Strongly interacting spin-orbit coupled Bose-Einstein condensates in one dimension

We theoretically study dilute superfluidity of spin-1 bosons with antiferromagnetic interactions and synthetic spin-orbit coupling (SOC) in a one-dimensional lattice. Employing a combination of density matrix renormalization group and quantum field theoretical techniques we demonstrate the appearanc...

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Main Authors: Siddhartha Saha, E. J. König, Junhyun Lee, J. H. Pixley
Format: Article
Language:English
Published: American Physical Society 2020-03-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.2.013252
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author Siddhartha Saha
E. J. König
Junhyun Lee
J. H. Pixley
author_facet Siddhartha Saha
E. J. König
Junhyun Lee
J. H. Pixley
author_sort Siddhartha Saha
collection DOAJ
description We theoretically study dilute superfluidity of spin-1 bosons with antiferromagnetic interactions and synthetic spin-orbit coupling (SOC) in a one-dimensional lattice. Employing a combination of density matrix renormalization group and quantum field theoretical techniques we demonstrate the appearance of a robust superfluid spin-liquid phase in which the spin sector of this spinor Bose-Einstein condensate remains quantum disordered even after introducing quadratic Zeeman and helical magnetic fields. Despite remaining disordered, the presence of these symmetry-breaking fields lifts the perfect spin-charge separation and thus the nematic correlators obey power-law behavior. We demonstrate that, at strong coupling, the SOC induces a charge density wave state that is not accessible in the presence of linear and quadratic Zeeman fields alone. In addition, the SOC induces oscillations in the spin and nematic expectation values as well as the bosonic Green's function. These nontrivial effects of an SOC are suppressed under the application of a large quadratic Zeeman field. We discuss how our results could be observed in experiments on ultracold gases of ^{23}Na in an optical lattice.
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spelling doaj.art-bfdb2c0404724071a12fcd76f5a4fc122024-04-12T16:50:49ZengAmerican Physical SocietyPhysical Review Research2643-15642020-03-012101325210.1103/PhysRevResearch.2.013252Strongly interacting spin-orbit coupled Bose-Einstein condensates in one dimensionSiddhartha SahaE. J. KönigJunhyun LeeJ. H. PixleyWe theoretically study dilute superfluidity of spin-1 bosons with antiferromagnetic interactions and synthetic spin-orbit coupling (SOC) in a one-dimensional lattice. Employing a combination of density matrix renormalization group and quantum field theoretical techniques we demonstrate the appearance of a robust superfluid spin-liquid phase in which the spin sector of this spinor Bose-Einstein condensate remains quantum disordered even after introducing quadratic Zeeman and helical magnetic fields. Despite remaining disordered, the presence of these symmetry-breaking fields lifts the perfect spin-charge separation and thus the nematic correlators obey power-law behavior. We demonstrate that, at strong coupling, the SOC induces a charge density wave state that is not accessible in the presence of linear and quadratic Zeeman fields alone. In addition, the SOC induces oscillations in the spin and nematic expectation values as well as the bosonic Green's function. These nontrivial effects of an SOC are suppressed under the application of a large quadratic Zeeman field. We discuss how our results could be observed in experiments on ultracold gases of ^{23}Na in an optical lattice.http://doi.org/10.1103/PhysRevResearch.2.013252
spellingShingle Siddhartha Saha
E. J. König
Junhyun Lee
J. H. Pixley
Strongly interacting spin-orbit coupled Bose-Einstein condensates in one dimension
Physical Review Research
title Strongly interacting spin-orbit coupled Bose-Einstein condensates in one dimension
title_full Strongly interacting spin-orbit coupled Bose-Einstein condensates in one dimension
title_fullStr Strongly interacting spin-orbit coupled Bose-Einstein condensates in one dimension
title_full_unstemmed Strongly interacting spin-orbit coupled Bose-Einstein condensates in one dimension
title_short Strongly interacting spin-orbit coupled Bose-Einstein condensates in one dimension
title_sort strongly interacting spin orbit coupled bose einstein condensates in one dimension
url http://doi.org/10.1103/PhysRevResearch.2.013252
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AT ejkonig stronglyinteractingspinorbitcoupledboseeinsteincondensatesinonedimension
AT junhyunlee stronglyinteractingspinorbitcoupledboseeinsteincondensatesinonedimension
AT jhpixley stronglyinteractingspinorbitcoupledboseeinsteincondensatesinonedimension