Magnetic-field-induced dynamical instabilities in an antiferromagnetic spin-1 Bose-Einstein condensate

Pu, Zhengguo; Zhang, Jun; Yi, Su; Wang, Dajun; Zhang, Wenxian

doi:10.1103/physreva.93.053628

Cited by 9 publications

(8 citation statements)

References 51 publications

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“…The symbol DW(ρ A ρ B ) implies the CDW phase having occupation densities, ρ A (corresponding to sublattice A) and ρ B (corresponding to sublattice B) with average occupation density,ρ = (1/2)[ρ A + ρ B ]. The SS phase, which not only appears along with the DW(21) and DW (32) phases, but also exists along with the DW(10) phase forρ < 1/2, as was predicted earlier through quantum Monte Carlo (QMC) studies in ref. [48].…”

Section: Resultssupporting

confidence: 77%

“…Apart from all these activities, a large number of review articles on the spinor Bose gas exist that emphasizes the studies in presence of disorder, [28,29] external magnetic field through the linear [30][31][32] and quadratic Zeeman strengths, [30,[33][34][35][36] spinorbit couplings (SOC) [37][38][39][40][41] and synthetic magnetic fields [42] etc. Among them, the inclusion of SOC after its recent experimental www.advancedsciencenews.com www.ann-phys.org realization using Raman coupling between hyperfine levels [43] gives rise to more than one minima in the single particle dispersion relation which leads to different exotic ground state structures like plane and standing wave [37] and various striped ferromagnetic phases.…”

Section: Introductionmentioning

confidence: 99%

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Spin‐1 Bose Hubbard Model with Nearest Neighbour Extended Interaction

Nabi

Basu

2017

Annalen der Physik

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A spinor (F = 1) Bose gas is studied in presence of a density-density interaction through a mean field approach and a perturbation theory for either sign of the spin dependent interaction, namely the antiferromagnetic (AF) and the ferromagnetic cases. In the AF case, the charge density wave (CDW) phase appears to be sandwiched between the Mott insulating (MI) and the supersolid phases for small values of the extended interaction strength. But the CDW phase completely occupies the MI lobe when the extended interaction strength is larger than a certain critical value related to the width of the MI lobes and hence opens up the possibilities of spin singlet and nematic CDW insulating phases. In the ferromagnetic case, the phase diagram shows similar features as that of the AF case and are in complete agreement with a spin-0 Bose gas. The perturbation expansion calculations nicely corroborate the mean field phase results in both these cases. Further, we extend our calculations in presence of a harmonic confinement and obtained the momentum distribution profile that is related to the absorption spectra in order to distinguish between different phases.

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Section: Resultssupporting

confidence: 77%

Section: Introductionmentioning

confidence: 99%

Spin‐1 Bose Hubbard Model with Nearest Neighbour Extended Interaction

Nabi

Basu

2017

Annalen der Physik

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“…To implement the RE protocol in spin-1 BEC experiments, the applied driving field can be as small as ∼ 1 mG for a magnetic shield room and ∼ 10 mG for an ordinary laboratory, much smaller than the field applied in standard Hahn spin echo experiments (∼ 100 mG) [3,11,12,23]. Our results provide a practical method to control the stray magneticfield effect in spinor BEC experiments and may find wide applications in precision measurement and quantum metrology, quantum phase transition, and ground-state properties in spinor Bose condensates [3,37,49]. The comparisons are shown in Fig.…”

Section: Discussionmentioning

confidence: 82%

Preserving coherent spin and squeezed spin states of a spin-1 Bose-Einstein condensate with rotary echoes

Zhang

Han

et al. 2016

Phys. Rev. A

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A challenge in precision measurement with squeezed spin state arises from the spin dephasing due to stray magnetic fields. To suppress such environmental noises, we employ a continuous driving protocol, rotary echo, to enhance the spin coherence of a spin-1 Bose-Einstein condensate in stray magnetic fields. Our analytical and numerical results show that the coherent and the squeezed spin states are preserved for a significantly long time, compared to the free induction decay time, if the condition hτ = mπ is met with h the pulse amplitude and τ pulse width. In particular, both the spin average and the spin squeezing, including the direction and the amplitude, are simultaneously fixed for a squeezed spin state. Our results point out a practical way to implement quantum measurements based on a spin-1 condensate beyond the standard quantum limit.

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“…[68][69][70][71] Concurrently, experimental efforts have been made to prepare the spin-singlet state and study the spin mixing dynamics using spinor BEC. [72][73][74][75][76][77][78] Since then many extensions of the SBHM have been proposed theoretically to explore the consequences of the disorder, [79,80] Zeeman and synthetic magnetic fields, [81][82][83][84][85] SOC, [86][87][88][89] extended interactions [47,90] etc. in presence of the two-body interaction potential.…”

Section: Introductionmentioning

confidence: 99%

Interplay of the Staggered and Three‐Body Interaction Potentials on the Quantum Phases of a Spin‐1 Ultracold Atom in an Optical Lattice

Nabi

2022

Annalen der Physik

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The interplay of the staggered and the three‐body interaction potentials on the quantum phases of a spin‐1 Bose Hubbard model using a mean field approximation (MFA) is studied. In the antiferromagnetic (AF) case, a smaller value of the staggered potential (SP) results in the charge and the spin density wave ordering along with the Mott insulator (MI) and the staggered superfluid (SSF) phases. While the competition between two types of the potential leads to the stabilization of the higher order MI and charge density wave (CDW) phases with increasing three‐body interaction strength. Further, the spin eigenvalue and nematic order parameters are calculated to scrutinize the spin singlet‐nematic formation in the MI and the CDW phases and spin population fractions to analyze the nature of the SSF phase. A signature of the spin density wave (SDW) pattern is also observed in the gapped phase lobes. In case of a purely three‐body interaction, the third and higher order insulating lobes become dominant with increasing staggered potential strength. Subsequently, all MFA phase diagrams are then nicely corroborated with the analytical results obtained using a perturbative expansion corresponding to the AF and ferromagnetic cases.

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Magnetic-field-induced dynamical instabilities in an antiferromagnetic spin-1 Bose-Einstein condensate

Cited by 9 publications

References 51 publications

Spin‐1 Bose Hubbard Model with Nearest Neighbour Extended Interaction

Spin‐1 Bose Hubbard Model with Nearest Neighbour Extended Interaction

Preserving coherent spin and squeezed spin states of a spin-1 Bose-Einstein condensate with rotary echoes

Interplay of the Staggered and Three‐Body Interaction Potentials on the Quantum Phases of a Spin‐1 Ultracold Atom in an Optical Lattice

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