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Vortex lattice formation in Bose-Einstein condensates

Vortex lattice formation in Bose-Einstein condensates
Vortex lattice formation in Bose-Einstein condensates
We show that the formation of a vortex lattice in a weakly interacting Bose condensed gas can be modeled with the nonlinear Schrödinger equation for both T=0 and finite temperatures without the need for an explicit damping term. Applying a weak rotating anisotropic harmonic potential, we find numerically that the turbulent dynamics of the field produces an effective dissipation of the vortex motion and leads to the formation of a lattice. For T=0, this turbulent dynamics is triggered by a rotational dynamic instability of the condensate. For finite temperatures, noise is present at the start of the simulation and allows the formation of a vortex lattice at a lower rotation frequency, the Landau frequency. These two regimes have different vortex dynamics. We show that the multimode interpretation of the classical field is essential
020403-[4pp]
Lobo, Carlos
cde7843a-c00b-4242-a8cd-1abb2dfe0703
Sinatra, Alice
4cebef2a-dd86-4f3c-9598-9fd8a7c4e5f8
Castin, Yvan
2c37c4b6-214d-40df-82c1-9d327d0098ec
Lobo, Carlos
cde7843a-c00b-4242-a8cd-1abb2dfe0703
Sinatra, Alice
4cebef2a-dd86-4f3c-9598-9fd8a7c4e5f8
Castin, Yvan
2c37c4b6-214d-40df-82c1-9d327d0098ec

Lobo, Carlos, Sinatra, Alice and Castin, Yvan (2004) Vortex lattice formation in Bose-Einstein condensates. Physical Review Letters, 92 (2), 020403-[4pp]. (doi:10.1103/PhysRevLett.92.020403).

Record type: Article

Abstract

We show that the formation of a vortex lattice in a weakly interacting Bose condensed gas can be modeled with the nonlinear Schrödinger equation for both T=0 and finite temperatures without the need for an explicit damping term. Applying a weak rotating anisotropic harmonic potential, we find numerically that the turbulent dynamics of the field produces an effective dissipation of the vortex motion and leads to the formation of a lattice. For T=0, this turbulent dynamics is triggered by a rotational dynamic instability of the condensate. For finite temperatures, noise is present at the start of the simulation and allows the formation of a vortex lattice at a lower rotation frequency, the Landau frequency. These two regimes have different vortex dynamics. We show that the multimode interpretation of the classical field is essential

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Published date: 16 January 2004
Organisations: Applied Mathematics

Identifiers

Local EPrints ID: 205911
URI: http://eprints.soton.ac.uk/id/eprint/205911
PURE UUID: 796f9589-d101-423e-85e3-9659b9cc1e06
ORCID for Carlos Lobo: ORCID iD orcid.org/0000-0001-7060-3905

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Date deposited: 15 Dec 2011 09:42
Last modified: 15 Mar 2024 03:32

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Contributors

Author: Carlos Lobo ORCID iD
Author: Alice Sinatra
Author: Yvan Castin

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