- Abstract:
-
We report on a systematic approach for the calculation of the negativity in the ground state of a one-dimensional quantum field theory. The partial transpose ρAT2 of the reduced density matrix of a subsystem A = A1 ∪ A2 is explicitly constructed as an imaginary-time path integral and from this the replicated traces Tr(ρAT2)n are obtained. The logarithmic negativity ε = log ∥ρAT2x∥ is then the continuation to n → 1 of the traces of the even powers. For pure states, this procedure reproduces th...
Expand abstract - Publication status:
- Published
- Publisher copy:
- 10.1088/1742-5468/2013/02/P02008
-
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- Journal:
- JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
- Volume:
- 2013
- Issue:
- 2
- Pages:
- P02008-P02008
- Publication date:
- 2013-02-05
- DOI:
- EISSN:
-
1742-5468
- ISSN:
-
1742-5468
- URN:
-
uuid:4092c73b-149d-433c-8a27-03e64003f19d
- Source identifiers:
-
389169
- Local pid:
- pubs:389169
- Language:
- English
- Keywords:
- Copyright date:
- 2013
Journal article
Entanglement negativity in extended systems: a field theoretical approach
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