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Quantum Simulation
Locally finite free space as limiting case of PT-symmetric medium
arXiv
Authors: Mohammad Hasan, Mohammad Umar, Bhabani Prasad Mandal
Year
2021
Paper ID
40123
Status
Preprint
Abstract Read
~2 min
Abstract Words
96
Citations
N/A
Abstract
We explicitly prove that the transfer matrix of a finite layered PT-symmetric system of fix length L consisting of N units of the potential system `+iV' and `-iV' of equal thickness becomes a unit matrix in the limit N → infty. This result is true for waves of arbitrary wave vector k. This shows that in this limit, the transmission coefficient is always unity while the reflection amplitude is zero for all waves traversing this length L. Therefore, a free space of finite length L can be represented as a PT-symmetric medium.
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- We explicitly prove that the transfer matrix of a finite layered PT-symmetric system of fix length L consisting of N units of the potential system `+iV' and `-iV' of equal...
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