Classifying Two-Body Hamiltonians for Quantum Darwinism
Quantum Darwinism is a paradigm to understand how classically objective reality emerges from within a fundamentally quantum universe. Despite the growing attention that this field of research has been enjoying, it is currently not known what specific properties a given Hamiltonian describing a gener...
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| Format: | Article |
| Language: | English |
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American Physical Society
2024-12-01
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| Series: | Physical Review X |
| Online Access: | http://doi.org/10.1103/PhysRevX.14.041064 |
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| _version_ | 1846127598274347008 |
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| author | Emery Doucet Sebastian Deffner |
| author_facet | Emery Doucet Sebastian Deffner |
| author_sort | Emery Doucet |
| collection | DOAJ |
| description | Quantum Darwinism is a paradigm to understand how classically objective reality emerges from within a fundamentally quantum universe. Despite the growing attention that this field of research has been enjoying, it is currently not known what specific properties a given Hamiltonian describing a generic quantum system must have to allow the emergence of classicality. Therefore, in the present work, we consider a broadly applicable generic model of an arbitrary finite-dimensional system interacting with an environment formed from an arbitrary collection of finite-dimensional degrees of freedom via an unspecified, potentially time-dependent Hamiltonian containing at most two-body interaction terms. We show that such models support quantum Darwinism if the set of operators acting on the system which enter the Hamiltonian satisfy a set of commutation relations with a pointer observable and with one other. We demonstrate our results by analyzing a wide range of example systems: a qutrit interacting with a qubit environment, a qubit-qubit model with interactions alternating in time, and a series of collision models including a minimal model of a quantum Maxwell demon. |
| format | Article |
| id | doaj-art-4a8fdd3a636746f0b587c92c0598e9f0 |
| institution | Kabale University |
| issn | 2160-3308 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review X |
| spelling | doaj-art-4a8fdd3a636746f0b587c92c0598e9f02024-12-11T15:22:33ZengAmerican Physical SocietyPhysical Review X2160-33082024-12-0114404106410.1103/PhysRevX.14.041064Classifying Two-Body Hamiltonians for Quantum DarwinismEmery DoucetSebastian DeffnerQuantum Darwinism is a paradigm to understand how classically objective reality emerges from within a fundamentally quantum universe. Despite the growing attention that this field of research has been enjoying, it is currently not known what specific properties a given Hamiltonian describing a generic quantum system must have to allow the emergence of classicality. Therefore, in the present work, we consider a broadly applicable generic model of an arbitrary finite-dimensional system interacting with an environment formed from an arbitrary collection of finite-dimensional degrees of freedom via an unspecified, potentially time-dependent Hamiltonian containing at most two-body interaction terms. We show that such models support quantum Darwinism if the set of operators acting on the system which enter the Hamiltonian satisfy a set of commutation relations with a pointer observable and with one other. We demonstrate our results by analyzing a wide range of example systems: a qutrit interacting with a qubit environment, a qubit-qubit model with interactions alternating in time, and a series of collision models including a minimal model of a quantum Maxwell demon.http://doi.org/10.1103/PhysRevX.14.041064 |
| spellingShingle | Emery Doucet Sebastian Deffner Classifying Two-Body Hamiltonians for Quantum Darwinism Physical Review X |
| title | Classifying Two-Body Hamiltonians for Quantum Darwinism |
| title_full | Classifying Two-Body Hamiltonians for Quantum Darwinism |
| title_fullStr | Classifying Two-Body Hamiltonians for Quantum Darwinism |
| title_full_unstemmed | Classifying Two-Body Hamiltonians for Quantum Darwinism |
| title_short | Classifying Two-Body Hamiltonians for Quantum Darwinism |
| title_sort | classifying two body hamiltonians for quantum darwinism |
| url | http://doi.org/10.1103/PhysRevX.14.041064 |
| work_keys_str_mv | AT emerydoucet classifyingtwobodyhamiltoniansforquantumdarwinism AT sebastiandeffner classifyingtwobodyhamiltoniansforquantumdarwinism |