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Quantum phase transition in the one-dimensional period-two and uniform compass model
Quantum phase transition in the one-dimensional period-two and uniform
quantum compass model are studied by using the pseudo-spin transformation
method and the trace map method. The exact solutions are presented, the
fidelity, the nearest-neighbor pseudo-spin entanglement, spin and pseudo-spin
correlation functions are then calculated. At the critical point, the fidelity
and its susceptibility change substantially, the gap of pseudo-spin concurrence
is observed, which scales as (N is system size). The spin correlation
functions show smooth behavior around the critical point. In the period-two
chain, the pseudo-spin correlation functions exhibit a oscillating behavior,
which is absent in the unform chain. The divergent correlation length at the
critical point is demonstrated in the general trend for both cases.Comment: 5 pages, 6 figure
Dark information of black hole radiation raised by dark energy
The "lost" information of black hole through the Hawking radiation was
discovered being stored in the correlation among the non-thermally radiated
particles [Phys. Rev. Lett 85, 5042 (2000), Phys. Lett. B 675, 1 (2009)]. This
correlation information, which has not yet been proved locally observable in
principle, is named by dark information. In this paper, we systematically study
the influences of dark energy on black hole radiation, especially on the dark
information. Calculating the radiation spectrum in the existence of dark energy
by the approach of canonical typicality, which is reconfirmed by the quantum
tunneling method, we find that the dark energy will effectively lower the
Hawking temperature, and thus makes the black hole has longer life time. It is
also discovered that the non-thermal effect of the black hole radiation is
enhanced by dark energy so that the dark information of the radiation is
increased. Our observation shows that, besides the mechanical effect (e.g.,
gravitational lensing effect), the dark energy rises the the stored dark
information, which could be probed by a non-local coincidence measurement
similar to the coincidence counting of the Hanbury-Brown -Twiss experiment in
quantum optics.Comment: 21 pages, 3 figures, complete journal-info of Ref.[4] is added,
comments are welcome ([email protected]
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