The Quantum Cheshire Cat Effect in the Presence of Decoherence
Even the subtle and apparently strange quantum effects can sometimes survive otherwise lethal influence of an omnipresent decoherence. We show that an archetypal quantum Cheshire Cat, a paradox of a separation between a position of a quantum particle, a photon, and its internal property, the polariz...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2018/7060586 |
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| author | Monika Richter Bartosz Dziewit Jerzy Dajka |
| author_facet | Monika Richter Bartosz Dziewit Jerzy Dajka |
| author_sort | Monika Richter |
| collection | DOAJ |
| description | Even the subtle and apparently strange quantum effects can sometimes survive otherwise lethal influence of an omnipresent decoherence. We show that an archetypal quantum Cheshire Cat, a paradox of a separation between a position of a quantum particle, a photon, and its internal property, the polarization, in a two-path Mach–Zehnder setting, is robust to decoherence caused by a bosonic infinite bath locally coupled to the polarization of a photon. Decoherence affects either the cat or its grin depending on which of the two paths is noisy. For a pure decoherence, in an absence of photon–environment energy exchange, we provide exact results for weak values of the photon position and polarization indicating that the information loss affects the quantum Cheshire Cat only qualitatively and the paradox survives. We show that it is also the case beyond the pure decoherence for a small rate of dissipation. |
| format | Article |
| id | doaj-art-23f415cc0b4a46d68c5b2d71adf915f3 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-23f415cc0b4a46d68c5b2d71adf915f32025-02-03T01:28:55ZengWileyAdvances in Mathematical Physics1687-91201687-91392018-01-01201810.1155/2018/70605867060586The Quantum Cheshire Cat Effect in the Presence of DecoherenceMonika Richter0Bartosz Dziewit1Jerzy Dajka2Institute of Physics, University of Silesia in Katowice, Katowice, PolandInstitute of Physics, University of Silesia in Katowice, Katowice, PolandInstitute of Physics, University of Silesia in Katowice, Katowice, PolandEven the subtle and apparently strange quantum effects can sometimes survive otherwise lethal influence of an omnipresent decoherence. We show that an archetypal quantum Cheshire Cat, a paradox of a separation between a position of a quantum particle, a photon, and its internal property, the polarization, in a two-path Mach–Zehnder setting, is robust to decoherence caused by a bosonic infinite bath locally coupled to the polarization of a photon. Decoherence affects either the cat or its grin depending on which of the two paths is noisy. For a pure decoherence, in an absence of photon–environment energy exchange, we provide exact results for weak values of the photon position and polarization indicating that the information loss affects the quantum Cheshire Cat only qualitatively and the paradox survives. We show that it is also the case beyond the pure decoherence for a small rate of dissipation.http://dx.doi.org/10.1155/2018/7060586 |
| spellingShingle | Monika Richter Bartosz Dziewit Jerzy Dajka The Quantum Cheshire Cat Effect in the Presence of Decoherence Advances in Mathematical Physics |
| title | The Quantum Cheshire Cat Effect in the Presence of Decoherence |
| title_full | The Quantum Cheshire Cat Effect in the Presence of Decoherence |
| title_fullStr | The Quantum Cheshire Cat Effect in the Presence of Decoherence |
| title_full_unstemmed | The Quantum Cheshire Cat Effect in the Presence of Decoherence |
| title_short | The Quantum Cheshire Cat Effect in the Presence of Decoherence |
| title_sort | quantum cheshire cat effect in the presence of decoherence |
| url | http://dx.doi.org/10.1155/2018/7060586 |
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