Non-Hermitian Quantum Systems and Time-Optimal Quantum Evolution
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Non-Hermitian Quantum Systems and Time-Optimal Quantum Evolution
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| Creator |
Nesterov, A.I.
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| Description |
Recently, Bender et al. have considered the quantum brachistochrone problem for the non-Hermitian PT-symmetric quantum system and have shown that the optimal time evolution required to transform a given initial state |ψi> into a specific final state |ψf> can be made arbitrarily small. Additionally, it has been shown that finding the shortest possible time requires only the solution of the two-dimensional problem for the quantum system governed by the effective Hamiltonian acting in the subspace spanned by |ψi> and |ψf>. In this paper, we study a similar problem for the generic non-Hermitian Hamiltonian, focusing our attention on the geometric aspects of the problem.
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| Date |
2019-02-19T17:30:24Z
2019-02-19T17:30:24Z 2009 |
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| Type |
Article
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| Identifier |
Non-Hermitian Quantum Systems and Time-Optimal Quantum Evolution / A.I. Nesterov // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 42 назв. — англ.
1815-0659 2000 Mathematics Subject Classification: 81S10; 81V99; 53Z05 http://dspace.nbuv.gov.ua/handle/123456789/149118 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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