Diffusion of a Massive Quantum Particle Coupled to a Quasi-Free Thermal Medium
We consider a heavy quantum particle with an internal degree of freedom moving on the d-dimensional lattice $${{\mathbb Z}^d}$$(e.g., a heavy atom with finitely many internal states). The particle is coupled to a thermal medium (bath) consisting of free relativistic bosons (photons or Goldstone mode...
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| Main Authors: | , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
22 March 2011
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| In: |
Communications in mathematical physics
Year: 2011, Volume: 303, Issue: 3, Pages: 613-707 |
| ISSN: | 1432-0916 |
| DOI: | 10.1007/s00220-011-1222-0 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1007/s00220-011-1222-0 Verlag, lizenzpflichtig, Volltext: https://link.springer.com/article/10.1007/s00220-011-1222-0 
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| Author Notes: | W. De Roeck, J. Fröhlich |
| Summary: | We consider a heavy quantum particle with an internal degree of freedom moving on the d-dimensional lattice $${{\mathbb Z}^d}$$(e.g., a heavy atom with finitely many internal states). The particle is coupled to a thermal medium (bath) consisting of free relativistic bosons (photons or Goldstone modes) through an interaction of strength λ linear in creation and annihilation operators. The mass of the quantum particle is assumed to be of order λ−2, and we assume that the internal degree of freedom is coupled “effectively” to the thermal medium. We prove that the motion of the quantum particle is diffusive in d ≥ 4 and for λ small enough. |
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| Item Description: | Gesehen am 02.05.2022 |
| Physical Description: | Online Resource |
| ISSN: | 1432-0916 |
| DOI: | 10.1007/s00220-011-1222-0 |