compare a local density…

Condensed Matter · Physics 2009-10-31 A. Fabrocini , A. Polls

A time-dependent method for calculating the collective excitation frequencies and densities of a trapped, inhomogeneous Bose-Einstein condensate with circulation is presented. The results are compared with time-independent solutions of the…

Statistical Mechanics · Physics 2009-11-07 Dermot McPeake , Halvor Moll Nilsen , J. F. McCann

Recent experiments on ultracold Bose gases in two dimensions have provided evidence for the existence of the Berezinskii-Kosterlitz-Thouless (BKT) phase via analysis of the interference between two independent systems. In this work we study…

Quantum Gases · Physics 2010-11-11 Christopher J. Foster , P. Blair Blakie , Matthew J. Davis

Recent experimental and theoretical work has indicated conditions in which a trapped, low-density Bose gas ought to behave like the 1D delta-function Bose gas solved by Lieb and Liniger. Up to now the theoretical arguments have been based…

Statistical Mechanics · Physics 2016-08-31 Elliott H. Lieb , Robert Seiringer , Jakob Yngvason

We report experimental results on the dynamics and phase evolution of Bose-Einstein condensates in 1D optical lattices. The dynamical behaviour is studied by adiabatically loading the condensate into the lattice and subsequently switching…

Condensed Matter · Physics 2007-05-23 O. Morsch , M. Cristiani , J. H. Müller , D. Ciampini , E. Arimondo

A method is presented that is able to predict the probability of outcomes of snapshot measurements, such as the images of the instantaneous particle density distribution in a quantum many-body system. It is shown that a gauge-like…

Quantum Physics · Physics 2008-09-05 A. L. Shelankov , J. Rammer

We consider a strongly interacting one-dimensional (1D) Bose-Fermi mixture confined in a hard wall trap or a harmonic oscillator trap with a tunable $\delta$-function barrier at the trap center. The mixture consists of 1D Bose gas with…

Quantum Gases · Physics 2010-07-16 Xiaolong Lü , Xiangguo Yin , Yunbo Zhang

A dilute bose gas in a quasi two-dimensional harmonic trap and interacting with a repulsive two-body zero-range potential of fixed coupling constant is considered. Using the Thomas-Fermi method, it is shown to remain in the same uncondensed…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 R. K. Bhaduri , S. M. Reimann , S. Viefers , A. Ghose Choudhury , M. K. Srivastava
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