Abstract
We study a real-time current induced by strong electric field in isolated systems of interacting spinless fermions. It will be demonstrated for a generic (metallic or insulating) system at high temperature that the major nonlinear effects can be accounted by internal heating. We identify a quasi–equilibrium evolution and show that a simple extension of the linear response theory allows one to calculate the real–time current without a formal solution of the time–dependent problem. For stronger electric fields this quasi–equilibrium regime terminates and the Bloch oscillations set in. An anomalous nonlinear response of the integrable systems will also be briefly discussed. Finally we show a simple way of solving an important inverse problem: how to tune an appropriate electromagnetic pulse which in a finite quantum system induces the assumed time–dependent current?
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References
Ogasawara T et al (2000) Phys Rev Lett 85:2204; CavalieriPlease provide article title for all journal references. AL et al (2007) Nature 449:1029–1032; Perfetti L et al (2006) Phys Rev Lett 97:067402
Vandersypen LMK (2004) Appl Phys Lett 85:4394
Greiner M et al (2002) Nature 419:51; Trotzky S et al (2006) Science 319:295
Weiner AM (2000) Rev Sci Instrum 71:1929
Barmettler P (2010) New J Phys 12:055017
Mierzejewski M, Prelovšek P (2010) Phys Rev Lett 105:186405
Mierzejewski M, Vidmar L, Bonča J, Prelovšek P (2011) Phys Rev Lett 106:16401
Mierzejewski M, Bonča J, Prelovšek P (2011) Phys Rev Lett 107:126601; Steinigeweg R et al (2012) arXiv1201.2844S
White SR, Feiguin AE (2004) Phys Rev Lett 93:076401; Schollwöck U (2005) Rev Mod Phys 77:259
Freericks JK et al (2006) Phys Rev Lett 97:266408
Heidrich-Meisner F et al (2009) Phys Rev B 79:235336; Schmitteckert P (2004) Phys Rev B 70:121302(R); Žnidarič M (2011) Phys Rev Lett 106:220601; Prosen T (2011) Phys Rev Lett 107:137201
Oka T, Aoki H (2005) Phys Rev Lett 95:137601; Takahashi A, Itoh H, Aihara M (2008) Phys Rev B 77:205105; Sugimoto N et al (2008) Phys Rev B 78:155104; Eckstein M, Oka T, Werner P (2010) Phys Rev Lett 105:146404
Eckstein M, Werner P (2011) Phys Rev Lett 107:186406
Vidmar L, Bonča J, Mierzejewski M, Prelovšek P, Trugman SA (2011) Phys Rev B 83:134301
Zotos X, Prelovšek P (1996) Phys Rev B 53:983
Zotos X (1999) Phys Rev Lett 82:1764; Sirker J, Pereira RG, Affleck I (2009) Phys Rev Lett 103:216602; Steinigeweg R, Brenig W (2011) Phys Rev Lett 107:250602
Long MW et al (2003) Phys Rev B 68:235106
Park TJ, Light JC (1986) J Chem Phys 85:5870
Acknowledgements
This work has been supported by the Program P1-0044 of the Slovenian Research Agency (ARRS) and RTN-LOTHERM project. M.M. acknowledges support from the N N202052940 project of MNiSW.
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Mierzejewski, M., Bonča, J., Prelovšek, P. (2013). Inducing Current in One Dimensional Systems of Interacting Fermions. In: Zlatic, V., Hewson, A. (eds) New Materials for Thermoelectric Applications: Theory and Experiment. NATO Science for Peace and Security Series B: Physics and Biophysics. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-4984-9_14
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DOI: https://doi.org/10.1007/978-94-007-4984-9_14
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