### 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 x0 for x>0. In the long-time limit, the magnetization evolves into a scaling form m(x,t)=Φ(x/t) and the profile develops a flat part (m=Φ=0) in the |x/t|≤c(m_{0}) region. The flat region shrinks to zero if m_{0}→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.

Original language | English |
---|---|

Pages (from-to) | 4912-4918 |

Number of pages | 7 |

Journal | Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics |

Volume | 59 |

Issue number | 5 B |

Publication status | Published - 1999 |

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### ASJC Scopus subject areas

- Mathematical Physics
- Physics and Astronomy(all)
- Condensed Matter Physics
- Statistical and Nonlinear Physics

### Cite this

*Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics*,

*59*(5 B), 4912-4918.

**Transport in the XX chain at zero temperature : Emergence of flat magnetization profiles.** / Antal, T.; Rácz, Z.; Rákos, A.; Schütz, G. M.

Research output: Contribution to journal › Article

*Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics*, vol. 59, no. 5 B, pp. 4912-4918.

}

TY - JOUR

T1 - Transport in the XX chain at zero temperature

T2 - Emergence of flat magnetization profiles

AU - Antal, T.

AU - Rácz, Z.

AU - Rákos, A.

AU - Schütz, G. M.

PY - 1999

Y1 - 1999

N2 - 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 -m0 for x0 for x>0. In the long-time limit, the magnetization evolves into a scaling form m(x,t)=Φ(x/t) and the profile develops a flat part (m=Φ=0) in the |x/t|≤c(m0) region. The flat region shrinks to zero if m0→1/2 while it expands with the maximum velocity c0=1 for m0→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.

AB - 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 -m0 for x0 for x>0. In the long-time limit, the magnetization evolves into a scaling form m(x,t)=Φ(x/t) and the profile develops a flat part (m=Φ=0) in the |x/t|≤c(m0) region. The flat region shrinks to zero if m0→1/2 while it expands with the maximum velocity c0=1 for m0→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.

UR - http://www.scopus.com/inward/record.url?scp=4243241601&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=4243241601&partnerID=8YFLogxK

M3 - Article

C2 - 11969443

AN - SCOPUS:4243241601

VL - 59

SP - 4912

EP - 4918

JO - Physical review. E

JF - Physical review. E

SN - 2470-0045

IS - 5 B

ER -