Operator space entanglement entropy in a transverse Ising chain

Journal Article · Sat Sep 15 00:00:00 EDT 2007 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.76.032316· OSTI ID:21015947

Prosen, Tomaz; Pizorn, Iztok ^[1]

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1. Department of Physics, FMF, University of Ljubljana, Jadranska 19, SI-1000 Ljubljana (Slovenia)

The efficiency of time-dependent density matrix renormalization group methods is intrinsically connected to the rate of entanglement growth. We introduce a measure of entanglement in the space of operators and show, for a transverse Ising spin-1/2 chain, that the simulation of observables, contrary to the simulation of typical pure quantum states, is efficient for initial local operators. For initial operators with a finite index in Majorana representation, the operator space entanglement entropy saturates with time to a level which is calculated analytically, while for initial operators with infinite index the growth of operator space entanglement entropy is shown to be logarithmic.

• OSTI ID: 21015947
• Journal Information: Physical Review. A, Vol. 76, Issue 3; Other Information: DOI: 10.1103/PhysRevA.76.032316; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
DENSITY MATRIX
EFFICIENCY
ENTROPY
INFORMATION THEORY
ISING MODEL
QUANTUM ENTANGLEMENT
QUANTUM OPERATORS
RENORMALIZATION
SIMULATION
SPIN
TIME DEPENDENCE