Emergent parallel transport and curvature in Hermitian and non-Hermitian quantum mechanics
Studies have shown that the Hilbert spaces of non-Hermitian systems require nontrivial metrics. Here, we demonstrate how evolution dimensions, in addition to time, can emerge naturally from a geometric formalism. Specifically, in this formalism, Hamiltonians can be interpreted as a Christoffel symbo...
Main Authors: | Chia-Yi Ju, Adam Miranowicz, Yueh-Nan Chen, Guang-Yin Chen, Franco Nori |
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Format: | Article |
Language: | English |
Published: |
Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften
2024-03-01
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Series: | Quantum |
Online Access: | https://quantum-journal.org/papers/q-2024-03-13-1277/pdf/ |
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