Creation and dynamics of remote spin-entangled pairs in the expansion of strongly correlated fermions in an optical lattice

We consider the nonequilibrium dynamics of an interacting spin- $\frac {1}{2}$ fermion gas in a one-dimensional optical lattice after switching off the confining potential. In particular, we study the creation and the time evolution of spatially separated, spin-entangled fermionic pairs. The time-de...

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Main Authors: Stefan Keßler, Ian P McCulloch, Florian Marquardt
Format: Article
Language:English
Published: IOP Publishing 2013-01-01
Series:New Journal of Physics
Online Access:https://doi.org/10.1088/1367-2630/15/5/053043
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author Stefan Keßler
Ian P McCulloch
Florian Marquardt
author_facet Stefan Keßler
Ian P McCulloch
Florian Marquardt
author_sort Stefan Keßler
collection DOAJ
description We consider the nonequilibrium dynamics of an interacting spin- $\frac {1}{2}$ fermion gas in a one-dimensional optical lattice after switching off the confining potential. In particular, we study the creation and the time evolution of spatially separated, spin-entangled fermionic pairs. The time-dependent density-matrix renormalization group is used to simulate the time evolution and evaluate the two-site spin correlation functions, from which the concurrence is calculated. We find that the typical distance between entangled fermions depends crucially on the onsite interaction strength, and that a time-dependent modulation of the tunnelling amplitude can enhance the production of spin entanglement. Moreover, we discuss the prospects of experimentally observing these phenomena using spin-dependent single-site detection.
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spelling doaj.art-5fcd6093de0a4fd29760f9f615a5d2132023-08-08T11:09:10ZengIOP PublishingNew Journal of Physics1367-26302013-01-0115505304310.1088/1367-2630/15/5/053043Creation and dynamics of remote spin-entangled pairs in the expansion of strongly correlated fermions in an optical latticeStefan Keßler0Ian P McCulloch1Florian Marquardt2Institute for Theoretical Physics, Universität Erlangen-Nürnberg , Staudtstrasse 7, D-91058 Erlangen, GermanyCentre for Engineered Quantum Systems, School of Mathematics and Physics, The University of Queensland , St Lucia, QLD 4072, AustraliaInstitute for Theoretical Physics, Universität Erlangen-Nürnberg , Staudtstrasse 7, D-91058 Erlangen, Germany; Max Planck Institute for the Science of Light , Günther-Scharowsky-Straße 1/Bau 24, D-91058 Erlangen, GermanyWe consider the nonequilibrium dynamics of an interacting spin- $\frac {1}{2}$ fermion gas in a one-dimensional optical lattice after switching off the confining potential. In particular, we study the creation and the time evolution of spatially separated, spin-entangled fermionic pairs. The time-dependent density-matrix renormalization group is used to simulate the time evolution and evaluate the two-site spin correlation functions, from which the concurrence is calculated. We find that the typical distance between entangled fermions depends crucially on the onsite interaction strength, and that a time-dependent modulation of the tunnelling amplitude can enhance the production of spin entanglement. Moreover, we discuss the prospects of experimentally observing these phenomena using spin-dependent single-site detection.https://doi.org/10.1088/1367-2630/15/5/053043
spellingShingle Stefan Keßler
Ian P McCulloch
Florian Marquardt
Creation and dynamics of remote spin-entangled pairs in the expansion of strongly correlated fermions in an optical lattice
New Journal of Physics
title Creation and dynamics of remote spin-entangled pairs in the expansion of strongly correlated fermions in an optical lattice
title_full Creation and dynamics of remote spin-entangled pairs in the expansion of strongly correlated fermions in an optical lattice
title_fullStr Creation and dynamics of remote spin-entangled pairs in the expansion of strongly correlated fermions in an optical lattice
title_full_unstemmed Creation and dynamics of remote spin-entangled pairs in the expansion of strongly correlated fermions in an optical lattice
title_short Creation and dynamics of remote spin-entangled pairs in the expansion of strongly correlated fermions in an optical lattice
title_sort creation and dynamics of remote spin entangled pairs in the expansion of strongly correlated fermions in an optical lattice
url https://doi.org/10.1088/1367-2630/15/5/053043
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