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Dynamics of Loschmidt echoes and fidelity decay
Fidelity serves as a benchmark for the reliability in quantum information processes, and has recently attracted much interest as a measure of the susceptibility of dynamics to perturbations. A rich
Kardar-Parisi-Zhang Physics in the Quantum Heisenberg Magnet.
TLDR
By unambiguously demonstrating that the KPZ scaling function describes magnetization dynamics in the SU(2) symmetric Heisenberg spin chain, it is shown, for the first time, that this is so.
Solvable quantum nonequilibrium model exhibiting a phase transition and a matrix product representation.
  • M. Znidaric
  • Physics, Medicine
    Physical review. E, Statistical, nonlinear, and…
  • 3 November 2010
TLDR
A one-dimensional XX chain under nonequilibrium driving and local dephasing described by the Lindblad master equation is studied and it is shown that the nonequ equilibrium stationary state is not Gaussian.
Many-body localization in the Heisenberg XXZ magnet in a random field
We numerically investigate Heisenberg XXZ spin-1/2 chain in a spatially random static magnetic field. We find that tDMRG simulations of time evolution can be performed efficiently, namely the
Stability of quantum motion and correlation decay
We derive a simple and general relation between the fidelity of quantum motion, characterizing the stability of quantum dynamics with respect to arbitrary static perturbation of the unitary evolution
Is the efficiency of classical simulations of quantum dynamics related to integrability?
  • T. Prosen, M. Znidaric
  • Physics, Medicine
    Physical review. E, Statistical, nonlinear, and…
  • 7 August 2006
Efficiency of time evolution of quantum observables, and thermal states of quenched Hamiltonians, is studied using time-dependent density-matrix renormalization group method in a family of generic
Exact solution for a diffusive nonequilibrium steady state of an open quantum chain
We calculate a nonequilibrium steady state of a quantum XX chain in the presence of dephasing and driving due to baths at chain ends. The obtained state is exact in the limit of weak driving while
Charge and spin transport in strongly correlated one-dimensional quantum systems driven far from equilibrium
We study the charge conductivity in one-dimensional prototype models of interacting particles, such as the Hubbard and the $t\text{\ensuremath{-}}V$ spinless fermion models, when coupled to some
Finite-temperature transport in one-dimensional quantum lattice models
The last decade has witnessed an impressive progress in the theoretical understanding of transport properties of clean, one-dimensional quantum lattice systems. Many physically relevant models in one
Subsystem dynamics under random Hamiltonian evolution
We study time evolution of a subsystem's density matrix under unitary evolution, generated by a sufficiently complex, say quantum chaotic, Hamiltonian, modeled by a random matrix. We exactly
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