Mutual information and boson radius in a c=1 critical system in one dimension
We study the generic scaling properties of the mutual information between two disjoint intervals, in a class of one-dimensional quantum critical systems described by the c=1 bosonic field theory. A numerical analysis of a spin-chain model reveals that the mutual information is scale invariant and de...
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| Published in | Physical review letters Vol. 102; no. 17; p. 170602 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
United States
01.05.2009
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| Online Access | Get more information |
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| Summary: | We study the generic scaling properties of the mutual information between two disjoint intervals, in a class of one-dimensional quantum critical systems described by the c=1 bosonic field theory. A numerical analysis of a spin-chain model reveals that the mutual information is scale invariant and depends directly on the boson radius. We interpret the results in terms of correlation functions of branch-point twist fields. The present study provides a new way to determine the boson radius, and furthermore demonstrates the power of the mutual information to extract more refined information of conformal field theory than the central charge. |
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| ISSN: | 0031-9007 |
| DOI: | 10.1103/PhysRevLett.102.170602 |