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We study the out-of-equilibrium dynamics of a weakly interacting one-dimensional Bose gas in a box trap, subjected to a drive realized by a periodically oscillating linear potential. After a transient regime, the gas reaches a quasi-steady…

Quantum Gases · Physics 2026-03-27 Manon Ballu , Romain Dubessy , Aurélien Perrin , Hélène Perrin , Anna Minguzzi

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

We develop a systematic theory of multi-particle excitations in strongly interacting Fermi systems. Our work is the generalization of the time-honored work by Jackson, Feenberg, and Campbell for bosons, that provides, in its most advanced…

Other Condensed Matter · Physics 2017-07-21 H. M. Böhm , R. Holler , E. Krotscheck , M. Panholzer

Here we analyze the collective excitations as well as the expansion of a trapped Bose-Einstein condensate with a vortex line at its center. To this end, we propose a variational method where the variational parameters have to be carefully…

Quantum Gases · Physics 2014-02-11 R. P. Teles , V. S. Bagnato , F. E. A. dos Santos

We quantize the recent hydrodynamic analysis of Stringari for the low-energy collective modes of a trapped Bose gas at $T=0$. This is based on the time-dependent Gross-Pitaevskii equation, but omits the kinetic energy of the density…

Condensed Matter · Physics 2009-10-28 Wen-Chin Wu , A. Griffin

We study the equilibrium and non-equilibrium properties of strongly interacting bosons on a lattice in presence of a random bounded disorder potential. Using a Gutzwiller projected variational technique, we study the equilibrium phase…

Quantum Gases · Physics 2015-06-11 Chien-Hung Lin , Rajdeep Sensarma , K. Sengupta , S. Das Sarma

We study the temporal expansion of an ultracold Bose gas in two-dimensional, square optical lattices. The gas is described by the Bose-Hubbard model deep in the superfluid regime, with initially all bosons condensed in the central site of…

Quantum Gases · Physics 2021-03-17 Mauricio Trujillo-Martinez , Anna Posazhennikova , Johann Kroha

We have studied the collective excitation of Bose-Einstein condensate of short range weak interacting atoms with spin-orbit coupling (SOC) in two dimension in liquid phase. In our study, we have included Rashba, Dresselhaus SOC as well as…

Quantum Gases · Physics 2021-04-02 Saswata Sahu , Dwipesh Majumder

We study the superfluid response, the energetic and structural properties of a one-dimensional ultracold Bose gas in an optical lattice of arbitrary strength. We use the Bose-Fermi mapping in the limit of infinitely large repulsive…

We calculate the collective excitations of a dipolar Bose-Einstein condensate in the regime where it self-binds into droplets stabilized by quantum fluctuations. We show that the filament-shaped droplets act as a quasi-one-dimensional…

Quantum Gases · Physics 2017-12-25 D. Baillie , R. M. Wilson , P. B. Blakie

We investigate the superfluidity and the coherence in dipolar binary Bose mixtures using the hydrodynamic approach. Useful analytical formulas for the excitations spectrum, the correlation function, the static structure factor, and the…

Quantum Gases · Physics 2020-11-11 Abdelaali Boudjemaa

We use a coherent Bragg diffraction method to impart an external momentum to ultracold bosonic atoms trapped in a one-dimensional optical lattice. This method is based on the application of a single light pulse, with conditions where…

Quantum Gases · Physics 2015-05-27 Xinxing Liu , Xiaoji Zhou , Wei Zhang , Thibault Vogt , Bo Lu , Xuguang Yue , Xuzong Chen

The Lieb-Liniger equation of state accurately describes the zero-temperature universal properties of a dilute one-dimensional Bose gas in terms of the s-wave scattering length. For weakly-interacting bosons we derive non-universal…

Quantum Gases · Physics 2017-12-19 A. Cappellaro , L. Salasnich

We consider a generalized Lieb-Liniger model, describing a one-dimensional Bose gas with all its conservation laws appearing in the density matrix. This will be the case for the generalized Gibbs ensemble, or when the conserved charges are…

Statistical Mechanics · Physics 2013-05-23 Erik Eriksson , Vladimir Korepin

In this work, we investigate the ground state properties and collective excitations of a dipolar Bose-Einstein condensate that self-binds into a quantum droplet, stabilized by quantum fluctuations. We demonstrate that a sum rule approach…

Quantum Gases · Physics 2024-04-05 P. Blair Blakie

We consider a non-relativistic quantum gas of $N$ bosonic atoms confined to a box of volume $\Lambda$ in physical space. The atoms interact with each other through a pair potential whose strength is inversely proportional to the density,…

Mathematical Physics · Physics 2014-06-09 D. -A. Deckert , J. Fröhlich , P. Pickl , A. Pizzo

We study the interplay of quantum statistics, strong interactions and finite temperatures in the two-component (spinor) Bose gas with repulsive delta-function interactions in one dimension. Using the Thermodynamic Bethe Ansatz, we obtain…

Quantum Gases · Physics 2013-05-29 J. -S. Caux , A. Klauser , J. van den Brink

We review the recently introduced thermodynamic form factors for pairs of particle-hole excitations on finite-entropy states in the Lieb-Liniger model. We focus on the density operator and we show how the form factors can be used for…

Quantum Gases · Physics 2018-05-31 Jacopo De Nardis , Miłosz Panfil

We consider the integrable one-dimensional delta-function interacting Bose gas in a hard wall box which is exactly solved via the coordinate Bethe Ansatz. The ground state energy, including the surface energy, is derived from the…

Statistical Mechanics · Physics 2007-05-23 M. T. Batchelor , X. W. Guan , N. Oelkers , C. Lee

We investigate the spin-2 chain model corresponding to the small hopping limit of the spin-2 Bose-Hubbard model using density-matrix renormalization-group and time-evolution techniques. We calculate both static correlation functions and the…

Quantum Gases · Physics 2019-09-11 Florian Lange , Satoshi Ejima , Holger Fehske