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In this paper, we present a systematic study on the ground state computation of quantum droplets in homonuclear Bose-Bose mixtures, governed by the extended Gross-Pitaevskii equations (eGPEs) with Lee-Huang-Yang (LHY) corrections. This…

Quantum Gases · Physics 2026-04-02 Wei Liu , Limin Xu

We investigate the influence of quantum fluctuations upon dipolar Bose gases by means of the Bogoliubov-de Gennes theory. Thereby, we make use of the local density approximation to evaluate the dipolar exchange interaction between the…

Atomic Physics · Physics 2011-10-27 Aristeu R. P. Lima , Axel Pelster

While binary atomic Bose-Einstein condensates are typically prone to collapse under strong interspecies attraction, it has been shown that higher-order fluctuation corrections, known as Lee-Huang-Yang corrections, can stabilize the mixture.…

Quantum Gases · Physics 2025-08-25 Wen-Bin He , Su Yi , Thomas Busch

I show that the dynamics of the weakly interacting bose gas can be described by a modified time dependent Bogoliubov theory. The novelty of the approach is to include decoherence steps that gradually transform the entanglement entropy of…

Quantum Gases · Physics 2023-03-07 Michiel Wouters

We have investigated self-bound binary ultra dilute bosonic mixtures at zero temperature within Density Functional Theory using a Local Density Approximation. We provide the explicit expression of the Lee-Huang-Yang correction in the…

Quantum Gases · Physics 2018-11-28 Francesco Ancilotto , Manuel Barranco , Montserrat Guilleumas , Marti Pi

At zero temperature, homogeneous interacting Bose-condensed fluids are entirely superfluid, with remarkable transport properties. A non-superfluid, normal component is induced by finite temperatures and spatial inhomogeneity, the combined…

Quantum Gases · Physics 2026-02-26 Cord A. Müller

We use exact Quantum Monte Carlo techniques to study the properties of quantum droplets in two-component bosonic mixtures with contact interactions in one spatial dimension. We systematically study the surface tension, the density profile…

Quantum Gases · Physics 2020-08-26 Luca Parisi , Stefano Giorgini

We consider the Bogoliubov approximation for the many-body quantum dynamics of weakly interacting Bose gases and establish a uniform-in-time validity of the Bogoliubov theory. The proof relies on a detailed analysis of the dispersive…

Mathematical Physics · Physics 2026-02-06 Phan Thành Nam , Simone Rademacher , Avy Soffer

In a binary quantum droplet, the interspecies attraction dominates over the intraspecies repulsions and the mean-field energy is unstable. The mechanical stability is restored by the repulsive Lee-Huang-Yang (LHY) energy [1]. In the…

Quantum Gases · Physics 2022-06-01 Yun-Cheng Xiong , Lan Yin

We consider the time evolution of the renormalized Nelson model, which describes $N$ bosons linearly coupled to a quantized scalar field, in the mean-field limit of many particles $N\gg 1$ with coupling constant proportional to $N^{-1/2}$.…

Mathematical Physics · Physics 2023-05-12 Marco Falconi , Jonas Lampart , Nikolai Leopold , David Mitrouskas

We consider Bose-Einstein condensation in flat-band models from a real-space perspective. Using a basis of compact localized states, we reformulate the minimization of the mean-field energy as a Euclidian geometry problem. Within Bogoliubov…

Quantum Gases · Physics 2026-03-11 Kukka-Emilia Huhtinen

Quantum Bose-Bose mixtures with strong attraction can form self-bound, liquid-like droplets stabilized by quantum fluctuations. Despite equilibrium densities much lower than those of classical liquids, these droplets exhibit finite surface…

Quantum Gases · Physics 2025-07-16 Francesco Ancilotto , Michele Modugno , Chiara Fort

A method is proposed for a self-consistent evaluation of the coupling constant in the Gross-Pitaevskii equation without involving a pseudopotential replacement. A renormalization of the coupling constant occurs due to medium effects and the…

Statistical Mechanics · Physics 2007-05-23 A. Yu. Cherny , J. Brand

Quantum droplets are small clusters of atoms self-bound by the balance of attractive and repulsive forces. Here we report on the observation of a novel type of droplets, solely stabilized by contact interactions in a mixture of two…

Quantum Gases · Physics 2018-01-24 C. R. Cabrera , L. Tanzi , J. Sanz , B. Naylor , P. Thomas , P. Cheiney , L. Tarruell

The properties of the superfluid phase of ultra cold bosonic atoms loaded in a circular array are investigated in the framework of the Bose-Hubbard model and the Bogoliubov theory. We derive and solve the Gross-Pitaevskii equation of the…

Quantum Gases · Physics 2009-09-07 E. T. D. Matsushita , E. J. V. de Passos

Using a non-perturbative renormalization-group technique, we compute the momentum and frequency dependence of the anomalous self-energy and the one-particle spectral function of two-dimensional interacting bosons at zero temperature. Below…

Other Condensed Matter · Physics 2009-05-22 N. Dupuis

We consider theoretically the problem of an artificial gauge potential applied to a cold atomic system of interacting neutral bosons in a tight-binding optical lattice. Using the Bose-Hubbard model, we show that an effective magnetic field…

Quantum Gases · Physics 2011-01-26 Stephen Powell , Ryan Barnett , Rajdeep Sensarma , Sankar Das Sarma

Multicomponent quantum gases are ideal platforms to study fundamental phenomena arising from the mutual interaction between different constituents. Particularly, due to the repulsive interactions between two species, the system may exhibit…

Recent observations of droplets in dipolar and binary Bose-Einstein condensate (BEC) motivates us to study the theory of droplet formation in detail. Precisely, we are interested in investigating the possibility of droplet formation in a…

Quantum Gases · Physics 2021-01-26 Argha Debnath , Ayan Khan

We investigate the effects of quantum correlations on dipolar quantum droplets. To this end,we derive self-consistent time-dependent Hartree-Fock-Bogoliubov equations that fairly describe the dynamics of the order parameter, the normal, and…

Quantum Gases · Physics 2020-08-26 Abdelaali Boudjemaa , Nadia Guebli