Nonergodicity of entanglement and its complementary behavior to magnetization in an infinite spin chain

Journal Article · Wed Dec 01 00:00:00 EST 2004 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.70.060304· OSTI ID:20649877

Sen, Aditi; Sen, Ujjwal; Lewenstein, Maciej ^[1]

---

1. Institut fuer Theoretische Physik, Universitaet Hannover, D-30167 Hannover (Germany)

We consider the problem of the validity of a statistical mechanical description of two-site entanglement in an infinite spin chain described by the XY model Hamiltonian. We show that the two-site entanglement of the state, evolved from the initial equilibrium state, after a change of the magnetic field, does not approach its equilibrium value. This suggests that two-site entanglement, like (single-site) magnetization, is a nonergodic quantity in this model. Moreover, we show that these two nonergodic quantities behave in a complementary way.

• OSTI ID: 20649877
• Journal Information: Physical Review. A, Vol. 70, Issue 6; Other Information: DOI: 10.1103/PhysRevA.70.060304; (c) 2004 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
CORRELATIONS
ENERGY LEVELS
EQUILIBRIUM
HAMILTONIANS
MAGNETIC FIELDS
MAGNETIZATION
QUANTUM MECHANICS
QUANTUM NUMBERS
SPIN