Variational theory for the ground state and collective excitations of an elongated dipolar condensate

被引：24

作者：

Blakie, P. Blair ^{[1
,2
]}

Baillie, D. ^{[1
,2
]}

Pal, Sukla ^{[1
,2
]}

机构：

[1] Univ Otago, Dodd Walls Ctr Photon & Quantum Technol, Dunedin 9016, New Zealand

[2] Univ Otago, Dept Phys, Dunedin 9016, New Zealand

来源：

COMMUNICATIONS IN THEORETICAL PHYSICS | 2020年 / 72卷 / 08期

关键词：

dipolar Bose-Einstein condensate; ground states; collective excitations; QUANTUM; DROPLETS;

D O I：

10.1088/1572-9494/ab95fa

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We develop a variational theory for a dipolar condensate in an elongated (cigar shaped) confinement potential. Our formulation provides an effective one-dimensional extended meanfield theory for the ground state and its collective excitations. We apply our theory to investigate the properties of rotons in the system comparing the variational treatment to a full numerical solution. We consider the effect of quantum fluctuations on the scattering length at which the roton excitation softens to zero energy.

引用

页数：8

共 46 条

[1] Bose-Einstein Condensation of Erbium [J].

Aikawa, K. ;

Frisch, A. ;

Mark, M. ;

Baier, S. ;

Rietzler, A. ;

Grimm, R. ;

Ferlaino, F. .

PHYSICAL REVIEW LETTERS, 2012, 108 (21)

[2] Efficient spectral computation of the stationary states ofrotating Bose-Einstein condensates by preconditioned nonlinear conjugate gradient methods [J].

Antoine, Xavier ;

Levitt, Antoine ;

Tang, Qinglin .

JOURNAL OF COMPUTATIONAL PHYSICS, 2017, 343 :92-109

[3] Collective Excitations of Self-Bound Droplets of a Dipolar Quantum Fluid [J].

Baillie, D. ;

Wilson, R. M. ;

Blakie, P. B. .

PHYSICAL REVIEW LETTERS, 2017, 119 (25)

[4] A general theory of flattened dipolar condensates [J].

Baillie, D. ;

Blakie, P. B. .

NEW JOURNAL OF PHYSICS, 2015, 17

[5] Efficient numerical methods for computing ground states and dynamics of dipolar Bose-Einstein condensates [J].

Bao, Weizhu ;

Cai, Yongyong ;

Wang, Hanquan .

JOURNAL OF COMPUTATIONAL PHYSICS, 2010, 229 (20) :7874-7892

[6] Ground-state phase diagram of a dipolar condensate with quantum fluctuations [J].

Bisset, R. N. ;

Wilson, R. M. ;

Baillie, D. ;

Blakie, P. B. .

PHYSICAL REVIEW A, 2016, 94 (03)

[7] Fingerprinting Rotons in a Dipolar Condensate: Super-Poissonian Peak in the Atom-Number Fluctuations [J].

Bisset, R. N. ;

Blakie, P. B. .

PHYSICAL REVIEW LETTERS, 2013, 110 (26)

[8] Roton spectroscopy in a harmonically trapped dipolar Bose-Einstein condensate [J].

Blakie, P. B. ;

Baillie, D. ;

Bisset, R. N. .

PHYSICAL REVIEW A, 2012, 86 (02)

[9] Dilute dipolar quantum droplets beyond the extended Gross-Pitaevskii equation [J].

Boettcher, Fabian ;

Wenzel, Matthias ;

Schmidt, Jan-Niklas ;

Guo, Mingyang ;

Langen, Tim ;

Ferrier-Barbut, Igor ;

Pfau, Tilman ;

Bombin, Raul ;

Sanchez-Baena, Joan ;

Boronat, Jordi ;

Mazzanti, Ferran .

PHYSICAL REVIEW RESEARCH, 2019, 1 (03)

[10] Transient Supersolid Properties in an Array of Dipolar Quantum Droplets [J].

Boettcher, Fabian ;

Schmidt, Jan-Niklas ;

Wenzel, Matthias ;

Hertkorn, Jens ;

Guo, Mingyang ;

Langen, Tim ;

Pfau, Tilman .

PHYSICAL REVIEW X, 2019, 9 (01)

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