3,302 research outputs found
Dual quantum-correlation paradigms exhibit opposite statistical-mechanical properties
We report opposite statistical mechanical behaviors of the two major
paradigms in which quantum correlation measures are defined, viz., the
entanglement-separability paradigm and the information-theoretic one. We show
this by considering the ergodic properties of such quantum correlation measures
in transverse quantum XY spin-1/2 systems in low dimensions. While entanglement
measures are ergodic in such models, the quantum correlation measures defined
from an information-theoretic perspective can be nonergodic.Comment: 8 pages, 5 figures, REVTeX 4.1; v2: published version, 9 page
Scaling of Entanglement close to a Quantum Phase Transitions
In this Letter we discuss the entanglement near a quantum phase transition by
analyzing the properties of the concurrence for a class of exactly solvable
models in one dimension. We find that entanglement can be classified in the
framework of scaling theory. Further, we reveal a profound difference between
classical correlations and the non-local quantum correlation, entanglement: the
correlation length diverges at the phase transition, whereas entanglement in
general remains short ranged.Comment: 4 pages, 4 figures, revtex. Stylistic changes and format modifie
Entanglement and magnetic order
In recent years quantum statistical mechanics have benefited of cultural
interchanges with quantum information science. There is a bulk of evidence that
quantifying the entanglement allows a fine analysis of many relevant properties
of many-body quantum systems. Here we review the relation between entanglement
and the various type of magnetic order occurring in interacting spin systems.Comment: 29 pages, 10 eps figures. Review article for the special issue
"Entanglement entropy in extended systems" in J. Phys. A, edited by P.
Calabrese, J. Cardy and B. Doyo
Measures and dynamics of entangled states
We develop an original approach for the quantitative characterisation of the
entanglement properties of, possibly mixed, bi- and multipartite quantum states
of arbitrary finite dimension. Particular emphasis is given to the derivation
of reliable estimates which allow for an efficient evaluation of a specific
entanglement measure, concurrence, for further implementation in the monitoring
of the time evolution of multipartite entanglement under incoherent environment
coupling. The flexibility of the technical machinery established here is
illustrated by its implementation for different, realistic experimental
scenarios.Comment: Physics Reports, in pres
Higher order nonclassicalities of finite dimensional coherent states: A comparative study
Conventional coherent states (CSs) are defined in various ways. For example,
CS is defined as an infinite Poissonian expansion in Fock states, as displaced
vacuum state, or as an eigenket of annihilation operator. In the infinite
dimensional Hilbert space, these definitions are equivalent. However, these
definitions are not equivalent for the finite dimensional systems. In this
work, we present a comparative description of the lower- and higher-order
nonclassical properties of the finite dimensional CSs which are also referred
to as qudit CSs (QCSs). For the comparison, nonclassical properties of two
types of QCSs are used: (i) nonlinear QCS produced by applying a truncated
displacement operator on the vacuum and (ii) linear QCS produced by the
Poissonian expansion in Fock states of the CS truncated at (d-1)-photon Fock
state. The comparison is performed using a set of nonclassicality witnesses
(e.g., higher order antiubunching, higher order sub-Poissonian statistics,
higher order squeezing, Agarwal-Tara parameter, Klyshko's criterion) and a set
of quantitative measures of nonclassicality (e.g., negativity potential,
concurrence potential and anticlassicality). The higher order nonclassicality
witness have found to reveal the existence of higher order nonclassical
properties of QCS for the first time.Comment: A comparative description of the higher-order nonclassical properties
of the finite dimensional coherent state
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