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Quantifying Entanglement Production of Quantum Operations
V. I. Yukalov
The problem of entanglement produced by an arbitrary operator is formulated and a related measure of entanglement production is introduced. This measure of entanglement production…
Evolutional Entanglement in Nonequilibrium Processes
V. I. Yukalov
Entanglement in nonequilibrium systems is considered. A general definition for entanglement measure is introduced, which can be applied for characterizing the level of entanglement…
Entanglement Measure for Composite Systems
V. I. Yukalov
A general description of entanglement is suggested as an action realized by an arbitrary operator over given disentangled states. The related entanglement measure is defined. Becau…
Mesoscopic Phase Fluctuations: General Phenomenon in Condensed Matter
V. I. Yukalov
General conditions for the occurrence of mesoscopic phase fluctuations in condensed matter are considered. The description of different thermodynamic phases, which coexist as a mix…
Coherent Resonance in Trapped Bose Condensates
V. I. Yukalov, E. P. Yukalova, V. S. Bagnato
Coherent resonance is the effect of resonant excitation of nonlinear coherent modes in trapped Bose condensates. This novel effect is shown to be feasible for Bose-condensed trappe…
Resonant Bose Condensate: Analog of Resonant Atom
V. I. Yukalov, E. P. Yukalova, V. S. Bagnato
The resonant formation of nonlinear coherent modes in trapped Bose-Einstein condensates is studied. These modes represent nonground-state Bose condensates. The methods of describin…
Irreversibility of Time for Quasi-Isolated Systems
V. I. Yukalov
A physical system is called quasi-isolated if it subject to small random uncontrollable perturbations. Such a system is, in general, stochastically unstable. Moreover, its phase-sp…
Expansion Exponents for Nonequilibrium Systems
V. I. Yukalov
Local expansion exponents for nonequilibrium dynamical systems, described by partial differential equations, are introduced. These exponents show whether the system phase volume ex…
Summation of Power Series by Self-Similar Factor Approximants
V. I. Yukalov, S. Gluzman, D. Sornette
A novel method of summation for power series is developed. The method is based on the self-similar approximation theory. The trick employed is in transforming, first, a series expa…
Self-Similar Extrapolation for the Law of Acoustic Emission Before Failure of Heterogeneous Materials
A. Moura, V. I. Yukalov
Acoustic emission before the failure of heterogeneous materials is studied as a function of applied hydrostatic pressure. A formula for the energy release is suggested, which is va…