Asymmetry Induced Localization

• Authors: H. Kohler
• Languages of publication: EN

Abstracts

EN

We consider a two-level system, which couples via non-commuting operators to two independent oscillator baths. When the coupling is symmetric, the renormalized hopping matrix element is finite even for infinitely strong coupling strength. The two-level system is in a delocalized phase. For finite coupling strength a localization transition occurs for a critical asymmetry angle, which separates the localized from the delocalized phase. Using the method of flow equations we are able to monitor real time dynamics.

Keywords

EN

05.30.-d; 03.65.Yz; 05.45.Mt; 73.23.-b

Discipline

• 03.65.Yz: Decoherence; open systems; quantum statistical methods(see also 03.67.Pp in quantum information; for decoherence in Bose-Einstein condensates, see 03.75.Gg)
• 05.30.-d: Quantum statistical mechanics(for quantum fluids aspects, see 67.10.Fj)
• 73.23.-b: Electronic transport in mesoscopic systems
• 05.45.Mt: Quantum chaos; semiclassical methods

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2013
• Volume: 124
• Issue: 6
• Pages: 1053-1059

Dates

published

2013-12

Contributors

author

H. Kohler

• Instituto de Ciencia de Materiales de Madrid, CSIC, Sor Juana de la Cruz 3, Cantoblanco, 28049 Madrid, Spain

References

• [1] P. Anderson, Phys. Rev. 109, 1492 (1958)
• [2] P.A. Lee, T.V. Ramakrishnan, Rev. Mod. Phys. 57, 287 (1985)
• [3] B. Kramer, McKinnon, Rep. Prog. Phys. 56, 1469 (1992)
• [4] W.H. Zurek, Phys. Rev. D 24, 1516 (1981)
• [5] J.P. Paz, W.H. Zurek, in: Coherent Matter Waves, Les Houches Session, Les Houches Summer School Series, Vol. 72, Eds. R. Kaiser, C. Westbrook, F. David, Springer, Berlin, 2001, p. 533
• [6] M. Schlosshauer, Decoherence and the Quantum to Classical Transition, Frontiers Collection Springer, Berlin 2007
• [7] A.J. Leggett, in: Percolation, Localization and Superconductivity, ASI Series B, Vol. 109, Eds. A.M. Goldman, S. Wolf, NATO, Plenum, New York 1984, p. 1
• [8] A.J. Leggett, S. Chakravarty, A.T. Dorsey, M.P.A. Fisher, A. Garg, W. Zwerger, Rev. Mod. Phys. 59, 1 (1987)
• [9] U. Weiss, Quantum Dissipative Systems, 2nd ed., World Sci., Singapore 1999
• [10] H.P. Breuer, F. Petruccione, The Theory of Open Quantum Systems, Oxford University Press, Oxford 2002
• [11] P.W. Anderson, G. Yuval, J. Phys. C 4, 607 (1971)
• [12] A.J. Bray, M.A. Moore, Phys. Rev. Lett. 49, 1545 (1982)
• [13] R. Silbey, R.A. Harris, J. Chem. Phys. 80, 2615 (1983)
• [14] A.H. Castro Neto, E. Novais, L. Borda, G. Zarand, I. Affleck, Phys. Rev. Lett. 91, 096401 (2003)
• [15] E. Novais, A.H. Castro Neto, L. Borda, I. Affleck, G. Zarand, Phys. Rev. B 72, 014417 (2005)
• [16] C. Guo, A. Weichselbaum, J. von Delft, M. Vojta, Phys. Rev. Lett. 108, 160401 (2012)
• [17] H. Kohler, A. Hackl, S. Kehrein, Phys. Rev. B 88, 205122 (2013)
• [18] D.D. Bhaktavatsala Rao, H. Kohler, F. Sols, New J. Phys. 10, 115017 (2008)
• [19] H. Kohler, F. Sols, Phys. Rev. B 72, 180404 (2005)
• [20] H. Kohler, F. Sols, New J. Phys. 8, 149 (2006)
• [21] H. Kohler, F. Sols, Physica A 392, 1989 (2013)
• [22] A. Cuccoli, N. DelSette, R. Vaia, Phys. Rev. E 81, 041110 (2010)
• [23] A. Cuccoli, A. Fubini, V. Tognetti, R. Vaia, in: Path Integrals: New Trends and Perspectives, Eds. W. Janke, A. Pelster, World Sci., Singapore 2008, p. 500
• [24] D. Giuliano, P. Sodano, New J. Phys. 10, 093023 (2008)
• [25] L. Zhu, Q. Si, Phys. Rev. B 66, 024426 (2002)
• [26] G. Zárand, E. Demler, Phys. Rev. B 66, 024427 (2002)
• [27] E.M. Chudnovsky, J. Tejada, Macroscopic Quantum Tunneling of the Magnetic Moment, Cambridge University Press, Cambridge 1998
• [28] F. Haake, R. Reibold, Phys. Rev. A 32, 2462 (1985)
• [29] S.D. Głazek, K.G. Wilson, Phys. Rev. D 48, 5863 (1993)
• [30] F. Wegner, Ann. Phys. (Leipzig) 3, 77 (1994)
• [31] F. Wegner, J. Phys. A 39, 8221 (2006)
• [32] S. Kehrein, 10.1016/S0550-3213(00)00507-1, Nucl. Phys. B 592, 512 (2001)
• [33] S. Kehrein, A. Mielke, P. Neu, Z. Phys. B 99, 269 (1996)
• [34] S. Kehrein, A. Mielke, Ann. Phys. (Leipzig) 6, 90 (1997)
• [35] S. Kehrein, The Flow Equation Approach to Many Particle Systems, 1st ed., Springer, Heidelberg 2006
• [36] A. Hackl, S. Kehrein, Phys. Rev. B 78, 092303 (2008)
• [37] A. Hackl, S. Kehrein, J. Phys. C 21, 015601 (2009)
• [38] N. Erez, G. Gordon, M. Nest, G. Kuritzki, Nature 452, 724 (2008)
• [39] S. Coleman, Aspects of Symmetry, Selected Erice Lectures, Cambridge University Press, Cambridge 1985
• [40] D. Grempel, R. Prange, S. Fishman, Phys. Rev. A 29, 1639 (1984)

Identifiers

DOI

10.12693/APhysPolA.124.1053