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On Which Length Scales Can Temperature Exist in Quantum Systems? | | Michael Hartmann
; Guenter Mahler
; Ortwin Hess
; | | Date: |
2 Feb 2005 | | Journal: | J. Phys. Soc. Jpn. 74 (Suppl.), p. 26-29 (2005) | | Subject: | Statistical Mechanics; Strongly Correlated Electrons | cond-mat.stat-mech cond-mat.str-el quant-ph | | Abstract: | We consider a regular chain of elementary quantum systems with nearest neighbor interactions and assume that the total system is in a canonical state with temperature $T$. We analyze under what condition the state factors into a product of canonical density matrices with respect to groups of $n$ subsystems each, and when these groups have the same temperature $T$. While in classical mechanics the validity of this procedure only depends on the size of the groups $n$, in quantum mechanics the minimum group size $n_{ ext{min}}$ also depends on the temperature $T $! As examples, we apply our analysis to different types of Heisenberg spin chains. | | Source: | arXiv, cond-mat/0502045 | | Services: | Forum | Review | PDF | Favorites | |
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