Quantum Features of Macroscopic Fields: Entropy and Dynamics
Macroscopic fields such as electromagnetic, magnetohydrodynamic, acoustic or gravitational waves are usually described by classical wave equations with possible additional damping terms and coherent sources. The aim of this paper is to develop a complete macroscopic formalism including random/therma...
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| Format: | Article |
| Language: | English |
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MDPI AG
2019-07-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/21/7/705 |
| _version_ | 1817996757331607552 |
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| author | Robert Alicki |
| author_facet | Robert Alicki |
| author_sort | Robert Alicki |
| collection | DOAJ |
| description | Macroscopic fields such as electromagnetic, magnetohydrodynamic, acoustic or gravitational waves are usually described by classical wave equations with possible additional damping terms and coherent sources. The aim of this paper is to develop a complete macroscopic formalism including random/thermal sources, dissipation and random scattering of waves by environment. The proposed reduced state of the field combines averaged field with the two-point correlation function called single-particle density matrix. The evolution equation for the reduced state of the field is obtained by reduction of the generalized quasi-free dynamical semigroups describing irreversible evolution of bosonic quantum field and the definition of entropy for the reduced state of the field follows from the von Neumann entropy of quantum field states. The presented formalism can be applied, for example, to superradiance phenomena and allows unifying the Mueller and Jones calculi in polarization optics. |
| first_indexed | 2024-04-14T02:26:52Z |
| format | Article |
| id | doaj.art-b3a242aac259425c8802883f66dbb1de |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-04-14T02:26:52Z |
| publishDate | 2019-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-b3a242aac259425c8802883f66dbb1de2022-12-22T02:17:51ZengMDPI AGEntropy1099-43002019-07-0121770510.3390/e21070705e21070705Quantum Features of Macroscopic Fields: Entropy and DynamicsRobert Alicki0International Centre for Theory of Quantum Technologies (ICTQT), University of Gdańsk, 80-308 Gdańsk, PolandMacroscopic fields such as electromagnetic, magnetohydrodynamic, acoustic or gravitational waves are usually described by classical wave equations with possible additional damping terms and coherent sources. The aim of this paper is to develop a complete macroscopic formalism including random/thermal sources, dissipation and random scattering of waves by environment. The proposed reduced state of the field combines averaged field with the two-point correlation function called single-particle density matrix. The evolution equation for the reduced state of the field is obtained by reduction of the generalized quasi-free dynamical semigroups describing irreversible evolution of bosonic quantum field and the definition of entropy for the reduced state of the field follows from the von Neumann entropy of quantum field states. The presented formalism can be applied, for example, to superradiance phenomena and allows unifying the Mueller and Jones calculi in polarization optics.https://www.mdpi.com/1099-4300/21/7/705classical field theoryquantum open systemsvon Neumann entropyMueller Jones calculi |
| spellingShingle | Robert Alicki Quantum Features of Macroscopic Fields: Entropy and Dynamics Entropy classical field theory quantum open systems von Neumann entropy Mueller Jones calculi |
| title | Quantum Features of Macroscopic Fields: Entropy and Dynamics |
| title_full | Quantum Features of Macroscopic Fields: Entropy and Dynamics |
| title_fullStr | Quantum Features of Macroscopic Fields: Entropy and Dynamics |
| title_full_unstemmed | Quantum Features of Macroscopic Fields: Entropy and Dynamics |
| title_short | Quantum Features of Macroscopic Fields: Entropy and Dynamics |
| title_sort | quantum features of macroscopic fields entropy and dynamics |
| topic | classical field theory quantum open systems von Neumann entropy Mueller Jones calculi |
| url | https://www.mdpi.com/1099-4300/21/7/705 |
| work_keys_str_mv | AT robertalicki quantumfeaturesofmacroscopicfieldsentropyanddynamics |