Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Journal of Physics B Atomic Molecular and Optical Physics

Dynamics of Bose–Einstein-condensed vortex–antivortex superposed states in a two-dimensional infinite-depth square well

Linghua Wen, Ji‐Suo Wang, Jian Feng, Hai-Quan Hu

Published Jun 23, 2008• 10 citations
Publisher

Abstract

We investigate the dynamic properties of the vortex–antivortex superposed state (VAVSS) as well as the pure vortex state for a Bose–Einstein condensate released from a harmonic trap into a confining two-dimensional (2D) infinite-depth square well. It is shown that with the development of time the VAVSS as well as the pure vortex is destroyed gradually and fragmented into a series of interference patterns. After the VAVSS collides with the boundary walls of the 2D square trap, the density distribution of the system shows no diagonal axis symmetry concerning the leading diagonals of the 2D square trap, which is evidently different from the case of the pure vortex. The present work provides an additional criterion or alternative scheme for detecting the VAVSS. In addition, this scheme can also distinguish two degenerate VAVSS and discriminate the VAVSS with equal superposition ratio from those with unequal ratio.

DOI
10.1088/0953-4075/41/13/135301

Related papers

Structure and generation of the vortex-antivortex superposed state in Bose-Einstein condensates

M. Liu, Linghua Wen, Hongwei Xiong +1 more

We investigate the properties of the vortex-antivortex superposed state for a Bose-Einstein condensate confined in a harmonic potential. The density distribution of the vortex-antivortex superposed state has a petal structure which is determined by the quantum circulations and proportion of the vortex and antivortex. Based on the Gross-Pitaevskii equation, we show that this vortex-antivortex superposed state can be stable through both analytical derivation and numerical calculations. Furthermore, we propose a feasible scheme to generate a coherently superposed vortex-antivortex state with arbitrary proportion by compressing and rehabilitating the harmonic trap with specific time order, which is proven by numerical simulations.

Physical Review A•Jun 26, 2006•17 citations

Structure and stability of quasi-two-dimensional boson–fermion mixtures with vortex–antivortex superposed states

Linghua Wen, Yongping Zhang, Jian Feng

We investigate the equilibrium properties of a quasi-two-dimensional degenerate boson-fermion mixture (DBFM) with a bosonic vortex-antivortex superposed state (VAVSS) using a quantum-hydrodynamic model. We show that, depending on the choice of parameters, the DBFM with a VAVSS can exhibit rich phase structures. For repulsive boson-fermion (BF) interaction, the Bose-Einstein condensate (BEC) may constitute a petal-shaped "core" inside the honeycomb-like fermionic component, or a ring-shaped joint "shell" around the onion-like fermionic cloud, or multiple segregated "islands" embedded in the disc-shaped Fermi gas. For attractive BF interaction just below the threshold for collapse, an almost complete mixing between the bosonic and fermionic components is formed, where the fermionic component tends to mimic a bosonic VAVSS. The influence of an anharmonic trap on the density distributions of the DBFM with a bosonic VAVSS is discussed. In addition, a stability region for different cases of DBFM (without vortex, with a bosonic vortex, and with a bosonic VAVSS) with specific parameters is given.

arXiv:1007.4422•Journal of Physics B Atomic Molecular and Optical Physics•Oct 29, 2010•7 citations

Vortex dipole in a trapped two-dimensional Bose-Einstein condensate

Weibin Li, Masudul Haque, Stavros Komineas

We study the conservative dynamics and stationary configurations of a vortex-antivortex pair in a harmonically trapped two-dimensional Bose-Einstein condensate. We establish the conceptual framework for understanding the stationary states and the topological defect trajectories, through considerations of different mechanisms of vortex motion and the bifurcation of solitonlike stationary solutions. Our insights are based on Lagrangian-based variational calculations, numerical solutions of both the time-dependent and time-independent Gross-Pitaevskii equations, and exact solutions for the noninteracting case.

arXiv:0712.4217•Physical Review A•May 19, 2008•54 citations

Asymmetric vortex dynamics in two-dimensional Bose–Einstein condensate with harmonic trap potential

