期刊
PHYSICAL REVIEW RESEARCH
卷 4, 期 2, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevResearch.4.023070
关键词
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资金
- Ministry of Science and Technology (MOST) [MOST 111-2112-M-110-007-MY2]
- National Center for Theoretical Sciences
- MOST [MOST 109-2112-M-029-006, MOST 110-2112-M-029-006, MOST 110-2123-M-006-001, MOST 110-2112-M-005-002]
- Polish National Science Centre (NCN) under Maestro Grant [DEC-2019/34/A/ST2/00081]
- Nippon Telegraph and Tele-phone Corporation (NTT) Research, the Japan Science and Technology Agency (JST) [Quantum Leap Flag-ship Program]
- Nippon Telegraph and Tele-phone Corporation (NTT) Research, the Japan Science and Technology Agency (JST) [Moonshot RD Grant] [JPMJMS2061]
- Japan Society for the Promotion of Science (JSPS) [JP20H00134]
- Army Research Office (ARO) [W911NF-18-1-0358]
- Asian Of-fice of Aerospace Research and Development (AOARD) [FA2386-20-1-4069]
- Foundational Questions Institute Fund (FQXi) [FQXi-IAF19-06]
We present a systematic study on the vielbein-like formalism for non-Hermitian quantum systems, which transforms the Hilbert space bundles into conventional ones, making the induced Hamiltonian Hermitian without altering the physics.
The formalism for non-Hermitian quantum systems sometimes blurs the underlying physics. We present a systematic study of the vielbeinlike formalism which transforms the Hilbert space bundles of non-Hermitian systems into the conventional ones, rendering the induced Hamiltonian to be Hermitian. In other words, any non-Hermitian Hamiltonian can be transformed into a Hermitian one without altering the physics. Thus we show how to find a reference frame (corresponding to Einstein's quantum elevator) in which a non-Hermitian system, equipped with a nontrivial Hilbert space metric, reduces to a Hermitian system within the standard formalism of quantum mechanics.
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