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Berlin 2005 – scientific programme

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TT: Tiefe Temperaturen

TT 6: Correlated Electrons - (General) Theory I

TT 6.9: Talk

Friday, March 4, 2005, 16:00–16:15, TU H2053

A Quantum Central Limit Theorem for Interacting Many Particle Systems and its Applications — •Michael Hartmann1,2, Günter Mahler2, and Ortwin Hess31DLR Stuttagrt, Pfaffenwaldring 38-40, 70569 Stuttgart — 2Institut für Theoretische Physik, Universität Stuttgart, Pfaffenwaldring 57, 70550 Stuttgart — 3Advanced Techology Institute, University of Surrey, Guildford GU2 7XH, UK

We present a central limit theorem for the distribution of the total energy in a product state of a quantum many body system with nearest neighbor or next nearest neighbor interactions [1]. Using this result, one can draw estimates on quantities which are functions of the total energy without diagonalizing the Hamiltonian. Interesting examples are the density of states and the partition function [2]. On the other hand, information about the local (subsystem-) states can be obtained, too [3]. An advantage of our approach is its applicability to strongly interacting and frustrated systems.

[1] Hartmann, Mahler and Hess: Lett. Math. Phys. 68 (2004) 103

[2] Hartmann, Mahler and Hess: cond-mat/0406100

[3] Hartmann, Mahler and Hess: Phys. Rev. Lett. 93 (2004) 080402

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