Chenghao Li, Zhengliang Liu, Yuan Ren +4 more

Based on the two-dimensional Gross–Pitaevskii equation model, we investigated the asymmetric vortex evolution of two-dimensional Bose–Einstein condensates in a harmonic potential trap with polar direction perturbation. This corresponds to the generation of an asymmetric vortex evolution mode under initial vortex light manipulation together with polar direction perturbation. Unlike most of the prior work on this topic that uses a pure numerical method for the system under study, we use an exact analytical method rather than numerical simulation to investigate the key features of the system evolution dynamics in this study. Based on the variational method, and for different system parameter settings including the strength of the harmonic oscillator potential and the nonlinear interaction, we derived two evolution modes, namely, the periodic evolution oscillation mode and the monotonic decay mode, and pictorially demonstrated the evolution patterns of the system. In addition, we investigated the scenario when the system is in the rotating state, which corresponds to the action of the quadratic centrifugal potential. Notably, we also identified the damping effects for the two modes with increasing angular velocity, whose upper limit value corresponds to the constant vortex pattern of the system. Our theoretical results can be used to guide the experimental investigation of asymmetric vortex evolution in two-dimensional Bose–Einstein condensates.

AIP Advances•Oct 1, 2022•0 citations

Onsager vortex formation in Bose-Einstein condensates in two-dimensional power-law traps

Andrew J. Groszek, Tapio Simula, David M. Paganin +1 more

We study computationally dynamics of quantized vortices in two-dimensional superfluid Bose-Einstein condensates confined in highly oblate power-law traps. We have found that the formation of large-scale Onsager vortex clusters prevalent in steep-walled traps is suppressed in condensates confined by harmonic potentials. However, the shape of the trapping potential does not appear to adversely affect the evaporative heating efficiency of the vortex gas. Instead, the suppression of Onsager vortex formation in harmonic traps can be understood in terms of the energy of the vortex configurations. Furthermore, we find that the vortex-antivortex pair annihilation that underpins the vortex evaporative heating mechanism requires the interaction of at least three vortices. We conclude that experimental observation of Onsager vortices should be the most apparent in flat or inverted-bottom traps.

arXiv:1511.06552•Physical Review A•Apr 13, 2016•60 citations

Vortex scattering by impurities in a Bose–Einstein condensate

Adam Griffin, G. W. Stagg, Nick P. Proukakis +1 more

Abstract Understanding quantum dynamics in a two-dimensional Bose–Einstein condensate relies on understanding how vortices interact with each other microscopically and with local imperfections of the potential which confines the condensate. Within a system consisting of many vortices, the trajectory of a vortex–antivortex pair is often scattered by a third vortex, an effect previously characterised. However, the natural question remains as to how much of this effect is due to the velocity induced by this third vortex and how much is due to the density inhomogeneity which it introduces. In this work, we describe the various qualitative scenarios which occur when a vortex–antivortex pair interacts with a smooth density impurity whose profile is identical to that of a vortex but lacks the circulation around it.

