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Based on ideas introduced in a previous preprint cond-mat/9701206 we propose an exactly solvable model of bosons interacting amongst themselves via a Van-der Waal-like repulsive interaction, and compute both the filling fraction and the…

Condensed Matter · Physics 2008-02-03 Girish S. Setlur

We argue that Coulomb blockade phenomena are a useful probe of the cross-over to strong correlation in quantum dots. Through calculations at low density using variational and diffusion quantum Monte Carlo (up to r_s ~ 55), we find that the…

Mesoscale and Nanoscale Physics · Physics 2009-08-11 A. D. Guclu , A. Ghosal , C. J. Umrigar , H. U. Baranger

A one-dimensional (1D) Bose system with dipole-dipole repulsion is studied at zero temperature by means of a Quantum Monte Carlo method. It is shown that in the limit of small linear density the bosonic system of dipole moments acquires…

Strongly Correlated Electrons · Physics 2009-11-11 A. S. Arkhipov , G. E. Astrakharchik , A. V. Belikov , Yu. E. Lozovik

The quantum behavior of a precooled cantilever can be probed highly efficiently by coupling to a trapped ultracold ion, in which a fast cooling of the cantilever down to the ground vibrational state is possible. We solve the dynamics of the…

Quantum Physics · Physics 2007-05-23 T. Liu , M. Feng , K. L. Wang

The ground state of a two-dimensional (2D) system of Bose particles of spin zero, interacting via a repulsive Gaussian-Core potential, has been investigated by means of Quantum Monte Carlo simulations. The quantum phase diagram is…

Statistical Mechanics · Physics 2016-06-01 Peter Kroiss , Massimo Boninsegni , Lode Pollet

We study a system of electrons on a one-dimensional lattice, interacting through the long range Coulomb forces, by means of a variational technique which is the strong coupling analog of the Gutzwiller approach. The problem is thus the…

Strongly Correlated Electrons · Physics 2007-05-23 S. Fratini , B. Valenzuela , D. Baeriswyl

We consider systems of N bosons trapped on the two-dimensional unit torus, in the Gross-Pitaevskii regime, where the scattering length of the repulsive interaction is exponentially small in the number of particles. We show that low-energy…

Mathematical Physics · Physics 2023-01-11 Cristina Caraci , Serena Cenatiempo , Benjamin Schlein

Closed form analytical expressions are obtained for the Wigner transform of the Bloch density matrix and for the Wigner phase space density of a two dimensional harmonically trapped charged quantum gas in a uniform magnetic field of…

Atomic Physics · Physics 2021-04-15 K. Bencheikh , L. M. Nieto

The paper examines a trapped one-dimensional system of multicomponent spinless fermions that interact with a zero-range two-body potential. We show that when the repulsion between particles is very large the system can be approached…

We solve the three-boson problem with contact two- and three-body interactions in one dimension and analytically calculate the ground and excited trimer-state energies. Then, by using the diffusion Monte Carlo technique we calculate the…

Quantum Gases · Physics 2018-06-20 G. Guijarro , A. Pricoupenko , G. E. Astrakharchik , J. Boronat , D. S. Petrov

The discovery of accelerated cosmic expansion implies that, in addition to the attractive gravity of matter, there exists in our universe some other form of energy (dark energy or cosmological constant) producing a repulsive force. The…

General Physics · Physics 2013-03-26 Ti-Pei Li

In one dimension, the study of magnetism dates back to the dawn of quantum mechanics when Bethe solved the famous Heisenberg model that describes quantum behaviour in magnetic systems. In the last decade, one-dimensional systems have become…

Quantum Gases · Physics 2015-05-26 A. G. Volosniev , D. V. Fedorov , A. S. Jensen , M. Valiente , N. T. Zinner

We use a diffusion Monte Carlo method to calculate the lowest energy state of a uniform gas of bosons interacting through different model potentials, both strictly repulsive and with an attractive well. We explicitly verify that at low…

Condensed Matter · Physics 2009-10-31 S. Giorgini , J. Boronat , J. Casulleras

In narrow-band conductors a weakly screened Coulomb interelectron repulsion can supress narrow-band electrons' hopping, resulting in formation of a ``frozen'' electron phase which differs principally from any known macroscopic…

Strongly Correlated Electrons · Physics 2009-10-31 A. A. Slutskin , V. V. Slavin , H. A. Kovtun

Solid state physics deals with systems composed of atoms with strongly bound electrons. The tunneling probability of each electron is determined by interactions that typically extend to neighboring sites, as their corresponding wave…

Materials Science · Physics 2019-11-27 F. Ramírez-Ramírez , E. Flores-Olmedo , G. Báez , E. Sadurní , R. ~A. Méndez-Sánchez

Recent experimental and theoretical work has shown that there are conditions in which a trapped, low-density Bose gas behaves like the one-dimensional delta-function Bose gas solved years ago by Lieb and Liniger. This is an intrinsically…

Mathematical Physics · Physics 2009-11-10 Elliott H. Lieb , Robert Seiringer , Jakob Yngvason

We use a quantum Monte Carlo method to investigate various classes of 2D spin models with long-range interactions at low temperatures. In particular, we study a dipolar XXZ model with U(1) symmetry that appears as a hard-core boson limit of…

Quantum Gases · Physics 2016-11-11 Michal Maik , Philipp Hauke , Omjyoti Dutta , Jakub Zakrzewski , Maciej Lewenstein

We calculate resonances which are formed by a particle in a potential which is either Coulombian or quadratic when the particle is strongly coupled to a massless boson, taking only two energy levels into consideration. From these…

Quantum Physics · Physics 2009-11-13 Claude Billionnet

We show that Bogoliubov equations in one-dimensional systems with piecewise constant potentials can be always solved. In particular, we analyze in detail the case where the condensate wavefunction is a real-valued function, and give the…

Quantum Gases · Physics 2009-09-08 Daisuke Takahashi

In this work we derive and analyze coarse-grained descriptions of self-propelled particles with selective attraction-repulsion interaction, where individuals may respond differently to their neighbours depending on their relative state of…

Soft Condensed Matter · Physics 2016-05-02 Robert Grossmann , Lutz Schimansky-Geier , Pawel Romanczuk
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