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Quantum
Information and Computation
ISSN: 1533-7146
published since 2001
|
Vol.8 No.3&4
March 2008 |
Entanglement and separability of quantum harmonic oscillator systems at
finite temperature
(pp0245-0262)
Janet
Anders and Andreas Winter
doi:
https://doi.org/10.26421/QIC8.3-4-2
Abstracts: In the present paper we
study the entanglement properties of thermal (a.k.a. Gibbs) states of
quantum harmonic oscillator systems as functions of the Hamiltonian and
the temperature. We prove the physical intuition that at sufficiently
high temperatures the thermal state becomes fully separable and we
deduce bounds on the critical temperature at which this happens. We show
that the bound becomes tight for a wide class of Hamiltonians with
sufficient translation symmetry. We find, that at the crossover the
thermal energy is of the order of the energy of the strongest normal
mode of the system and quantify the degree of entanglement below the
critical temperature. Finally, we discuss the example of a ring topology
in detail and compare our results with previous work in an
entanglement-phase diagram.
Key words:
full separability, entanglement, thermal states, harmonic chains |
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