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Bosonic degrees of freedom and their emergence as a part of complex quantum many-body dynamics, symmetries, collective behavior, clustering and phase transitions play an important role in modern studies of quantum systems. In this work we…

Quantum Physics · Physics 2022-12-05 Charles White , Alexander Volya , Declan Mulhall , Vladimir Zelevinsky

The 1+1 dimensional bosonised Schwinger model has been studied in a noncommutative scenario. The theory in the reduced phase space exhibits a massive boson interacting with a background. The emergence of this background interaction is a…

High Energy Physics - Theory · Physics 2010-11-05 Anirban Saha , Anisur Rahaman , Pradip Mukherjee

We consider a one-dimensional bosonic gas on a ring lattice, in the presence of a localized barrier, and under the effect of an artificial gauge field. By means of exact diagonalization we study the persistent currents at varying…

Quantum Gases · Physics 2017-12-22 Geva Arwas , Doron Cohen , Frank Hekking , Anna Minguzzi

We investigate the possible existence of the bound state in the system of three bosons interacting with each other via zero-radius potentials in two dimensions (it can be atoms confined in two dimensions or tri-exciton states in…

Quantum Gases · Physics 2017-01-10 Tianhao Ren , Igor Aleiner

We investigate the ground state of the system of N bosons enclosed in a hard-wall trap interacting via a repulsive or attractive $\delta$-function potential. Based on the Bethe ansatz method, the explicit ground state wave function is…

Strongly Correlated Electrons · Physics 2007-05-23 Yajiang Hao , Yunbo Zhang , J. -Q. Liang , Shu Chen

We study the reduced dynamics of interacting spins, each coupled to its own bath of bosons. We derive the solution in analytic form in the white-noise limit and analyze the rich behaviors in diverse limits ranging from weak coupling and/or…

Quantum Physics · Physics 2008-07-16 P. Nägele , G. Campagnano , U. Weiss

We investigate the ground state properties of the repulsive interacting bosons in an one dimensional rotating lattice ring, and reveal that the superfluid density of the system and the mass current it can carry in the rotating coordinate…

Other Condensed Matter · Physics 2007-05-23 Qi Zhou

We investigate the Dirac time-dependent variational method for a system of non-ideal Bosons interacting through an arbitrary two body potential. The method produces a set of non-linear time dependent equations for the variational…

Condensed Matter · Physics 2016-08-31 Arthur K. Kerman , Paolo Tommasini

We consider a strongly interacting quasi-one dimensional Bose gas on a tight ring trap subjected to a localized barrier potential. We explore the possibility to form a macroscopic superposition of a rotating and a nonrotating state under…

Quantum Gases · Physics 2015-05-30 C. Schenke , A. Minguzzi , F. W. J. Hekking

We extend the exact periodic Bethe Ansatz solution for one-dimensional bosons and fermions with delta-interaction and arbitrary internal degrees of freedom to the case of hard wall boundary conditions. We give an analysis of the ground…

Statistical Mechanics · Physics 2007-05-23 N. Oelkers , M. T. Batchelor , M. Bortz , X. W. Guan

A new formulation for the study of interacting bosons on a lattice is introduced. This approach is used to give analytical expressions for the Mott insulating lobes in the phase diagram and to calculate the density-density correlation…

Condensed Matter · Physics 2007-05-23 Raymond Fresard

We investigate the properties of the ground state of a system of interacting bosons on regular lattices with coordination number $k\geq 2$. The interaction is a pure, infinite, on-site repulsion. Our concern is to give an improved upper…

Statistical Mechanics · Physics 2007-05-23 Andras Suto

We consider the dynamics of $N$ interacting bosons in three dimensions which are strongly confined in one or two directions. We analyze the two cases where the interaction potential $w$ is rescaled by either $N^{-1}w(\cdot)$ or…

Mathematical Physics · Physics 2014-12-11 Johannes von Keler

The ground-state properties of attractive bosons trapped in a ring lattice including a single attractive potential well with an adjustable depth are investigated. The energy spectrum is reconstructed both in the strong-interaction limit and…

Quantum Physics · Physics 2014-03-19 Michele Cavaletto , Vittorio Penna

We undertake a general study of the boundary (or edge) modes that arise in gauge and gravitational theories defined on a space with boundary, either asymptotic or at finite distance, focusing on efficient techniques for computing the…

High Energy Physics - Theory · Physics 2023-05-17 Seolhwa Kim , Per Kraus , Richard M. Myers

We consider a harmonically trapped few-Boson system under rotation and investigate the ground state properties beyond the usual ``lowest Landau level'' approximation by using exact diagonalizations in a restricted Hilbert subspace. We find…

Statistical Mechanics · Physics 2007-05-23 Xiaji Liu , Hui Hu , Lee Chang , Shi-Qun Li

Random interactions are used to investigate to what extent the low-lying behavior of even-even nuclei depend on particular nucleon-nucleon interactions. The surprising results that were obtained for the interacting boson model, i.e. the…

Nuclear Theory · Physics 2017-11-03 R. Bijker , A. Frank

In a k-dimensional system of weakly interacting Bose atoms trapped by a spherically symmetric and harmonic external potential, an exact expression is obtained for the rotating ground states at a fixed angular momentum. The result is valid…

Statistical Mechanics · Physics 2009-11-07 O. K. Vorov , M. S. Hussein , P. Van Isacker

We analyze interacting one-dimensional bosons in the continuum, subject to a periodic sinusoidal potential of arbitrary depth. Variation of the lattice depth tunes the system from the Bose-Hubbard limit for deep lattices, through the…

Quantum Gases · Physics 2013-06-21 Achilleas Lazarides , Masudul Haque

The variational determination of the two-boson reduced density matrix is described for a one-dimensional system of $N$ (where $N$ ranges from $2$ to $10^4$) harmonically trapped bosons interacting via contact interaction. The ground-state…

Quantum Gases · Physics 2026-04-27 Mitchell J. Knight , Harry M. Quiney , Andy M. Martin