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We present a class of exactly solvable models of correlated electrons. The models are defined in any dimension $d$ and consist of electron-hopping terms and local attractive interactions between electrons. For each even number of electrons…

Strongly Correlated Electrons · Physics 2009-11-10 Akinori Tanaka

We prove two equilibrium properties of a system of interacting atoms in three or higher dimensional continuous space. (i) If the particles interact via pair potentials of a nonnegative Fourier transform, their self-organization into…

Mathematical Physics · Physics 2023-05-31 Andras Suto

We explore the zero-temperature behavior of an assembly of bosons interacting through a zero-range, attractive potential. Because the two-body interaction admits a bound state, the many-body model is best described by a Hamiltonian that…

Other Condensed Matter · Physics 2011-11-10 George E. Cragg , Arthur K. Kerman

We investigate the properties of a dilute boson-fermion mixture at zero temperature. The ground-state energy of the system is calculated to second order in the Bose-Fermi coupling constant. The Green's function formalism is applied to…

Statistical Mechanics · Physics 2009-11-07 L. Viverit , S. Giorgini

We show that binary mixtures of Bose-condensates of alkali atoms have a great variety of ground state and vortex structures which can be accessed experimentally by varying the particle numbers of different alkalis. We have constructed a…

Condensed Matter · Physics 2007-05-23 Tin-Lun Ho , V. B. Shenoy

Each oscillator in a linear chain (a string) interacts with a local Ising spin in contact with a thermal bath. These spins evolve according to Glauber dynamics. Below a critical temperature, a rippled state in the string is accompanied by a…

Statistical Mechanics · Physics 2016-11-17 L L Bonilla , A Carpio , A Prados , R R Rosales

Thermalization of radiation by contact to matter is a well-known concept, but the application of thermodynamic methods to complex quantum states of light remains a challenge. Here we observe Bose-Einstein condensation of photons into the…

In the first part, we investigate the effect of long range particle exchange in ideal bosonic chains. We establish that by using the Heisenberg formalism along with matrix product state representation we can study the evolution as well as…

Quantum Physics · Physics 2010-02-23 Jose Reslen

We study condensation in several particle systems related to the inclusion process. For an asymmetric one-dimensional version with closed boundary conditions and drift to the right, we show that all but a finite number of particles condense…

Statistical Mechanics · Physics 2012-01-09 Stefan Grosskinsky , Frank Redig , Kiamars Vafayi

Using computer simulations, we identify the mechanisms causing aggregation and structural arrest of colloidal suspensions interacting with a short-ranged attraction at moderate and high densities. Two different non-ergodicity transitions…

Condensed Matter · Physics 2009-11-07 Antonio M. Puertas , Matthias Fuchs , Michael E. Cates

We investigate theoretically the bifurcation scenario for colloidal suspensions subject to a vertical temperature gradient taking into account the effect of sedimentation. In contrast to molecular binary mixtures, here the thermal…

Pattern Formation and Solitons · Physics 2015-05-13 A. Ryskin , H. Pleiner

We consider the model of self-interacting complex scalar fields with a rigid gauge invariance under an arbitrary gauge group $G$. In order to analyze the phenomenon of Bose-Einstein condensation finite temperature and the possibility of a…

High Energy Physics - Theory · Physics 2016-09-06 K. Kirsten , D. J. Toms

Diluted mean-field models are graphical models in which the geometry of interactions is determined by a sparse random graph or hypergraph. Based on a nonrigorous but analytic approach called the "cavity method", physicists have predicted…

Combinatorics · Mathematics 2016-06-23 Victor Bapst , Amin Coja-Oghlan , Felicia Raßmann

Using Brownian dynamics computer simulations we show that a two-dimensional suspension of self-propelled ("active") colloidal particles crystallizes at sufficiently high densities. Compared to the equilibrium freezing of passive particles…

Soft Condensed Matter · Physics 2012-06-12 Julian Bialké , Thomas Speck , Hartmut Löwen

The ground state properties and low-lying excitations of a (quasi) one-dimensional system of longitudinally confined interacting bosons are studied. This is achieved by extending Haldane's harmonic-fluid description to open boundary…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 M. A. Cazalilla

The thermally induced coherent collapse of Bose-Einstein condensates at finite temperature is the dominant decay mechanism near the critical scattering length in condensates with at least partially attractive interaction. The collapse…

Quantum Gases · Physics 2015-03-19 Andrej Junginger , Teresa Schaller , Gela Hämmerling , Jörg Main , Günter Wunner

We study theoretically and experimentally the emergence of supersolid properties in a dipolar Bose-Einstein condensate. The theory reveals a ground state phase diagram with three distinct regimes - a regular Bose-Einstein condensate,…

In a recent paper, arXiv:1309.4877, a holographic p-wave model has been proposed in an Einstein-Maxwell-complex vector field theory with a negative cosmological constant. The model exhibits rich phase structure depending on the mass and the…

High Energy Physics - Theory · Physics 2015-02-25 Li-Fang Li , Rong-Gen Cai , Li Li , Chao Shen

In this paper, we develop models applicable to phenomenological particle physics by using the string analogy of particles. These theories can be used to investigate the phenomenology of confinement, deconfinement, chiral condensate, QGP…

High Energy Physics - Phenomenology · Physics 2023-02-02 Adamu Issifu , Francisco A. Brito

We study a binary mixture of Bose-Einstein condensates, confined in a generic potential, in the Thomas-Fermi approximation. We search for the zero-temperature ground state of the system, both in the case of fixed numbers of particles and…

Mathematical Physics · Physics 2011-12-08 P. Facchi , G. Florio , S. Pascazio , F. V. Pepe