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The superfluid fraction $f$ of a quantum fluid is defined in terms of the response of the system to a weak and constant drag. Notably, Leggett long ago derived two simple expressions providing a rigorous upper bound and a heuristic lower…

Quantum Gases · Physics 2025-01-16 Daniel Pérez-Cruz , Grigori E. Astrakharchik , Pietro Massignan

We investigate the crystalline stationary states of a dipolar Bose-Einstein condensate in a planar trapping geometry. Our focus is on the ground state phase diagram in the thermodynamic limit, where triangular, honeycomb and stripe phases…

Quantum Gases · Physics 2023-12-04 B. T. E. Ripley , D. Baillie , P. B. Blakie

A density-based superfluid bound called Leggett's bound has been proved to be a good estimator of the superfluid fraction for cold atomic gases in the mean-field regime. Here, we investigate the accuracy of such bound in the strongly…

Quantum Gases · Physics 2025-12-17 Lorenzo Pizzino , Haocong Pan , Thierry Giamarchi , Hepeng Yao

We investigate the constraints on the superfluid fraction of an amorphous solid following from an upper bound derived by Leggett. In order to accomplish this, we use as input density profiles generated for amorphous solids in a variety of…

Disordered Systems and Neural Networks · Physics 2011-04-01 Giulio Biroli , Bryan Clark , Laura Foini , Francesco Zamponi

We calculate the superfluid fraction of an interacting Fermi gas, in the presence of a one-dimensional periodic potential of strength $V_0$ and wave-vector $q$. Special focus is given to the unitary Fermi gas, characterized by the divergent…

Quantum Gases · Physics 2025-07-18 Giuliano Orso , Sandro Stringari

We report a novel algorithm of constructing linear and nonlinear potentials in the two-dimensional Gross-Pitaevskii equation subject to given boundary conditions, which allow for exact analytic solutions. The obtained solutions represent…

Exactly Solvable and Integrable Systems · Physics 2015-06-03 Zhenya Yan , V. V. Konotop , A. V. Yulin , W. M. Liu

The properties of a supersolid state (SS) in quasi-one-dimensional dipolar Bose-Einstein condensate is studied, considering two possible mechanisms of realization - due to repulsive three-body atomic interactions and quantum fluctuations in…

Quantum Gases · Physics 2021-07-23 B. Kh. Turmanov , B. B. Baizakov , F. Kh. Abdullaev , M. Salerno

We examine the superfluid and collapse instabilities of a quasi two-dimensional gas of dipolar fermions aligned by an orientable external field. It is shown that the interplay between the anisotropy of the dipolar interaction, the geometry…

Other Condensed Matter · Physics 2008-12-11 G. M. Bruun , E. Taylor

We study the equilibrium properties of the one-dimensional disordered Bose-Hubbard model by means of a gauge-adaptive tree tensor network variational method suitable for systems with periodic boundary conditions. We compute the superfluid…

Disordered Systems and Neural Networks · Physics 2016-01-27 Matthias Gerster , Matteo Rizzi , Ferdinand Tschirsich , Pietro Silvi , Rosario Fazio , Simone Montangero

We propose a dynamical protocol to generate supersolids in dipolar quantum gases by sweeping a repulsive Gaussian barrier through an incoherent quasi-one-dimensional droplet array. Supersolidity is inferred by monitoring the ensuing…

Quantum Gases · Physics 2026-04-01 E. L. Brakensiek , G. A. Bougas , S. I. Mistakidis

We review the main properties of a supersolid. We describe first the macroscopic equation that satisfies a supersolid based on general arguments and symmetries and show that such solids might exhibit simultaneously or independently both…

Quantum Gases · Physics 2011-10-25 Gustavo During , Christophe Josserand , Yves Pomeau , Sergio Rica

We have studied the phase diagram of a quasi-two-dimensional interacting Bose gas at zero temperature in the presence of random potential created by laser speckles. The superfluid fraction and the fraction of particles with zero momentum…

Quantum Gases · Physics 2014-04-02 G. E. Astrakharchik , K. V. Krutitsky , P. Navez

We present a kinetic description of superfluid currents in ring-shaped Bose-Einstein condensates based on the Wigner phase-space formalism. Starting from the Gross-Pitaevskii equation in a toroidal geometry, we derive a Vlasov-type equation…

Quantum Gases · Physics 2026-04-15 M. O. C. Pires

We study the ground state phase diagram of the hard-core extended boson Hubbard model on the square lattice with both nearest- (nn) and next-nearest-neighbor (nnn) hopping and repulsion, using Gutzwiller mean field theory and quantum Monte…

Strongly Correlated Electrons · Physics 2008-02-01 Yu-Chun Chen , Roger G. Melko , Stefan Wessel , Ying-Jer Kao

Dipolar condensates have recently been coaxed to form the long-sought supersolid phase. While one-dimensional supersolids may be prepared by triggering a roton instability, we find that such a procedure in two dimensions (2D) leads to a…

We construct a Ginsburg Landau (GL) theory to study the phases of liquid, solid, superfluid, especially a possible supersolid and phase transitions among these phases in a unified framework. In this GL, we put the two competing orders…

Strongly Correlated Electrons · Physics 2010-06-10 Jinwu Ye

We develop a linear response theory to provide a unified description of two recent spectroscopy protocols for probing one-dimensional supersolid states realized in cold-atom systems. Both protocols involve applying a periodic optical…

Quantum Gases · Physics 2025-05-09 L. M. Platt , D. Baillie , P. B. Blakie

Within mean field Gross-Pitaevskii framework, ultra cold atomic condensates with long range interaction is predicted to have a supersolid like ground state beyond a critical interaction strength. Such mean field supersolid like ground state…

Quantum Gases · Physics 2015-04-17 Rashi Sachdeva , Sankalpa Ghosh

A key manifestation of superfluidity in liquids and gases is a reduction of the moment of inertia under slow rotations. Non-classical rotational effects have been searched for a long time also for the elusive supersolid phase of matter, in…

Quantum Gases · Physics 2021-03-15 L. Tanzi , J. G. Maloberti , G. Biagioni , A. Fioretti , C. Gabbanini , G. Modugno

We theoretically investigate superfluid properties of a one-dimensional annular superfluid with a boost. We derive the formula of the superfluid fraction in the one-dimensional superfluid, which was originally derived by Leggett in the…

Quantum Gases · Physics 2022-03-29 Koichiro Furutani , Luca Salasnich
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