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Related papers: Leggett's bound for amorphous solids

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We study different solid phases of Helium-four, by means of Path Integral Monte Carlo simulations based on a recently developed "worm" algorithm. Our study includes simulations that start off from a high-T gas phase, which is then…

Statistical Mechanics · Physics 2009-11-11 M. Boninsegni , N. Prokof'ev , B. Svistunov

We revisited the phase diagram of the second layer of 4He on top of graphite using quantum Monte Carlo methods. Our aim was to explore the existence of the novel phases suggested recently in experimental works, and determine their…

Other Condensed Matter · Physics 2020-06-24 M. C. Gordillo , J. Boronat

By large-scale quantum Monte Carlo simulations we show that grain boundaries in Helium-4 crystals are generically superfluid at low temperature, with a transition temperature of the order of ~0.5K at the melting pressure; insulating grain…

Statistical Mechanics · Physics 2010-09-10 L. Pollet , M. Boninsegni , A. B. Kuklov , N. V. Prokof'ev , B. V. Svistunov , M. Troyer

We investigate the superfluid fraction of crystalline stationary states within the framework of mean-field Gross-Pitaevskii theory. Our primary focus is on a two-dimensional system with a non-local soft-core interaction, where the…

Quantum Gases · Physics 2023-08-29 P. Blair Blakie

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 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 use theory and simulations to investigate the existence of amorphous glassy states in ultrasoft colloids. We combine the hyper-netted chain approximation with mode-coupling theory to study the dynamic phase diagram of soft repulsive…

Soft Condensed Matter · Physics 2010-12-16 Ludovic Berthier , Angel J. Moreno , Grzegorz Szamel

Recent breakthrough experiments on dipolar condensates have reported the creation of supersolids, including two-dimensional arrays of quantum droplets. Droplet arrays are, however, not the only possible non-trivial density arrangement…

Quantum Gases · Physics 2022-12-14 Albert Gallemí , Luis Santos

In recent years, experimental data were published which point to the possibility of the existence of superfluidity in solid helium. To investigate this phenomenon theoretically we employ a hierarchy of equations for reduced density matrices…

Other Condensed Matter · Physics 2015-05-13 V. A. Golovko

We report torsional oscillator supersolid studies of highly disordered samples of solid $^4$He. In an attempt to approach the amorphous or glassy state of the solid, we prepare our samples by rapid freezing from the normal phase of liquid…

Other Condensed Matter · Physics 2009-11-13 Ann Sophie C. Rittner , John D. Reppy

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

The onset mechanism of superfluidity is examined by taking the case of the capillary flow of liquid helium 4. In the capillary flow, a substantial fall of the shear viscosity has been observed in the normal phase (lambda point<T<3.7K). In…

Superconductivity · Physics 2008-09-01 Shun-ichiro Koh

For solid 4He and solid p-H2, using the flow-energy-minimizing one-body phase function and exact T=0 K Monte Carlo calculations of the local density, we have calculated the phase function, the velocity profile and upper bounds for the…

Other Condensed Matter · Physics 2009-11-13 D. E. Galli , L. Reatto , W. M. Saslow

Recent experiments on the flow of helium-4 fluid through nanopores with tunable pore radius provide a platform for studying the quasi-one-dimensional (quasi-1D) superfluid behaviors. In the extreme 1D limit, the helium atoms are localized…

Mesoscale and Nanoscale Physics · Physics 2022-08-24 Wang Yang , Ian Affleck

We monitor the transformation of a liquid into an amorphous solid in simulations of a glass forming liquid by measuring the variation of a structural order parameter with either changing temperature or potential energy to establish the…

Soft Condensed Matter · Physics 2023-06-07 Gang Sun , Peter Harrowell

Although solid helium-4 (4He) may be a supersolid it also exhibits many phenomena unexpected in that context. We studied relaxation dynamics in the resonance frequency f(T) and dissipation D(T) of a torsional oscillator containing solid…

Other Condensed Matter · Physics 2009-11-13 B. Hunt , E. Pratt , V. Gadagkar , M. Yamashita , A. V. Balatsky , J. C. Davis

More than half a century ago Penrose asked: are the superfluid and solid state of matter mutually exclusive or do there exist "supersolid" materials where the atoms form a regular lattice and simultaneously flow without friction? Recent…

Statistical Mechanics · Physics 2010-09-10 L. Pollet , M. Boninsegni , A. B. Kuklov , N. V. Prokofev , B. V. Svistunov , M. Troyer

The persistent problem posed by the glass transition is to develop a general atomic level description of a solidification process that is not associated with any change in the symmetry of the atomic structure. The answer proposed in this…

Soft Condensed Matter · Physics 2022-07-20 Gang Sun , Peter Harrowell

We present a zero-temperature quantum Monte Carlo calculation of liquid $^4$He immersed in an array of confining potentials. These external potentials are centered in the lattice sites of a fcc solid geometry and, by modifying their well…

Other Condensed Matter · Physics 2009-11-11 C. Cazorla , J. Boronat

At zero temperature, a Galilean-invariant Bose fluid is expected to be fully superfluid. Here we investigate theoretically and experimentally the quenching of the superfluid density of a dilute Bose-Einstein condensate due to the breaking…

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