Low-energy dynamics of spinor condensates

Lamacraft, Austen

doi:10.1103/physrevb.81.184526

Cited by 40 publications

(33 citation statements)

References 29 publications

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“…In particular, it has led to the demonstration that, in the superfluid phase of spin-1 bosons on a lattice, the SU(2) symmetry is spontaneously broken, by contrast to the case of bosons in a single mode, which require an SU(2) symmetry-breaking interaction to build a polar condensate. It will be very interesting to investigate the implications of this result on the dynamics of spinor condensates [34] in the presence of a lattice.…”

Section: Introductionmentioning

confidence: 96%

Anderson Tower of States and Nematic Order of Spin-1 Bosonic Atoms on a 2D Lattice

2014

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We investigate the structure of the spectrum of antiferromagnetically coupled spin-1 bosons on a square lattice using degenerate perturbation theory and exact diagonalizations of finite clusters. We show that the superfluid phase develops an Anderson tower of states typical of nematic long-range order with broken SU (2) symmetry. We further show that this order persists into the Mott insulating phase down to zero hopping for one boson per site, and down to a critical hopping for two bosons per site, in agreement with mean-field and Quantum Monte Carlo results. The connection with the transition between a fragmented condensate and a polar one in a single trap is briefly discussed.

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Section: Introductionmentioning

confidence: 96%

Anderson Tower of States and Nematic Order of Spin-1 Bosonic Atoms on a 2D Lattice

2014

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“…However, the Berkeley experiment [16] shows that the magnetization is not fully polarized over the entire condensate. Meanwhile, the Majorana representation has been employed to describe general spin states [23,24]. Barnett et.…”

Section: Introductionmentioning

confidence: 99%

“…al. [23] have developed the mean-field hydrodynamic equations that involve the Landau-Lifshitz equations for the spin-node vectors and reproduce collective excitations from the viewpoint of the point-group symmetry, while Lamacraft [24] has derived the low-energy Lagrangian and obtained the spin-wave spectra. In this paper, we derive the most general mean-field hydrodynamic equations for spin-1 BECs that are equivalent to the multi-component GP equations and expressed in terms of observable quantities such as the magnetization vector and the nematic (or quadrupolar) tensor.…”

Section: Introductionmentioning

confidence: 99%

Hydrodynamic description of spin-1 Bose-Einstein condensates

Yukawa

Ueda

2012

Phys. Rev. A

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We establish a complete set of hydrodynamic equations for a spin-1 Bose-Einstein condensate (BEC), which are equivalent to the multi-component Gross-Pitaevskii equations and expressed in terms of only observable physical quantities: the spin density and the nematic (or quadrupolar) tensor in addition to the density and the mass current that appear in the hydrodynamic description of a scalar BEC. The obtained hydrodynamic equations involve a generalized Mermin-Ho relation that is valid regardless of the spatiotemporal dependence of the spin polarization. Low-lying collective modes for phonons and magnons are reproduced by linearizing the hydrodynamic equations.We also apply the single-mode approximation to the hydrodynamic equations and find a complete set of analytic solutions.

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“…To gain further insight, we express each <J>(L) in Majorana representation as a set of 2L points (referred to as Majorana points) on the unit sphere S2 [11,[13][14][15], To accomplish it, we use the Schwinger bosons representation of angular momentum states,…”

Section: M=-lmentioning

confidence: 99%

Local spin structure of large spin fermions

Huang

2015

Phys. Rev. A

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We show that large spin fermions have very rich spin structures. The local spin order of a sp in -/ Fermi gas is a linear combination of 2 / (particle-hole) angular momentum states, L = 1........2 / . L = 1,2 represent ferromagnetic and nematic spin order, while L ^ 3 are higher spin orders that have no analog in spin-1 /2 systems. Each L spin sector is characterized as L pairs of antipodal points on a sphere. Model calculations show that some of these spin orders have the symmetry of Platonic solid, and many of them have non-Abelian line defects.

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Low-energy dynamics of spinor condensates

Cited by 40 publications

References 29 publications

Anderson Tower of States and Nematic Order of Spin-1 Bosonic Atoms on a 2D Lattice

Anderson Tower of States and Nematic Order of Spin-1 Bosonic Atoms on a 2D Lattice

Hydrodynamic description of spin-1 Bose-Einstein condensates

Local spin structure of large spin fermions

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