Non-Hermitian dynamics in the quantum Zeno limit
We show that weak measurement leads to unconventional quantum Zeno dynamics with Raman-like transitions via virtual states outside the Zeno subspace. We extend this concept into the realm of non-Hermitian dynamics by showing that the stochastic competition between measurement and a system's own...
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| Format: | Journal article |
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American Physical Society
2016
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| _version_ | 1797078602611687424 |
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| author | Kozlowski, W Caballero-Benitez, S Mekhov, I |
| author_facet | Kozlowski, W Caballero-Benitez, S Mekhov, I |
| author_sort | Kozlowski, W |
| collection | OXFORD |
| description | We show that weak measurement leads to unconventional quantum Zeno dynamics with Raman-like transitions via virtual states outside the Zeno subspace. We extend this concept into the realm of non-Hermitian dynamics by showing that the stochastic competition between measurement and a system's own dynamics can be described by a non-Hermitian Hamiltonian. We obtain a solution for ultracold bosons in a lattice and show that a dark state of tunneling is achieved as a steady state in which the observable's fluctuations are zero and tunneling is suppressed by destructive matter-wave interference. |
| first_indexed | 2024-03-07T00:34:12Z |
| format | Journal article |
| id | oxford-uuid:80d36bae-5291-4d7d-89a4-3687c1137211 |
| institution | University of Oxford |
| last_indexed | 2024-03-07T00:34:12Z |
| publishDate | 2016 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | oxford-uuid:80d36bae-5291-4d7d-89a4-3687c11372112022-03-26T21:26:07ZNon-Hermitian dynamics in the quantum Zeno limitJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:80d36bae-5291-4d7d-89a4-3687c1137211Symplectic Elements at OxfordAmerican Physical Society2016Kozlowski, WCaballero-Benitez, SMekhov, IWe show that weak measurement leads to unconventional quantum Zeno dynamics with Raman-like transitions via virtual states outside the Zeno subspace. We extend this concept into the realm of non-Hermitian dynamics by showing that the stochastic competition between measurement and a system's own dynamics can be described by a non-Hermitian Hamiltonian. We obtain a solution for ultracold bosons in a lattice and show that a dark state of tunneling is achieved as a steady state in which the observable's fluctuations are zero and tunneling is suppressed by destructive matter-wave interference. |
| spellingShingle | Kozlowski, W Caballero-Benitez, S Mekhov, I Non-Hermitian dynamics in the quantum Zeno limit |
| title | Non-Hermitian dynamics in the quantum Zeno limit |
| title_full | Non-Hermitian dynamics in the quantum Zeno limit |
| title_fullStr | Non-Hermitian dynamics in the quantum Zeno limit |
| title_full_unstemmed | Non-Hermitian dynamics in the quantum Zeno limit |
| title_short | Non-Hermitian dynamics in the quantum Zeno limit |
| title_sort | non hermitian dynamics in the quantum zeno limit |
| work_keys_str_mv | AT kozlowskiw nonhermitiandynamicsinthequantumzenolimit AT caballerobenitezs nonhermitiandynamicsinthequantumzenolimit AT mekhovi nonhermitiandynamicsinthequantumzenolimit |