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We examine the evolution of a universe comprising two interacting fluids, which interact via a term proportional to the product of their densities. In the case of two matter fluids it is shown that the ratio of the densities tends to a…

General Relativity and Quantum Cosmology · Physics 2011-05-13 Sean Z. W. Lip

We investigate different ground-state phases of attractive spin-imbalanced populations of fermions in 3-dimensional optical lattices. Detailed numerical calculations are performed using Hartree-Fock-Bogoliubov theory to determine the…

Quantum Gases · Physics 2015-05-20 Peter Rosenberg , Simone Chiesa , Shiwei Zhang

We consider crystal formation of particles with dipole-dipole interactions that are confined to move in a one-dimensional helical geometry with their dipole moments oriented along the symmetry axis of the confining helix. The stable…

Quantum Gases · Physics 2014-08-12 J. K. Pedersen , D. V. Fedorov , A. S. Jensen , N. T. Zinner

The ground states of the general three-state lattice-gas (equivalently, $S=1$ Ising) model with nearest-neighbor interactions on a square lattice are explored in the full, five-dimensional parameter space of three interaction constants and…

Statistical Mechanics · Physics 2019-03-27 Daniel Silva , Per Arne Rikvold

We have studied a two-dimensional triangular commensurate crystal of 4He with the exact T=0 K Path Integral Ground State (PIGS) Monte Carlo method. We have projected onto the true ground state both a Jastrow-Nosanow wave function, in which…

Other Condensed Matter · Physics 2008-02-01 E. Vitali , M. Rossi , F. Tramonto , D. E. Galli , L. Reatto

We study lattice QCD in the limit that the quark mass and chemical potential are simultaneously made large, resulting in a controllable density of quarks which do not move; this is similar in spirit to the quenched approximation for zero…

High Energy Physics - Lattice · Physics 2007-05-23 T. Blum , J. E. Hetrick , D. Toussaint

We use a variational procedure to study finite density QCD in an approximation in which the interaction between quarks is modelled by that induced by instantons. We find that uniform states with conventional chiral symmetry breaking have…

High Energy Physics - Phenomenology · Physics 2008-11-26 Krishna Rajagopal

We consider two-dimensional (2D) "artificial atoms" confined by an axially symmetric potential $V(\rho)$. Such configurations arise in circular quantum dots and other systems effectively restricted to a 2D layer. Using the semiclassical…

Mesoscale and Nanoscale Physics · Physics 2014-07-28 Yu. N. Ovchinnikov , Avik Halder , Vitaly V. Kresin

Coherent properties of a two dimensional spatially periodic structure - polaritonic crystal (PolC) formed by trapped two-level atoms in an optical cavity array interacting with a light field, are analyzed. By considering the wave function…

Mesoscale and Nanoscale Physics · Physics 2011-08-16 E. S. Sedov , A. P. Alodjants , S. M. Arakelian , Y. Y. Lin , R. -K. Lee

The ground state of a rotating Bose-Einstein condensate with attractive interaction in a quasi-one-dimensional torus is studied in terms of the ratio $\gamma$ of the mean-field interaction energy per particle to the single-particle…

Condensed Matter · Physics 2009-10-31 Masahito Ueda , Anthony J. Leggett

The major finding of this paper is that a one-dimensional spin-polarized gas comprised of an even number of fermionic atoms interacting via attractive p-wave interactions and confined to a mesoscopic ring has a degenerate pair of ground…

Other Condensed Matter · Physics 2009-11-13 M. D. Girardeau , E. M. Wright

The (three-dimensional) pyrochlore lattice antiferromagnet with Heisenberg spins of large spin length $S$ is a highly frustrated model with an macroscopic degeneracy of classical ground states. The zero-point energy of (harmonic order) spin…

Strongly Correlated Electrons · Physics 2009-11-11 Christopher L. Henley

We introduce a simple model of touching random surfaces, by adding a chemical potential rho for ``minimal necks'', and study this model numerically coupled to a Gaussian model in d-dimensions (for central charge c = d = 0, 1 and 2). For c…

High Energy Physics - Lattice · Physics 2009-10-30 G. Thorleifsson , B. Petersson

Whether Quantum Chromodynamics (QCD) exhibits a phase transition at finite temperature and density is an open question. It is important for hydrodynamic modeling of heavy ion collisions and neutron star mergers. Lattice QCD simulations have…

Nuclear Theory · Physics 2022-10-19 J. I. Kapusta , T. Welle

We analyse the ground-state quantum phase diagram of hardcore Bosons interacting with repulsive dipolar potentials. The bosons dynamics is described by the extended-Bose-Hubbard Hamiltonian on a two-dimensional lattice. The ground state…

Quantum Gases · Physics 2024-10-16 J. A. Koziol , G. Morigi , K. P. Schmidt

Hard core bosons in a large class of one or two dimensional flat band systems have an upper critical density, below which the ground states can be described completely. At the critical density, the ground states are Wigner crystals. If one…

Quantum Gases · Physics 2018-04-27 Andreas Mielke

We report experimental evidence of a Gardner-like transition from variable to persistent force contacts in a two-dimensional, bidisperse granular crystal by analyzing the variability of both particle positions and force networks formed…

Soft Condensed Matter · Physics 2022-11-30 Lars Kool , Patrick Charbonneau , Karen E. Daniels

We first consider an exactly solvable classical field model to understand the coherence properties and the density fluctuations of a one-dimensional (1D) weakly interacting degenerate Bose gas with repulsive interactions at temperatures…

Other Condensed Matter · Physics 2016-04-19 Yvan Castin

A periodic lattice in Euclidean 3-space is the infinite set of all integer linear combinations of basis vectors. Any lattice can be generated by infinitely many different bases. This ambiguity was only partially resolved, but standard…

Metric Geometry · Mathematics 2022-01-26 Vitaliy Kurlin

We numerically investigate the quantum crystallographic phases of a Rydberg-dressed Bose gas loaded on a square lattice by using the mean-field Gross--Pitaevskii model. For a relatively weak lattice confinement, the phases of ground state…

Quantum Gases · Physics 2017-02-01 Che-hsiu Hsueh , Wen-Chin Wu , Makoto Tsubota
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