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arXiv 1604.03124quant-phcond-mat.quant-gashep-lat
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(1+1)D晶格QED离子阱的模拟量子模拟

Analog Quantum Simulation of (1+1)D Lattice QED with Trapped Ions

Dayou Yang, Gouri Shankar Giri, Michael Johanning, Christof Wunderlich, Peter Zoller, Philipp Hauke

摘要:

量子模拟格点规范理论的前景为理解物质的基本形式开辟了令人兴奋的可能性。在这里,我们表明,被困离子在这种情况下,同时利用内部赝自旋和外部声子振动时,代表一个有前途的平台。我们说明了我们的想法与两个互补的建议,模拟晶格正则化量子电动力学(QED)在(1+1)时空维度。第一个方案用高占据数的局域振动代替规范场。通过数值的有限尺寸标度,我们证明了该模型以受控的方式恢复了Wilson的格点规范理论。它的实现可以在微阱阵列中放大到数十个离子。第二种方案用自旋1/2表示规范场,从而模拟了量子链模型。正如我们所展示的,这使得费米子物质可以被玻色子自由度所取代,从而允许在线性保罗陷阱中进行小规模的实现。这两种方案的工作能量尺度显着大于典型的退相干率在实验中,从而使调查的现象,如字符串断裂,科尔曼的量子相变,和假真空衰变。所提出的模拟仿真方案的基本思想也可以适用于其他平台,例如超导量子比特。

英文摘要:

The prospect of quantum simulating lattice gauge theories opens exciting possibilities for understanding fundamental forms of matter. Here, we show that trapped ions represent a promising platform in this context when simultaneously exploiting internal pseudo-spins and external phonon vibrations. We illustrate our ideas with two complementary proposals for simulating lattice-regularized quantum electrodynamics (QED) in (1+1) space-time dimensions. The first scheme replaces the gauge fields by local vibrations with a high occupation number. By numerical finite-size scaling, we demonstrate that this model recovers Wilson's lattice gauge theory in a controlled way. Its implementation can be scaled up to tens of ions in an array of micro-traps. The second scheme represents the gauge fields by spins 1/2, and thus simulates a quantum link model. As we show, this allows the fermionic matter to be replaced by bosonic degrees of freedom, permitting small-scale implementations in a linear Paul trap. Both schemes work on energy scales significantly larger than typical decoherence rates in experiments, thus enabling the investigation of phenomena such as string breaking, Coleman's quantum phase transition, and false-vacuum decay. The underlying ideas of the proposed analog simulation schemes may also be adapted to other platforms, such as superconducting qubits.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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