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http://hdl.handle.net/2289/6840| Title: | A quantum diffusion law |
| Authors: | Satpathi, Urbashi Sinha, Supurna Sorkin, Rafael D. |
| Keywords: | Brownian motion cold atoms correlation functions |
| Issue Date: | 28-Dec-2017 |
| Publisher: | IOP Publishing and SISSA |
| Citation: | Journal of Statistical Mechanics: Theory and Experiment, 2017, P123105 |
| Abstract: | We analyse diffusion at low temperature by bringing the fluctuation-dissipation theorem (FDT) to bear on a physically natural, viscous response-function $R(t)$ . The resulting diffusion-law exhibits several distinct regimes of time and temperature, each with its own characteristic rate of spreading. As with earlier analyses, we find logarithmic spreading in the quantum regime, indicating that this behavior is robust. A consistent $R(t)$ must satisfy the key physical requirements of Wightman positivity and passivity, and we prove that ours does so. We also prove in general that these two conditions are equivalent when the FDT holds. Given current technology, our diffusion law can be tested in a laboratory with ultra cold atoms. |
| Description: | Restricted Access. An open-access version is available at arXiv.org (one of the alternative locations) |
| URI: | http://hdl.handle.net/2289/6840 |
| ISSN: | 1742-5468 |
| Alternative Location: | http://arxiv.org/abs/1702.06273 http://dx.doi.org/10.1088/1742-5468/aa9bb8 http://adsabs.harvard.edu/abs/2017JSMTE..12.3105S |
| Copyright: | 2017 IOP Publishing and SISSA Medialab srl |
| Appears in Collections: | Research Papers (TP) |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 2017_joStatMech_123105.pdf Restricted Access | Restricted Access | 584.16 kB | Adobe PDF | View/Open Request a copy |
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