Time Evolution of the Magnetic Chains with Uniaxial Anisotropy

• Authors: D. Woźniak , A. Drzewiński , G. Kamieniarz
• Languages of publication: EN

Abstracts

EN

In the framework of the matrix product states representation the effect of the single-ion anisotropy on the time evolution of the initial state after a sudden quench of the local magnetic field has been investigated. The overlap of the initial and time-evolved states, so called the Loschmidt echo, magnetization profiles and correlation functions are presented.

Keywords

EN

75.10.Jm; 76.60.Es; 05.30.-d

Discipline

• 05.30.-d: Quantum statistical mechanics(for quantum fluids aspects, see 67.10.Fj)
• 76.60.Es: Relaxation effects
• 75.10.Jm: Quantized spin models, including quantum spin frustration

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2015
• Volume: 127
• Issue: 2
• Pages: 333-335

Dates

published

2015-02

Contributors

author

D. Woźniak

• Institute of Physics, University of Zielona Góra, Prof. Z. Szafrana 4a, 65-516 Zielona Góra, Poland

author

A. Drzewiński

• Institute of Physics, University of Zielona Góra, Prof. Z. Szafrana 4a, 65-516 Zielona Góra, Poland

author

G. Kamieniarz

• Faculty of Physics, A. Mickiewicz University, Umultowska 85, 61-614 Poznań, Poland

References

• [1] T. Kinoshita, T. Wenger, D.S. Weiss, Nature 440, 900 (2006), doi: 10.1038/nature04693
• [1a] I. Bloch, J. Dalibard, W. Zwerger, Rev. Mod. Phys. 80, 885 (2008), doi: 10.1103/RevModPhys.80.885
• [2] S. Östlund, S. Rommer, Phys. Rev. Lett. 75, 3537 (1995), doi: 10.1103/PhysRevLett.75.3537
• [3] B. Pozsgay, J. Stat. Mech. 13, P10028 (2013), doi: 10.1088/1742-5468/2013/10/P10028
• [4] F.D. Haldane, Phys. Rev. Lett. 50, 1153 (1983), doi: 10.1103/PhysRevLett.50.1153
• [5] I. Affleck, T. Kennedy, E.H. Lieb, H. Tasaki, Phys. Rev. Lett. 59, 799 (1987), doi: 10.1103/PhysRevLett.59.799
• [6] W. Chen, K. Hida, B.C. Sanctuary, Phys. Rev. B 67, 104401 (2003), doi: 10.1103/PhysRevB.67.104401
• [7] F. Verstraete, V. Murg, K. Cirac, Adv. Phys. 57, 143 (2008), doi: 10.1080/14789940801912366
• [8] U. Schollwoeck, Ann. Phys. 326, 96 (2011), doi: 10.1016/j.aop.2010.09.012

Identifiers

DOI

10.12693/APhysPolA.127.333