Universality of Entropy Scaling in 1D Gap-less Models

Details Universality of Entropy Scaling in 1D Gap-less Models Universality of Entropy Scaling in 1D Gap-less Models

2003-11-04

arxiv.org/abs/cond-mat/0311056v4

Physical Review Letters, vol 92, issue 9, electronic identifier 096402, 05 March 2004

Physics

Condensed Matter

Strongly Correlated Electrons

A section on spin chains with arbitrary value of spin is included. The entropy of a subsystem is calculated explicitly as a fu

Scientific paper

10.1103/PhysRevLett.92.096402

We consider critical models in one dimension. We study the ground state in thermodynamic limit [infinite lattice]. Following Bennett, Bernstein, Popescu, and Schumacher, we use the entropy of a sub-system as a measure of entanglement. We calculate the entropy of a part of the ground state. At zero temperature it describes entanglement of this part with the rest of the ground state. We obtain an explicit formula for the entropy of the subsystem at low temperature. At zero temperature we reproduce a logarithmic formula of Holzhey, Larsen and Wilczek. Our derivation is based on the second law of thermodynamics. The entropy of a subsystem is calculated explicitly for Bose gas with delta interaction, the Hubbard model and spin chains with arbitrary value of spin.

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