Mutual information and Bose-Einstein condensation
In this work we study an ideal bosonic quantum field system at finite temperature, and in a canonical and a grand canonical ensemble. For a simple spatial partition we derive the corresponding mutual information, a quantity that measures the total amount of information of one of the parts about the...
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| Main Authors: | , , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
May 31, 2013
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| In: |
Open systems & information dynamics
Year: 2013, Volume: 20, Issue: 2 |
| ISSN: | 1573-1324 |
| DOI: | 10.1142/S123016121350008X |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1142/S123016121350008X Verlag, lizenzpflichtig, Volltext: https://www.worldscientific.com/doi/abs/10.1142/S123016121350008X 
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| Author Notes: | C.N. Gagatsos, A.I. Karanikas and G. Kordas |
| Summary: | In this work we study an ideal bosonic quantum field system at finite temperature, and in a canonical and a grand canonical ensemble. For a simple spatial partition we derive the corresponding mutual information, a quantity that measures the total amount of information of one of the parts about the other. In order to find it, we first derive the von Neumann entropy that corresponds to the spatially separated subsystem (i.e. the geometric entropy) and then we subtract its extensive part which coincides with the thermal entropy of the subsystem. In the framework of the grand canonical description, we examine the influence of the underlying Bose-Einstein condensation on the behaviour of the mutual information, and we find that its derivative with respect to the temperature possesses a finite discontinuity at exactly the critical temperature. |
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| Item Description: | Gesehen am 04.03.2021 |
| Physical Description: | Online Resource |
| ISSN: | 1573-1324 |
| DOI: | 10.1142/S123016121350008X |