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The universal behavior of a three-boson system close to the unitary limit is encoded in a simple dependence of many observables in terms of few parameters. For example the product of the three-body parameter $\kappa_*$ and the two-body…

Quantum Gases · Physics 2017-02-22 A. Kievsky , M. Viviani , R. Álvarez-Rodrí guez , M. Gattobigio , A. Deltuva

We investigate the finite-temperature phase diagram of polar molecules confined in a quasi-two-dimensional geometry by a harmonic potential along the polarization axis. We employ Quantum Monte Carlo simulations to explore the strongly…

Quantum Gases · Physics 2026-05-19 Vinicius Zampronio , Matteo Ciardi , Fabio Cinti

The two-body t-matrix is calculated directly as function of two vector momenta for different Malfliet-Tjon type potentials. At a few hundred MeV projectile energy the total amplitude is quite a smooth function showing only a strong peak in…

Nuclear Theory · Physics 2019-08-17 Ch. Elster , J. H. Thomas , W. Gloeckle

The scaling form of the free-energy near a critical point allows for the definition of various thermodynamical amplitudes and the determination of their dependence on the microscopic non-universal scales. Universal quantities can be…

Statistical Mechanics · Physics 2009-10-31 D. Fioravanti , G. Mussardo , P. Simon

Dimensionality plays an essential role in determining the nature and properties of a physical system. For quantum systems the impact of interactions and fluctuations is enhanced in lower dimensions, leading to a great diversity of genuine…

Diffusion of electrons in a two-dimensional system with time-dependent random potentials is investigated numerically. In the absence of spin-orbit scattering, the conductivity shows universal weak localization correction. In the presence of…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Takeshi Nakanishi , Tomi Ohtsuki

We consider a ring-shaped triple-well potential with few polar bosons with in-plane dipole orientation. By diagonalizing the extended Bose-Hubbard Hamiltonian, we investigate the ground state properties of the system as we rotate the dipole…

Dynamical universality is the observation that the dynamical properties of different systems might exhibit universal behavior that are independent of the system details. In this paper, we study the long-time dynamics of an one-dimensional…

Quantum Gases · Physics 2020-04-08 Jie Ren , Qiaoyi Li , Wei Li , Zi Cai , Xiaoqun Wang

Based on a microscopic model, we use a functional integral approach to evaluate the quantum interaction energy between two neutral atoms. Each atom is coupled to the electromagnetic (EM) field via a dipole term, generated by an electron…

Quantum Physics · Physics 2023-07-19 C. D. Fosco , G. Hansen

We describe the properties of a pair of ultracold bosonic atoms in a one-dimensional harmonic trapping potential with a tunable zero-ranged barrier at the trap centre. The full characterisation of the ground state is done by calculating the…

Quantum Physics · Physics 2009-11-13 D. S. Murphy , J. F. McCann , J. Goold , Th. Busch

We study thermodynamics properties of a one dimensional gas of hard elongated particles. The particle centers are restricted to a line, while they can rotate in two-dimensional space. Correlations between orientations of the objects are…

Statistical Mechanics · Physics 2009-10-27 Yacov Kantor , Mehran Kardar

A variational model of pressure-dependent plasticity employing a time-incremental setting is introduced. A novel formulation of the dissipation potential allows one to construct the condensed energy in a variationally consistent manner. For…

Analysis of PDEs · Mathematics 2023-05-31 Florian Behr , Georg Dolzmann , Klaus Hackl , Ghina Jezdan

We consider the N-body problem in a layered geometry containing cold polar molecules with dipole moments that are polarized perpendicular to the layers. A harmonic approximation is used to simplify the hamiltonian and bound state properties…

Quantum Gases · Physics 2012-04-02 J. R. Armstrong , N. T. Zinner , D. V. Fedorov , A. S. Jensen

We study the scaling behavior of the entanglement entropy of two dimensional conformal quantum critical systems, i.e. systems with scale invariant wave functions. They include two-dimensional generalized quantum dimer models on bipartite…

Statistical Mechanics · Physics 2009-03-28 Benjamin Hsu , Michael Mulligan , Eduardo Fradkin , Eun-Ah Kim

Quantum gases of ultracold polar molecules have novel properties because of the strong dipolar forces between molecules. Current experiments shield the molecules from destructive collisions by engineering long-range repulsive interactions…

Quantum Gases · Physics 2025-09-26 Bijit Mukherjee , Luis Santos , Jeremy M. Hutson

A variational approach for the free energy is used to study the three-dimensional anisotropic XY model in the presence of a crystal field. The magnetization and the phase diagrams as a function of the parameters of the Hamiltonian are…

Statistical Mechanics · Physics 2009-11-11 L. M. Castro , A. S. T. Pires , J. A. Plascak

We present a thermodynamic description of ultracold gases with dipolar interactions which properly accounts for the long-range nature and broken rotation invariance of the interactions. It involves an additional thermodynamic field…

Quantum Gases · Physics 2025-07-16 Wilhelm Zwerger

We solve a long-standing puzzle in Statistical Mechanics of disordered systems. By performing a high-statistics simulation of the D=3 random-field Ising model at zero temperature for different shapes of the random-field distribution, we…

Disordered Systems and Neural Networks · Physics 2013-05-31 Nikolaos G. Fytas , Victor Martin-Mayor

We study polar molecule scattering in quasi-one-dimensional geometries. Elastic and reactive collision rates are computed as a function of collision energy and electric dipole moment for different confinement strengths. The numerical…

In a combined experimental and theoretical effort, we demonstrate a novel type of dipolar system made of ultracold bosonic dipolar molecules with large magnetic dipole moments. Our dipolar molecules are formed in weakly bound Feshbach…

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