Effects of Spatial Nonlocality versus Nonlocal Causality for Bound Electrons in External Fields
Using numerically exact solution of the time-dependent Schrödinger equation together with time-dependent quantum Monte Carlo (TDQMC) calculations, here we compare the effects of spatial nonlocality versus nonlocal causality for the ground state and for real-time evolution of two entangled electrons...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-06-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/24/6/840 |
| _version_ | 1827660408687689728 |
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| author | Ivan P. Christov |
| author_facet | Ivan P. Christov |
| author_sort | Ivan P. Christov |
| collection | DOAJ |
| description | Using numerically exact solution of the time-dependent Schrödinger equation together with time-dependent quantum Monte Carlo (TDQMC) calculations, here we compare the effects of spatial nonlocality versus nonlocal causality for the ground state and for real-time evolution of two entangled electrons in parabolic potential in one spatial dimension. It was found that the spatial entanglement quantified by the linear quantum entropy is predicted with good accuracy using the spatial nonlocality, parameterized naturally within the TDQMC approach. At the same time, the nonlocal causality predicted by the exact solution leads to only small oscillations in the quantum trajectories which belong to the idler electron as the driven electron is subjected to a strong high frequency electric field, without interaction between the electrons. |
| first_indexed | 2024-03-09T23:50:24Z |
| format | Article |
| id | doaj.art-2b4bcb92d1cb46f9b80924ac0817b102 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-03-09T23:50:24Z |
| publishDate | 2022-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-2b4bcb92d1cb46f9b80924ac0817b1022023-11-23T16:34:00ZengMDPI AGEntropy1099-43002022-06-0124684010.3390/e24060840Effects of Spatial Nonlocality versus Nonlocal Causality for Bound Electrons in External FieldsIvan P. Christov0Physics Department, Sofia University, 1164 Sofia, BulgariaUsing numerically exact solution of the time-dependent Schrödinger equation together with time-dependent quantum Monte Carlo (TDQMC) calculations, here we compare the effects of spatial nonlocality versus nonlocal causality for the ground state and for real-time evolution of two entangled electrons in parabolic potential in one spatial dimension. It was found that the spatial entanglement quantified by the linear quantum entropy is predicted with good accuracy using the spatial nonlocality, parameterized naturally within the TDQMC approach. At the same time, the nonlocal causality predicted by the exact solution leads to only small oscillations in the quantum trajectories which belong to the idler electron as the driven electron is subjected to a strong high frequency electric field, without interaction between the electrons.https://www.mdpi.com/1099-4300/24/6/840quantum nonlocalityquantum entanglementquantum Monte Carlo |
| spellingShingle | Ivan P. Christov Effects of Spatial Nonlocality versus Nonlocal Causality for Bound Electrons in External Fields Entropy quantum nonlocality quantum entanglement quantum Monte Carlo |
| title | Effects of Spatial Nonlocality versus Nonlocal Causality for Bound Electrons in External Fields |
| title_full | Effects of Spatial Nonlocality versus Nonlocal Causality for Bound Electrons in External Fields |
| title_fullStr | Effects of Spatial Nonlocality versus Nonlocal Causality for Bound Electrons in External Fields |
| title_full_unstemmed | Effects of Spatial Nonlocality versus Nonlocal Causality for Bound Electrons in External Fields |
| title_short | Effects of Spatial Nonlocality versus Nonlocal Causality for Bound Electrons in External Fields |
| title_sort | effects of spatial nonlocality versus nonlocal causality for bound electrons in external fields |
| topic | quantum nonlocality quantum entanglement quantum Monte Carlo |
| url | https://www.mdpi.com/1099-4300/24/6/840 |
| work_keys_str_mv | AT ivanpchristov effectsofspatialnonlocalityversusnonlocalcausalityforboundelectronsinexternalfields |