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The Heisenberg Model after an Interaction Quench |
| ZHOU Zong-Li1, LI Min1, YE Jian1, LI Dong-Peng2, LOU Ping2, ZHANG Guo-Shun1** |
1School of Science, Anhui Agricultural University, Hefei 230036
2School of Physics and Material Science, Anhui University, Hefei 230039
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| Cite this article: |
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ZHOU Zong-Li, LI Min, YE Jian et al 2014 Chin. Phys. Lett. 31 100502 |
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Abstract In accordance with the recent experimental progress of the controllable spin-spin interactions, the Heisenberg model after an interaction quench is discussed. The Hamiltonian of the system out of equilibrium is introduced and treated by the flow equation method. As a result, the spectrum and zero-point spin deviation are obtained with the help of time-evolved operators. Additionally, other methods are applied to verify the results in mathematics. It is found that the observables show an oscillating behavior. The feasible experimental scheme of the concerned scenario is also mentioned.
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Published: 31 October 2014
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| PACS: |
05.10.Cc
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(Renormalization group methods)
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05.70.Ln
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(Nonequilibrium and irreversible thermodynamics)
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76.60.Es
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(Relaxation effects)
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[1] Greiner M, Mandel O, Esslinger T, Hansch T W and Bloch I 2002 Nature 415 39
[2] Zhu F Y, Tu T, Hao X J, Guo G C and Guo G P 2009 Chin. Phys. Lett. 26 050301
[3] Bloch I, Dalibard J and Zwerger W 2008 Rev. Mod. Phys. 80 885
[4] Kinoshita T, Wenger T and Weiss D S 2006 Nature 440 900
[5] Rigol M, Muramatsu A and Olshanii M 2006 Phys. Rev. A 74 053616
[6] Zhou Z L, Zhang G S and Lou P 2010 Chin. Phys. Lett. 27 067305
[7] Ren J, Wu Y Z and Zhu S Q 2012 Chin. Phys. Lett. 29 060305
[8] Polkovnikov A, Sengupta K, Silva A and Vengalattore M 2011 Rev. Mod. Phys. 83 863
[9] Duan L M, Demler E and Lukin M D 2003 Phys. Rev. Lett. 91 090402
[10] Simon J, Bakr W S Ma R C, Tai M E, Preiss P M and Greiner M 2011 Nature 472 307
[11] Moeckel M and Kehrein S 2008 Phys. Rev. Lett. 100 175702
[12] Kehrein S 2006 The Flow Equation Approach to Many-Particle Systems ed Kehrein S (Berlin: Springer)
[13] Cazalilla M A 2006 Phys. Rev. Lett. 97 156403
[14] Foini L, Cugliandolo L F and Gambassi A 2011 Phys. Rev. B 84 212404
[15] Pollmann F, Haque M and Dora B 2013 Phys. Rev. B 87 041109 |
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