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We present a variational wavefunction which explains the behaviour of the supersolid state formed by hard-core bosons on the triangular lattice. The wavefunction is a linear superposition of {\em only and all} configurations minimising the…

Statistical Mechanics · Physics 2009-11-13 Arnab Sen , Prasenjit Dutt , Kedar Damle , R. Moessner

We determine the hydrodynamic modes of the superfluid analog of a smectic-A phase in liquid crystals, i.e., a state in which both gauge invariance and translational invariance along a single direction are spontaneously broken. Such a…

Quantum Gases · Physics 2021-04-07 Johannes Hofmann , Wilhelm Zwerger

We propose a scheme to dynamically create a supersolid state in an optical lattice, using an attractive mixture of mass-imbalanced bosons. Starting from a "molecular" quantum crystal, supersolidity is induced dynamically as an…

Quantum Gases · Physics 2009-07-22 Tassilo Keilmann , J. Ignacio Cirac , Tommaso Roscilde

A superfluid having atomic scale superflow of a hexagonal lattice of vortex and antivortex filaments, described by a single macroscopic wave function is presented as a supersolid. As superfluid \he4 is pressurized, at a first order…

Other Condensed Matter · Physics 2007-05-23 G. Baskaran

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

A many-body wavefuction is postulated, which is sufficiently general to describe superconducting pair-correlations, and/or spin-correlations, which can occur either as long-range order or as finite-range correlations. The proposed…

Condensed Matter · Physics 2007-05-23 D. van der Marel

Superfluidity is a fascinating phenomenon that, at the macroscopic scale, leads to dissipationless flow and the emergence of vortices. While these macroscopic manifestations of superfluidity are well described by theories that have their…

Quantum Gases · Physics 2014-06-18 Yangqian Yan , D. Blume

We study ultracold fermionic atoms trapped in an optical lattice with harmonic confinement by means of the dynamical mean-field approximation. It is demonstrated that a supersolid state, where an s-wave superfluid coexists with a…

Superconductivity · Physics 2008-06-25 Akihisa Koga , Takuji Higashiyama , Kensuke Inaba , Seiichiro Suga , Norio Kawakami

We systematically discuss candidate wave functions for the ground state of the bilayer \nu = 1 as the distance between the layers is varied. Those that describe increased intralayer correlations at finite distance show a departure from the…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 M. V. Milovanovic

Landau's excitation-based argument for superfluids -- that at temperature $T=0$ the normal fluid density $\rho_{n}$ is zero -- should also apply to supersolids. Further, for a total mass density $\rho$, Leggett argues that the superfluid…

Quantum Gases · Physics 2026-04-06 Wayne M. Saslow

In two dimensions a microscopic theory providing a basis for the naive analogy between a quantized vortex in a superfluid and an electron in a uniform magnetic field is presented. Following the variational approach developed by Peierls,…

Condensed Matter · Physics 2007-05-23 Jian-Ming Tang

In a recent study we have reported a new type of trial wave function symmetric under the exchange of particles and which is able to describe a supersolid phase. In this work, we use the diffusion Monte Carlo method and this model wave…

Other Condensed Matter · Physics 2015-05-28 C. Cazorla , G. E. Astrakharchik , J. Casulleras , J. Boronat

We calculate the overlap between two many-body wave functions for a superfluid film containing a vortex at shifted positions. Comparing the results to phenomenological theories, which treat vortices as point particles, we find that the…

Condensed Matter · Physics 2007-05-23 Q. NIu , P. Ao , D. J. Thouless

We calculate the overlap between two many-body wave functions for a superfluid film containing a vortex at shifted positions. Comparing the results to phenomenological theories, which treat vortices as point particles, we find that the…

Condensed Matter · Physics 2009-10-22 Q. Niu , P. Ao , D. J. Thouless

Superfluidity is a special state of matter exhibiting macroscopic quantum phenomena and acting like a fluid with zero viscosity. In such a state, superfluid vortices exist as phase singularities of the model equation with unique…

Fluid Dynamics · Physics 2017-10-10 Yulong Guo , Xiaopei Liu , Chi Xiong , Xuemiao Xu , Chi-Wing Fu

The idea that in dynamical wave function collapse models the wave function is superfluous is investigated. Evidence is presented for the conjecture that, in a model of a field theory on a 1+1 lightcone lattice, knowing the field…

Quantum Physics · Physics 2009-11-10 Fay Dowker , Isabelle Herbauts

The successful emulation of the Hubbard model in optical lattices has stimulated world wide efforts to extend their scope to also capture more complex, incompletely understood scenarios of many-body physics. Unfortunately, for bosons,…

Quantum Gases · Physics 2011-01-19 Georg Wirth , Matthias Ölschläger , Andreas Hemmerich

We study the ac electric potential induced by the electron sound wave (a perturbation of the electron distribution function propagating with the Fermi velocity) in single crystals of high purity gallium. The potential and the elastic…

Superconductivity · Physics 2015-06-03 Yu. A. Avramenko , E. V. Bezuglyi , N. G. Burma , V. D. Fil

In this paper we construct small amplitude periodic internal waves traveling at the boundary region between two rotational and homogeneous fluids with different densities. Within a period, the waves we obtain have the property that the…

Analysis of PDEs · Mathematics 2012-02-15 Anca-Voichita Matioc

We investigate the collective dynamics of the perfect cubic crystal by deriving from the hydrodynamic equations the time-dependent correlation and the spectral functions characterizing the fluctuations of mass and momentum densities. We…

Statistical Mechanics · Physics 2023-12-05 Joel Mabillard , Pierre Gaspard
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