Effects of an attractive three-body interaction on a spin-1 Bose Hubbard model

被引：1

作者：

Nabi, Sk Noor ^{[1
,2
,3
]}

Basu, Saurabh ^{[1
]}

机构：

[1] Indian Inst Technol Guwahati, Dept Phys, Gauhati 781039, Assam, India

[2] Zhejiang Univ, Zhejiang Inst Modern Phys, 38 Zheda Rd, Hangzhou 310027, Zhejiang, Peoples R China

[3] Zhejiang Univ, Dept Phys, 38 Zheda Rd, Hangzhou 310027, Zhejiang, Peoples R China

来源：

LASER PHYSICS | 2019年 / 29卷 / 07期

关键词：

ultracold atoms; Bose Hubbard model; superfluid; Mott insulator; GAS;

D O I：

10.1088/1555-6611/ab174b

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We study the effects of an attractive three-body interaction potential on a spin-1 ultracold Bose gas using the mean field approach (MFA). For an antiferromagnetic interaction, the third Mott insulator (MI) lobe is predominantly affected, where it completely engulfs the second and the fourth MI lobes at large values of interaction strength. However, no significant change is observed beyond the fourth MI lobe. The formation of the spin singlet (nematic) MI phase and the different order of phase transitions to the superfluid phase have been carefully scrutinized with the help of spin eigenvalues and the spin nematic order parameter. In the ferromagnetic case, the phase diagram shows similar features to that of a scalar Bose gas. We have compared our results on the MFA phase diagrams for both types of interaction potential via a perturbation expansion in both cases.

引用

页数：7

共 40 条

[1] Magnetic and Superfluid Transitions in the One-Dimensional Spin-1 Boson Hubbard Model [J].

Batrouni, G. G. ;

Rousseau, V. G. ;

Scalettar, R. T. .

PHYSICAL REVIEW LETTERS, 2009, 102 (14)

[2] Synthetic Gauge Fields in Synthetic Dimensions [J].

Celi, A. ;

Massignan, P. ;

Ruseckas, J. ;

Goldman, N. ;

Spielman, I. B. ;

Juzeliunas, G. ;

Lewenstein, M. .

PHYSICAL REVIEW LETTERS, 2014, 112 (04)

[3] Competing exotic quantum phases of spin-1/2 ultracold lattice bosons with extended spin interactions [J].

Chang, Chia-Chen ;

Rousseau, Valery G. ;

Scalettar, Richard T. ;

Batrouni, George G. .

PHYSICAL REVIEW B, 2015, 92 (05)

[4] Interacting spin-1 bosons in a two-dimensional optical lattice [J].

de Parny, L. de Forges ;

Hebert, F. ;

Rousseau, V. G. ;

Batrouni, G. G. .

PHYSICAL REVIEW B, 2013, 88 (10)

[5] Ground-state phase diagram of spin-1/2 bosons in a two-dimensional optical lattice [J].

de Parny, L. de Forges ;

Hebert, F. ;

Rousseau, V. G. ;

Scalettar, R. T. ;

Batrouni, G. G. .

PHYSICAL REVIEW B, 2011, 84 (06)

[6] Phase diagram of spin-1/2 bosons in a one-dimensional optical lattice [J].

de Parny, L. de Forges ;

Traynard, M. ;

Hebert, F. ;

Rousseau, V. G. ;

Scalettar, R. T. ;

Batrouni, G. G. .

PHYSICAL REVIEW A, 2010, 82 (06)

[7] Spinor bosonic atoms in optical lattices: Symmetry breaking and fractionalization [J].

Demler, E ;

Zhou, F .

PHYSICAL REVIEW LETTERS, 2002, 88 (16) :4

[8] Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms [J].

Greiner, M ;

Mandel, O ;

Esslinger, T ;

Hänsch, TW ;

Bloch, I .

NATURE, 2002, 415 (6867) :39-44

[9] Spin-1 Bose-Hubbard model with two- and three-body interactions [J].

Hincapie-F, A. F. ;

Franco, R. ;

Silva-Valencia, J. .

PHYSICS LETTERS A, 2018, 382 (26) :1760-1765

[10] Mott lobes of the S=1 Bose-Hubbard model with three-body interactions [J].

Hincapie-F, A. F. ;

Franco, R. ;

Silva-Valencia, J. .

PHYSICAL REVIEW A, 2016, 94 (03)

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