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We study the integrable model of one-dimensional bosons with contact repulsion. In the limit of weak interaction, we use the microscopic hydrodynamic theory to obtain the excitation spectrum. The statistics of quasiparticles changes with…

Quantum Gases · Physics 2014-07-04 Zoran Ristivojevic

The occurrence of a molecular Bose-Einstein condensate is studied for an atomic system near a zero energy resonance of the binary scattering process, with a large and positive scattering length. The interaction potential is modeled by a…

Statistical Mechanics · Physics 2007-05-23 L. Pricoupenko

Bosonic atoms confined in optical lattices can exist in two different phases, Mott-insulator and superfluid, depending on the strength of the system parameters, such as the on-site interaction between particles and the hopping parameter.…

Systems consisting of cold interacting bosons show interesting collective phenomena such as Bose-Einstein condensation or superfluidity and are currently studied in condensed matter and atomic physics. Of particular interest are nonideal…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 M. Heimsoth , M. Bonitz

The large-distance asymptotic behavior of the field-field correlators has been computed for one-dimensional impenetrable anyons at finite temperatures. The asymptotic behavior agrees with the predictions of conformal field theory at low…

Statistical Mechanics · Physics 2015-05-13 Ovidiu I. Patu , Vladimir E. Korepin , Dmitri V. Averin

We obtain the superfluid hydrodynamic equations of a multi-component Bose gas with short-ranged interactions at zero temperature under the local equilibrium assumption and show that the quantum pressure is generally present in the…

Quantum Gases · Physics 2023-06-02 F. Zhang , L. Yin

Using the Hartree-Fock-Bogoliubov factorization of the density matrix and the Born-Oppenheimer approximation we show that the motion of the condensate satisfies a nonlinear Schr\"odinger equation in the zero temperature limit. The Galilean…

Condensed Matter · Physics 2015-06-25 Ping Ao , David J. Thouless , X. -M. Zhu

In this letter we consider spinless bosons in a Kagome lattice with nearest-neighbor hopping and on-site interaction, and the sign of hopping is inverted by insetting a {\pi} flux in each triangle of Kagome lattice so that the lowest single…

Quantum Gases · Physics 2013-03-13 Yi-Zhuang You , Zhu Chen , Xiao-Qi Sun , Hui Zhai

Cold atom experiments show that a mobile impurity particle immersed in a Bose-Einstein condensate forms a well-defined quasiparticle (Bose polaron) for weak to moderate impurity-boson interaction strengths, whereas a significant line…

Quantum Gases · Physics 2026-04-06 Ragheed Alhyder , Georg M. Bruun , Thomas Pohl , Mikhail Lemeshko , Artem G. Volosniev

A one-dimensional Bose-Einstein condensate may experience nonlinear periodic modulations known as "cnoidal waves". We argue that such structures represent promising candidates for the study of supersolidity-related phenomena in a…

Quantum Gases · Physics 2021-02-17 Giovanni I. Martone , Alessio Recati , Nicolas Pavloff

We discuss the linear response of the Bogolyubov theory of a weakly interacting Bose gas below the critical temperature. The specific aspects, due to induced perturbation terms in the self-consistent treatment are discussed in detail. We…

Statistical Mechanics · Physics 2007-05-23 L. Banyai , M. A. Bundaru , P. Gartner

Ultracold atoms in optical lattices undergo a quantum phase transition from a superfluid to a Mott insulator as the lattice potential depth is increased. We describe an approximate theory of interacting bosons in optical lattices which…

Quantum Gases · Physics 2011-09-23 Dagim Tilahun , R. A. Duine , A. H. MacDonald

We examine bosons hopping on a one-dimensional lattice in the presence of a random potential at zero temperature. Bogoliubov excitations of the Bose-Einstein condensate formed under such conditions are localized, with the localization…

Disordered Systems and Neural Networks · Physics 2008-11-14 V. Gurarie , G. Refael , J. T. Chalker

We generalize the Beliaev-Popov diagrammatic technique for the problem of interacting dilute Bose gas with weak disorder. Averaging over disorder is implemented by the replica method. Low energy asymptotic form of the Green function…

Disordered Systems and Neural Networks · Physics 2009-11-07 A. V. Lopatin , V. M. Vinokur

We have investigated the correlation functions of interacting bosons at the generic superfluid-insulator transition, a prototypical quantum phase transition, in two dimensions in the spherical limit. Unexpectedly the spatial correlation…

Strongly Correlated Electrons · Physics 2007-05-23 Min-Chul Cha

We employ the functional renormalization group to study dynamical properties of the two-dimensional Bose gas. Our approach is free of infrared divergences, which plague the usual diagrammatic approaches, and is consistent with the exact…

Other Condensed Matter · Physics 2011-12-05 Andreas Sinner , Nils Hasselmann , Peter Kopietz

We present a microscopic theory of heat and particle transport of an interacting, low temperature Bose-Einstein condensate in a quantum point contact. We show that, in contrast to charged, fermionic superconductors, bosonic systems feature…

Quantum Gases · Physics 2020-06-05 Shun Uchino , Jean-Philippe Brantut

We investigate the behavior of the anomalous correlation function in two dimensional Bose gas. In the local case, we find that this quantity has a finite value in the limit of weak interactions at zero temperature. The effects of the…

Quantum Gases · Physics 2012-12-07 Abdelâali Boudjemâa

Interactions of ultracold atoms with Rashba spin-orbit coupling, currently being studied with simulated (artificial) gauge fields, have nontrivial ultraviolet and infrared behavior. Examining the ultraviolet structure of the Bethe-Salpeter…

Quantum Gases · Physics 2011-10-14 Tomoki Ozawa , Gordon Baym

The superfluid fraction of ideal and interacting inhomogeneous Bose gases with varying asymmetry is investigated at finite temperature using well-known properties of the harmonic oscillator as well as the essentially exact microscopic path…

Other Condensed Matter · Physics 2007-05-23 K. Nho , D. Blume