arXiv:1609.06226•Journal of Physics B Atomic Molecular and Optical Physics•Apr 21, 2017•14 citations
We investigate the dynamic properties of the vortex–antivortex superposed state (VAVSS) as well as the pure vortex state for a Bose–Einstein condensate released from a harmonic trap into a confining two-dimensional (2D) infinite-depth square well. It is shown that with the development of time the VAVSS as well as the pure vortex is destroyed gradually and fragmented into a series of interference patterns. After the VAVSS collides with the boundary walls of the 2D square trap, the density distribution of the system shows no diagonal axis symmetry concerning the leading diagonals of the 2D square trap, which is evidently different from the case of the pure vortex. The present work provides an additional criterion or alternative scheme for detecting the VAVSS. In addition, this scheme can also distinguish two degenerate VAVSS and discriminate the VAVSS with equal superposition ratio from those with unequal ratio.
We investigate the properties of the vortex-antivortex superposed state for a Bose-Einstein condensate confined in a harmonic potential. The density distribution of the vortex-antivortex superposed state has a petal structure which is determined by the quantum circulations and proportion of the vortex and antivortex. Based on the Gross-Pitaevskii equation, we show that this vortex-antivortex superposed state can be stable through both analytical derivation and numerical calculations. Furthermore, we propose a feasible scheme to generate a coherently superposed vortex-antivortex state with arbitrary proportion by compressing and rehabilitating the harmonic trap with specific time order, which is proven by numerical simulations.
We investigate the equilibrium properties of a quasi-two-dimensional degenerate boson-fermion mixture (DBFM) with a bosonic vortex-antivortex superposed state (VAVSS) using a quantum-hydrodynamic model. We show that, depending on the choice of parameters, the DBFM with a VAVSS can exhibit rich phase structures. For repulsive boson-fermion (BF) interaction, the Bose-Einstein condensate (BEC) may constitute a petal-shaped "core" inside the honeycomb-like fermionic component, or a ring-shaped joint "shell" around the onion-like fermionic cloud, or multiple segregated "islands" embedded in the disc-shaped Fermi gas. For attractive BF interaction just below the threshold for collapse, an almost complete mixing between the bosonic and fermionic components is formed, where the fermionic component tends to mimic a bosonic VAVSS. The influence of an anharmonic trap on the density distributions of the DBFM with a bosonic VAVSS is discussed. In addition, a stability region for different cases of DBFM (without vortex, with a bosonic vortex, and with a bosonic VAVSS) with specific parameters is given.
We study the conservative dynamics and stationary configurations of a vortex-antivortex pair in a harmonically trapped two-dimensional Bose-Einstein condensate. We establish the conceptual framework for understanding the stationary states and the topological defect trajectories, through considerations of different mechanisms of vortex motion and the bifurcation of solitonlike stationary solutions. Our insights are based on Lagrangian-based variational calculations, numerical solutions of both the time-dependent and time-independent Gross-Pitaevskii equations, and exact solutions for the noninteracting case.
Based on the two-dimensional Gross–Pitaevskii equation model, we investigated the asymmetric vortex evolution of two-dimensional Bose–Einstein condensates in a harmonic potential trap with polar direction perturbation. This corresponds to the generation of an asymmetric vortex evolution mode under initial vortex light manipulation together with polar direction perturbation. Unlike most of the prior work on this topic that uses a pure numerical method for the system under study, we use an exact analytical method rather than numerical simulation to investigate the key features of the system evolution dynamics in this study. Based on the variational method, and for different system parameter settings including the strength of the harmonic oscillator potential and the nonlinear interaction, we derived two evolution modes, namely, the periodic evolution oscillation mode and the monotonic decay mode, and pictorially demonstrated the evolution patterns of the system. In addition, we investigated the scenario when the system is in the rotating state, which corresponds to the action of the quadratic centrifugal potential. Notably, we also identified the damping effects for the two modes with increasing angular velocity, whose upper limit value corresponds to the constant vortex pattern of the system. Our theoretical results can be used to guide the experimental investigation of asymmetric vortex evolution in two-dimensional Bose–Einstein condensates.
We study computationally dynamics of quantized vortices in two-dimensional superfluid Bose-Einstein condensates confined in highly oblate power-law traps. We have found that the formation of large-scale Onsager vortex clusters prevalent in steep-walled traps is suppressed in condensates confined by harmonic potentials. However, the shape of the trapping potential does not appear to adversely affect the evaporative heating efficiency of the vortex gas. Instead, the suppression of Onsager vortex formation in harmonic traps can be understood in terms of the energy of the vortex configurations. Furthermore, we find that the vortex-antivortex pair annihilation that underpins the vortex evaporative heating mechanism requires the interaction of at least three vortices. We conclude that experimental observation of Onsager vortices should be the most apparent in flat or inverted-bottom traps.
Abstract Understanding quantum dynamics in a two-dimensional Bose–Einstein condensate relies on understanding how vortices interact with each other microscopically and with local imperfections of the potential which confines the condensate. Within a system consisting of many vortices, the trajectory of a vortex–antivortex pair is often scattered by a third vortex, an effect previously characterised. However, the natural question remains as to how much of this effect is due to the velocity induced by this third vortex and how much is due to the density inhomogeneity which it introduces. In this work, we describe the various qualitative scenarios which occur when a vortex–antivortex pair interacts with a smooth density impurity whose profile is identical to that of a vortex but lacks the circulation around it.