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We study persistent currents for interacting one-dimensional bosons on a tight ring trap, subjected to a rotating barrier potential, which induces an artificial U(1) gauge field. We show that, at intermediate interactions, the persistent…

Quantum Gases · Physics 2014-07-09 Marco Cominotti , Davide Rossini , Matteo Rizzi , Frank Hekking , Anna Minguzzi

We derive and describe a very accurate variational scheme for the ground state of the system of a few ultra-cold bosons confined in one-dimensional traps of arbitrary shapes. It is based on assumption that all inter-particle correlations…

Quantum Gases · Physics 2021-06-24 Przemysław Kościk , Arkadiusz Kuroś , Adam Pieprzycki , Tomasz Sowiński

In this article, we apply the recently proposed Asymmetric Bethe Ansatz method to the problem of two one-dimensional, short-range-interacting bosons on a ring in the presence of a $\delta$-function barrier. Only half of the Hilbert…

Mathematical Physics · Physics 2025-11-19 Maxim Olshanii , Mathias Albert , Gianni Aupetit-Diallo , Patrizia Vignolo , Steven G. Jackson

We develop a theory of non-relativistic bosons in two spatial dimensions with a weak short range attractive interaction. In the limit as the range of the interaction becomes small, there is an ultra-violet divergence in the problem. We…

High Energy Physics - Theory · Physics 2007-05-23 S. G. Rajeev

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

In systems with fast periodic driving, there are special subsets of (resonant) states, which behavior can be described with effective, time-independent Hamiltonian in a rotating reference frame. Here, we show that experimentally feasible…

Quantum Gases · Physics 2026-02-18 Damian Włodzyński , Krzysztof Sacha

A one-dimensional system of two trapped bosons which interact through a contact potential is studied using the optimized configuration interaction method. The rapid convergence of the method is demonstrated for trapping potentials of convex…

Quantum Physics · Physics 2017-07-17 Anna Okopinska , Przemyslaw Koscik

We consider here in a toy model an approach to bound state problem in a nonperturbative manner using equal time algebra for the interacting field operators. Potential is replaced by offshell bosonic quanta inside the bound state of…

High Energy Physics - Phenomenology · Physics 2009-10-22 H. Mishra , S. P. Misra

I consider non-relativistic bosons interacting via pairwise potentials with infinite scattering length and supporting no two-body bound states. To lowest order in effective field theory, these conditions lead to non-interacting bosons,…

Quantum Gases · Physics 2019-07-16 Manuel Valiente

In a system of ac-driven condensed bosons we study a new type of Josephson effect occurring between states sharing the same region of space and the same internal atom structure. We first develop a technique to calculate the long time…

Quantum Gases · Physics 2012-07-31 M. Heimsoth , C. E. Creffield , L. D. Carr , F. Sols

We derive an effective ring model in momentum space for trapped bosons with synthetic spin-orbit coupling. This effective model is characterized by a peculiar form of the inter particle interactions, which is crucially modified by the…

Quantum Gases · Physics 2014-12-31 Xing Chen , Michael Rabinovic , Brandon M. Anderson , Luis Santos

A study of an interacting system of bosons in a ring trap at a finite temperature is presented. We consider a gas with contact and long-range dipolar interactions within a framework of the classical fields approximation. For a repulsive gas…

Quantum Gases · Physics 2020-03-04 Maciej Kruk , Maciej Łebek , Kazimierz Rzążewski

We investigate finite number effects in collisions between two states of an initially well known number of identical bosons with contact interactions, oscillating in the presence of harmonic confinement in one dimension. We investigate two…

Quantum Gases · Physics 2013-04-30 David I. H. Holdaway , Christoph Weiss , Simon A. Gardiner

We investigate ground-state and thermal properties of a system of non-relativistic bosons interacting through repulsive, two-body interactions in a self-consistent gaussian mean-field approximation wich consists in writing the variational…

Condensed Matter · Physics 2009-10-28 Paolo Tommasini , A. F. R. de Toledo Piza

The non-perturbative effect of interaction can sometimes make interacting bosons behave as though they were free fermions. The system of neutral bosons in a rapidly rotating atomic trap is equivalent to charged bosons coupled to a magnetic…

Mesoscale and Nanoscale Physics · Physics 2018-09-25 Chia-Chen Chang , Nicolas Regnault , Thierry Jolicoeur , Jainendra K. Jain

In a recent paper [Phys. Rev. A 82, 063623 (2010)] Hallwood et al. argued that it is feasible to create large superposition states with strongly interacting bosons in rotating rings. Here we investigate in detail how the superposition…

Quantum Gases · Physics 2011-11-09 Andreas Nunnenkamp , Ana Maria Rey , Keith Burnett

Boundary interactions of closed-string with open-strings are examined intended to provide a constructive formulation of boundary string field theory. As an illustration, we consider the BPS $D$-brane of the type II superstring in a constant…

High Energy Physics - Theory · Physics 2007-05-23 Takashi Maeda , Toshio Nakatsu , Taku Oonishi

Strongly interacting one-dimensional quantum systems often behave in a manner that is distinctly different from their higher-dimensional counterparts. When a particle attempts to move in a one-dimensional environment it will unavoidably…

We consider the field theory of $N$ massless bosons which are free except for an interaction localized on the boundary of their 1+1 dimensional world. The boundary action is the sum of two pieces: a periodic potential and a coupling to a…

High Energy Physics - Theory · Physics 2009-10-28 Ali Yegulalp

The system of two interacting bosons in a two-dimensional harmonic trap is compared with the system consisting of two noninteracting fermions in the same potential. In particular, we discuss how the properties of the ground state of the…

Quantum Gases · Physics 2018-03-21 Pere Mujal , Artur Polls , Bruno Juliá-Díaz
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