Quantum walks as massless Dirac fermions in curved space-time
Quantum walks as massless Dirac fermions in curved space-time
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DOI：
10.1103/physreva.88.042301
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发表时间：
2013-10-01
影响因子：
2.9
通讯作者：
Debbasch, Fabrice
中科院分区：
文献类型：
--
作者：
Di Molfetta, Giuseppe;Brachet, M.;Debbasch, Fabrice
在一维物理空间中考虑了一类特定的与时间和空间相关的离散时间量子漫步（QW）。这些行走的连续极限是通过这里讨论的程序定义并详细计算的。在这个极限下，行走与无质量狄拉克费米子在任意引力场中的传播相一致。构造了一个量子阱，模拟了费米子在史瓦西黑洞视界内外的径向传播。因此，在我们的手稿中考虑的QW的家庭提供了一个模拟系统来研究实验相干量子传播弯曲时空。
A particular family of time- and space-dependent discrete-time quantum walks (QWs) is considered in one-dimensional physical space. The continuous limit of these walks is defined through a procedure discussed here and computed in full detail. In this limit, the walks coincide with the propagation of a massless Dirac fermion in an arbitrary gravitational field. A QW mimicking the radial propagation of a fermion outside and inside the event horizon of a Schwarzschild black hole is explicitly constructed and simulated numerically. Thus, the family of QWs considered in our manuscript provides an analog system to study experimentally coherent quantum propagation in curved spacetime.