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Entanglement negativity in extended systems: a field theoretical approach

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...

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Publication status:
Published

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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

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