Synchronizing the simplest classical system and then quantizing it
We propose a discrete synchronization model of a finite d-level system and discuss what happens once superposition of states is allowed. The model exhibits various asymptotic behaviors that depend on the initial state. In particular, two antagonistic phenomena can occur: a transition into a product...
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| Format: | Article |
| Language: | English |
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American Physical Society
2020-08-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.2.033289 |
| _version_ | 1797211311977791488 |
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| author | Paweł Kurzyński |
| author_facet | Paweł Kurzyński |
| author_sort | Paweł Kurzyński |
| collection | DOAJ |
| description | We propose a discrete synchronization model of a finite d-level system and discuss what happens once superposition of states is allowed. The model exhibits various asymptotic behaviors that depend on the initial state. In particular, two antagonistic phenomena can occur: a transition into a product of two basis states and an entanglement generation. Next, we generalize this model and show that it is possible to phase lock a periodic dynamics of a single qubit to a periodic dynamics of a single qudit. Finally, we present a spin system whose dynamics is a continuous-time analog of the above discrete model. |
| first_indexed | 2024-04-24T10:24:29Z |
| format | Article |
| id | doaj.art-07588bbf77054d359bd88da70401a24d |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:24:29Z |
| publishDate | 2020-08-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-07588bbf77054d359bd88da70401a24d2024-04-12T16:59:22ZengAmerican Physical SocietyPhysical Review Research2643-15642020-08-012303328910.1103/PhysRevResearch.2.033289Synchronizing the simplest classical system and then quantizing itPaweł KurzyńskiWe propose a discrete synchronization model of a finite d-level system and discuss what happens once superposition of states is allowed. The model exhibits various asymptotic behaviors that depend on the initial state. In particular, two antagonistic phenomena can occur: a transition into a product of two basis states and an entanglement generation. Next, we generalize this model and show that it is possible to phase lock a periodic dynamics of a single qubit to a periodic dynamics of a single qudit. Finally, we present a spin system whose dynamics is a continuous-time analog of the above discrete model.http://doi.org/10.1103/PhysRevResearch.2.033289 |
| spellingShingle | Paweł Kurzyński Synchronizing the simplest classical system and then quantizing it Physical Review Research |
| title | Synchronizing the simplest classical system and then quantizing it |
| title_full | Synchronizing the simplest classical system and then quantizing it |
| title_fullStr | Synchronizing the simplest classical system and then quantizing it |
| title_full_unstemmed | Synchronizing the simplest classical system and then quantizing it |
| title_short | Synchronizing the simplest classical system and then quantizing it |
| title_sort | synchronizing the simplest classical system and then quantizing it |
| url | http://doi.org/10.1103/PhysRevResearch.2.033289 |
| work_keys_str_mv | AT pawełkurzynski synchronizingthesimplestclassicalsystemandthenquantizingit |