16 research outputs found

    Strengthened Lindblad inequality: applications in non equilibrium thermodynamics and quantum information theory

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    A strengthened Lindblad inequality has been proved. We have applied this result for proving a generalized HH-theorem in non equilibrium thermodynamics. Information processing also can be considered as some thermodynamic process. From this point of view we have proved a strengthened data processing inequality in quantum information theory.Comment: 7 pages, revte

    Spin-glass model with partially annealed asymmetric bonds

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    We have considered the two-spin interaction spherical spin-glass model with asymmetric bonds (coupling constants). Besides the usual interactions between spins and bonds and between the spins and a thermostat with temperature TσT_{\sigma} there is also an additional factor: the bonds are not assumed random {\it a priori} but interact with some other thermostat at the temperature TJT_{J}. We show that when the bonds are frozen with respect to the spins a first order phase transition to a spin-glass phase occurs, and the temperature of this transition tends to zero if TJT_J is large. Our analytical results show that a spin-glass phase can exist in mean-field models with nonrelaxational dynamics.Comment: 10 pages, late

    Kink pairs unbinding on domain walls and the sequence of phase transitions in fully frustrated XY models

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    The unbinding of kink pairs on domain walls in the fully frustrated XY model (on square or triangular lattices) is shown to induce the vanishing of phase coupling across the walls. This forces the phase transition, associated with unbinding of vortex pairs to take place at a lower temperature than the other phase transition, associated with proliferation of the Ising-type domain walls. The results are applicable for a description of superconducting junction arrays and wire networks in perpendicular magnetic field (corresponding to half-integer number of flux quanta per each lattice plaquette), as well as of planar antiferromagnets with a triangular lattice.Comment: 4 pages, ReVTeX, the final versio
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