Quantum Simulations with Complex Geometries and Synthetic Gauge Fields in a Trapped Ion Chain

被引:20
|
作者
Manovitz, Tom [1 ]
Shapira, Yotam [1 ]
Akerman, Nitzan [1 ]
Stern, Ady [2 ]
Ozeri, Roee [1 ]
机构
[1] Weizmann Inst Sci, Dept Phys Complex Syst, IL-7610001 Rehovot, Israel
[2] Weizmann Inst Sci, Dept Condensed Matter Phys, IL-7610001 Rehovot, Israel
来源
PRX QUANTUM | 2020年 / 1卷 / 02期
关键词
EDGE STATES; ENTANGLEMENT; DYNAMICS; PROPAGATION; ELECTRONS; CURRENTS; GATES;
D O I
10.1103/PRXQuantum.1.020303
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In recent years, arrays of atomic ions in a linear radio-frequency trap have proven to be a particularly successful platform for quantum simulation. However, a wide range of quantum models and phenomena have, so far, remained beyond the reach of such simulators. In this work we introduce a technique that can substantially extend this reach using an external field gradient along the ion chain and a global, uniform driving field. The technique can be used to generate both static and time-varying synthetic gauge fields in a linear chain of trapped ions, and enables continuous simulation of a variety of coupling geometries and topologies, including periodic boundary conditions and high-dimensional Hamiltonians. We describe the technique, derive the corresponding effective Hamiltonian, propose a number of variations, and discuss the possibility of scaling to quantum-advantage-sized simulators. Additionally, we suggest several possible implementations and briefly examine two: the Aharonov-Bohm ring and the frustrated triangular ladder.
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页数:13
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