Fine-grained entanglement loss along renormalization-group flows
- Department d'Estructura i Constituents de la Materia, University of Barcelona, 08028, Barcelona (Spain)
- Department of Physics, University of Oslo, P.O. Box 1048 Blindern, NO-0316 Oslo (Norway)
- Institute for Quantum Information, California Institute for Technology, Pasadena, California 91125 (United States)
We explore entanglement loss along renormalization group trajectories as a basic quantum information property underlying their irreversibility. This analysis is carried out for the quantum Ising chain as a transverse magnetic field is changed. We consider the ground-state entanglement between a large block of spins and the rest of the chain. Entanglement loss is seen to follow from a rigid reordering, satisfying the majorization relation, of the eigenvalues of the reduced density matrix for the spin block. More generally, our results indicate that it may be possible to prove the irreversibility along renormalization group trajectories from the properties of the vacuum only, without need to study the whole Hamiltonian.
- OSTI ID:
- 20650507
- Journal Information:
- Physical Review. A, Vol. 71, Issue 3; Other Information: DOI: 10.1103/PhysRevA.71.034301; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
- Country of Publication:
- United States
- Language:
- English
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