While these phenomena have been extensively explored in quantum sciences and technologies 2, 3, 4, 5, 8, 23, 24, 25, 26, 27, peculiar theoretical tools are often required to study non-Hermitian physics.
#Curved space platforms skin#
System-environment couplings lead to a plethora of intriguing non-Hermitian phenomena 1, 2, 3, 4, 5, 6, 7, 8, 9, such as non-orthogonal eigenstates, the non-Hermitian skin effect 10, 11, 12, 13, 14, 15, 16, real energy spectra in certain parameter regimes 17, 18, collapsed energy spectra, and coalesced eigenstates at an exceptional point (EP) 12, 19, 20, and drastic responses to boundary conditions 21, 22. In practice, it provides experimentalists with a powerful two-fold application, using non-Hermiticity to engineer curvatures or implementing synthetic curved spaces to explore non-Hermitian quantum physics. Such a duality unfolds deep geometric roots of non-Hermitian phenomena, delivers an unprecedented routine connecting Hermitian and non-Hermitian physics, and gives rise to a theoretical perspective reformulating our understandings of curvatures and distance. For instance, prototypical one-dimensional (1D) chains with uniform chiral tunnelings are equivalent to their duals in two-dimensional (2D) hyperbolic spaces with or without magnetic fields, and non-uniform tunnelings could further tailor local curvatures. Whereas these intriguing phenomena have been considered peculiar to non-Hermitian systems, we show that they can be naturally explained by a duality between non-Hermitian models in flat spaces and their counterparts, which could be Hermitian, in curved spaces.
#Curved space platforms Ps4#
Extraordinary non-Hermitian phenomena, ranging from the non-Hermitian skin effect to the supersensitivity to boundary conditions, have been widely explored. Curved Space (PS4) Buy on Amazon Show game review Genres: Arcade Release: JPlatform: PS4 Price: 19.99 (PlayStation Store) Size: 1. Quantum systems are often classified into Hermitian and non-Hermitian ones. Platform: Nintendo Switch Supported Languages: Japanese, French, German, Italian, Spanish, Korean, Russian, Chinese, Portuguese, and. To study the coupling effect of spinor and space-time, we need the energy-momentum tensor (EMT) of spinor in curved space-time.
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