Spectral Properties of the Bose-Hubbard Model Within the Cluster Perturbation Theory in X-Operators Representation

被引：2

作者：

Kudashkin, Kirill ^{[1
]}

Nikolaev, Sergey ^{[1
,2
]}

Ovchinnikov, Sergey ^{[1
,2
]}

机构：

[1] Siberian Fed Univ, Krasnoyarsk 660041, Russia

[2] Russian Acad Sci, Kirensky Inst Phys, Siberian Branch, Krasnoyarsk 660036, Russia

来源：

JOURNAL OF SUPERCONDUCTIVITY AND NOVEL MAGNETISM | 2017年 / 30卷 / 01期

关键词：

Bose-Hubbard model; Ultracold gases; Cluster perturbation theory; Density of states; Spectral properties; SUPERFLUID; INSULATOR;

D O I：

10.1007/s10948-016-3781-y

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

We study the two-dimensional ultracold Bose gas in optical lattice. We use cluster perturbation theory based on Hubbard X-operators to calculate the spectral function and phase diagram of Bose-Hubbard model which is minimal model to describe behavior of ultracold gases in optical lattices. We have analyzed spectral properties of spinless bosons in a square lattice taking into account the short-range correlation.

引用

收藏

页码：103 / 107

页数：5

相关论文

共 16 条

[1] Many-body physics with ultracold gases [J].

Bloch, Immanuel ;

Dalibard, Jean ;

Zwerger, Wilhelm .

REVIEWS OF MODERN PHYSICS, 2008, 80 (03) :885-964

[2] Quantum Simulators [J].

Buluta, Iulia ;

Nori, Franco .

SCIENCE, 2009, 326 (5949) :108-111

[3] Monte Carlo study of the two-dimensional Bose-Hubbard model [J].

Capogrosso-Sansone, Barbara ;

Soeyler, Sebnem Guenes ;

Prokof'ev, Nikolay ;

Svistunov, Boris .

PHYSICAL REVIEW A, 2008, 77 (01)

[4] Dynamics and thermodynamics of the Bose-Hubbard model [J].

Elstner, N ;

Monien, H .

PHYSICAL REVIEW B, 1999, 59 (19) :12184-12187

[5]

FISHER MPA, 1989, PHYS REV B, V40, P546, DOI [10.1103/PhysRevB.40.546, 10.1063/1.38820]

[6] 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

[7] ELECTRON CORRELATIONS IN NARROW ENERGY BANDS [J].

HUBBARD, J .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1963, 276 (1364) :238-+

[8] Cold bosonic atoms in optical lattices [J].

Jaksch, D ;

Bruder, C ;

Cirac, JI ;

Gardiner, CW ;

Zoller, P .

PHYSICAL REVIEW LETTERS, 1998, 81 (15) :3108-3111

[9] Preparation of decoherence-free cluster states with optical superlattices [J].

Jiang, Liang ;

Rey, Ana Maria ;

Romero-Isart, Oriol ;

Garcia-Ripoll, Juan Jose ;

Sanpera, Anna ;

Lukin, Mikhail D. .

PHYSICAL REVIEW A, 2009, 79 (02)

[10] What is a quantum simulator? [J].

Johnson T.H. ;

Clark S.R. ;

Jaksch D. .

EPJ Quantum Technology, 2014, 1 (01)