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Transport in the XX chain at zero temperature: emergence of flat magnetization profiles.
| Content Provider | Semantic Scholar |
|---|---|
| Author | Antal, Tibor Rácz, Zoltán Rakos, Attila Schütz, Gunter M. |
| Copyright Year | 1999 |
| Abstract | We study the connection between magnetization transport and magnetization profiles in zero-temperature XX chains. The time evolution of the transverse magnetization m(x,t) is calculated using an inhomogeneous initial state that is the ground state at fixed magnetization but with m reversed from -m(0) for x<0 to m(0) for x>0. In the long-time limit, the magnetization evolves into a scaling form m(x,t)=Phi(x/t) and the profile develops a flat part (m=Phi=0) in the (x/t)1/2 while it expands with the maximum velocity c(0)=1 for m(0)-->0. The states emerging in the scaling limit are compared to those of a homogeneous system where the same magnetization current is driven by a bulk field, and we find that the expectation values of various quantities (energy, occupation number in the fermionic representation) agree in the two systems. |
| Starting Page | 50 |
| Ending Page | 51 |
| Page Count | 2 |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://www.maths.ed.ac.uk/~antal/Mypapers/spin99.pdf |
| Alternate Webpage(s) | http://juser.fz-juelich.de/record/36781/files/spin99.pdf |
| PubMed reference number | 11969443v1 |
| Volume Number | 59 |
| Issue Number | 5 |
| Part | A |
| Journal | Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Arabic numeral 0 Quantity Test scaling |
| Content Type | Text |
| Resource Type | Article |
