974 citations · 7.3k across the 94 of their papers we have counts for
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Universality in relaxation of spin helices under the - spin chain dynamics
Vladislav Popkov, Marko Žnidarič, Xin Zhang
We describe dynamics of transverse spin-helix state (SHS) -- a product state with spatially rotating magnetization -- under anisotropic Heisenberg XXZ spin chain evolution. Due to…
Kardar-Parisi-Zhang physics in the quantum Heisenberg magnet
Marko Ljubotina, Marko Znidaric, Tomaz Prosen
Equilibrium spatio-temporal correlation functions are central to understanding weak nonequilibrium physics. In certain local one-dimensional classical systems with three conservati…
Nonequilibrium steady-state Kubo formula: equality of transport coefficients
Marko Znidaric
We address the question of whether transport coefficients obtained from a unitary closed system setting, i.e., the standard equilibrium Green-Kubo formula, are the same as the ones…
Spin diffusion from an inhomogeneous quench in an integrable system
Marko Ljubotina, Marko Znidaric, Tomaz Prosen
Generalised hydrodynamics predicts universal ballistic transport in integrable lattice systems when prepared in generic inhomogeneous initial states. However, the ballistic contrib…
Relaxation times of dissipative many-body quantum systems
Marko Znidaric
We study relaxation times, also called mixing times, of quantum many-body systems described by a Lindblad master equation. We in particular study the scaling of the spectral gap wi…
Large-deviation statistics of a diffusive quantum spin chain and the additivity principle
Marko Znidaric
Using the large-deviation formalism, we study the statistics of current fluctuations in a diffusive nonequilibrium quantum spin chain. The boundary-driven XX chain with dephasing c…
Exact large-deviation statistics for a nonequilibrium quantum spin chain
Marko Znidaric
We consider a one-dimensional XX spin chain in a nonequilibrium setting with a Lindblad-type boundary driving. By calculating large deviation rate function in the thermodynamic lim…
Solvable quantum nonequilibrium model exhibiting a phase transition and a matrix product representation
Marko Znidaric
We study a 1-dimensional XX chain under nonequilibrium driving and local dephasing described by the Lindblad master equation. The analytical solution for the nonequilibrium steady…
A matrix product solution for a nonequilibrium steady state of an XX chain
Marko Znidaric
A one dimensional XX spin chain of finite length coupled to reservoirs at both ends is solved exactly in terms of a matrix product state ansatz. An explicit representation of matri…
Long range order in non-equilibrium interacting quantum spin chains
Tomaz Prosen, Marko Znidaric
We conjecture that non-equilibrium boundary conditions generically trigger long range order in non-equilibrium steady states of locally interacting quantum chains. Our result is ba…
Exact solution for a diffusive nonequilibrium steady state of an open quantum chain
Marko Znidaric
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 we…