Ground states of a Bose-Hubbard ladder in an artificial magnetic field: field-theoretical approach

被引：91

作者：

Tokuno, Akiyuki ^{[1
,2
]}

Georges, Antoine ^{[1
,2
,3
]}

机构：

[1] Ecole Polytech, CNRS, Ctr Phys Theor, F-91128 Palaiseau, France

[2] Coll France, F-75005 Paris, France

[3] Univ Geneva, DPMC, CH-1211 Geneva, Switzerland

来源：

NEW JOURNAL OF PHYSICS | 2014年 / 16卷

基金：

欧洲研究理事会; 瑞士国家科学基金会;

关键词：

ultra-cold atoms; Bose-Hubbard model; artificial magnetic field; bosonization; phase diagram; JOSEPHSON-JUNCTION LADDERS; CONTINUOUS SYMMETRY GROUP; LONG-RANGE ORDER; 2-DIMENSIONAL SYSTEMS; PHASE-TRANSITIONS; QUANTUM; DESTRUCTION;

D O I：

10.1088/1367-2630/16/7/073005

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider a Bose-Hubbard ladder subject to an artificial magnetic flux and discuss its different ground states, their physical properties, and the quantum phase transitions between them. A low-energy effective field theory is derived, in the two distinct regimes of a small and large magnetic flux, using a bosonization technique starting from the weak-coupling limit. Based on this effective field theory, the ground-state phase diagram at a filling of one particle per site is investigated for a small flux and for a flux equal to pi per plaquette. For pi-flux, this analysis reveals a tricritical point, which has been overlooked in previous studies. In addition, the Mott insulating state at a small magnetic flux is found to display Meissner currents.

引用

页数：24

共 47 条

[1] Experimental realization of strong effective magnetic fields in optical superlattice potentials [J].

Aidelsburger, M. ;

Atala, M. ;

Nascimbene, S. ;

Trotzky, S. ;

Chen, Y. -A. ;

Bloch, I. .

APPLIED PHYSICS B-LASERS AND OPTICS, 2013, 113 (01) :1-11

[2] Experimental Realization of Strong Effective Magnetic Fields in an Optical Lattice [J].

Aidelsburger, M. ;

Atala, M. ;

Nascimbene, S. ;

Trotzky, S. ;

Chen, Y. -A. ;

Bloch, I. .

PHYSICAL REVIEW LETTERS, 2011, 107 (25)

[3]

Atala M, 2014, ARXIV14020819

[4] The spin Hall effect in a quantum gas [J].

Beeler, M. C. ;

Williams, R. A. ;

Jimenez-Garcia, K. ;

LeBlanc, L. J. ;

Perry, A. R. ;

Spielman, I. B. .

NATURE, 2013, 498 (7453) :201-+

[5]

BEREZINSKII VL, 1972, SOV PHYS JETP-USSR, V34, P610

[6]

BEREZINSKII VL, 1971, SOV PHYS JETP-USSR, V32, P493

[7] QUANTAL PHASE-FACTORS ACCOMPANYING ADIABATIC CHANGES [J].

BERRY, MV .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1984, 392 (1802) :45-57

[8] Spinless fermionic ladders in a magnetic field: Phase diagram [J].

Carr, Sam T. ;

Narozhny, Boris N. ;

Nersesyan, Alexander A. .

PHYSICAL REVIEW B, 2006, 73 (19)

[9] One dimensional bosons: From condensed matter systems to ultracold gases [J].

Cazalilla, M. A. ;

Citro, R. ;

Giamarchi, T. ;

Orignac, E. ;

Rigol, M. .

REVIEWS OF MODERN PHYSICS, 2011, 83 (04) :1405-1466

[10] Bosonizing one-dimensional cold atomic gases [J].

Cazalilla, MA .

JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS, 2004, 37 (07) :S1-S47

← 1 2 3 4 5 →