Floquet approach to Z2 lattice gauge theories with ultracold atoms in optical lattices

被引：278

作者：

Schweizer, Christian ^{[1
,2
,3
]}

Grusdt, Fabian ^{[3
,4
]}

Berngruber, Moritz ^{[1
,3
]}

Barbiero, Luca ^{[5
]}

Demler, Eugene ^{[6
]}

Goldman, Nathan ^{[5
]}

Bloch, Immanuel ^{[1
,2
,3
]}

Aidelsburger, Monika ^{[1
,2
,3
]}

机构：

[1] Ludwig Maximilians Univ Munchen, Fak Phys, Munich, Germany

[2] Max Planck Inst Quantum Opt, Garching, Germany

[3] Munich Ctr Quantum Sci & Technol, Munich, Germany

[4] Tech Univ Munich, Dept Phys, Garching, Germany

[5] Univ Libre Bruxelles, Ctr Nonlinear Phenomena & Complex Syst, Brussels, Belgium

[6] Harvard Univ, Dept Phys, Cambridge, MA 02138 USA

来源：

NATURE PHYSICS | 2019年 / 15卷 / 11期

关键词：

QUANTUM SIMULATIONS; SYSTEMS;

D O I：

10.1038/s41567-019-0649-7

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Quantum simulation has the potential to investigate gauge theories in strongly interacting regimes, which are currently inaccessible through conventional numerical techniques. Here, we take a first step in this direction by implementing a Floquet-based method for studying Z(2) I lattice gauge theories using two-component ultracold atoms in a double-well potential. For resonant periodic driving at the on-site interaction strength and an appropriate choice of the modulation parameters, the effective Floquet Hamiltonian exhibits Z(2) I symmetry. We study the dynamics of the system for different initial states and critically contrast the observed evolution with a theoretical analysis of the full time-dependent Hamiltonian of the periodically driven lattice model. We reveal challenges that arise due to symmetry-breaking terms and outline potential pathways to overcome these limitations. Our results provide important insights for future studies of lattice gauge theories based on Floquet techniques.

引用

页码：1168 / 1173

页数：6

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