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External Josephson effect in Bose-Einstein condensates with a spin degree of freedom

External Josephson effect in Bose-Einstein condensates with a spin degree of freedom
External Josephson effect in Bose-Einstein condensates with a spin degree of freedom
We consider the Josephson effect between two spatially separated Bose-Einstein condensates of atoms each of which can be in two hyperfine states. We derive simple equations of motion for this system closely analogous to the Bloch equations. We also map the dynamics of the system onto those of a classical particle in a well. We find density and spin modes of oscillation and stable equilibrium points of the motion that are unstable in the spinless case. Finally we analyze the oscillation modes in the spin-1 (F=1) case.

1050-2947
013609-[10 pages]
Ashhab, Sahel
3730f6e1-ef15-495c-aa90-3cae94b4e12f
Lobo, Carlos
cde7843a-c00b-4242-a8cd-1abb2dfe0703
Ashhab, Sahel
3730f6e1-ef15-495c-aa90-3cae94b4e12f
Lobo, Carlos
cde7843a-c00b-4242-a8cd-1abb2dfe0703

Ashhab, Sahel and Lobo, Carlos (2002) External Josephson effect in Bose-Einstein condensates with a spin degree of freedom. Physical Review A, 66 (1), 013609-[10 pages]. (doi:10.1103/PhysRevA.66.013609).

Record type: Article

Abstract

We consider the Josephson effect between two spatially separated Bose-Einstein condensates of atoms each of which can be in two hyperfine states. We derive simple equations of motion for this system closely analogous to the Bloch equations. We also map the dynamics of the system onto those of a classical particle in a well. We find density and spin modes of oscillation and stable equilibrium points of the motion that are unstable in the spinless case. Finally we analyze the oscillation modes in the spin-1 (F=1) case.

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Published date: 2002
Organisations: Applied Mathematics

Identifiers

Local EPrints ID: 205939
URI: http://eprints.soton.ac.uk/id/eprint/205939
ISSN: 1050-2947
PURE UUID: 4f439396-b3d1-4d8f-8890-bbfb9c8b17f6
ORCID for Carlos Lobo: ORCID iD orcid.org/0000-0001-7060-3905

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Date deposited: 15 Dec 2011 09:53
Last modified: 03 Dec 2019 01:43

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Contributors

Author: Sahel Ashhab
Author: Carlos Lobo ORCID iD

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