195 citations · 289 across the 4 of their papers we have counts for
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Operator Space Entanglement Entropy in XY Spin Chains
Iztok Pizorn, Tomaz Prosen
The complexity of representation of operators in quantum mechanics can be characterized by the operator space entanglement entropy (OSEE). We show that in the homogeneous Heisenber…
Complexity of thermal states in quantum spin chains
Marko Znidaric, Tomaz Prosen, Iztok Pizorn
We study quantum correlations and complexity of simulation, characterized by quantum mutual information and entanglement entropy in operator space respectively, for thermal states…
Quantum phase transition in a far from equilibrium steady state of XY spin chain
Tomaz Prosen, Iztok Pizorn
Using quantization in the Fock space of operators we compute the non-equilibrium steady state in an open Heisenberg XY spin 1/2 chain of finite but large size coupled to Markovian…
The two-body random spin ensemble and a new type of quantum phase transition
Iztok Pizorn, Tomaz Prosen, Stefan Mossmann +1
We study the properties of a two-body random matrix ensemble for distinguishable spins. We require the ensemble to be invariant under the group of local transformations and analyze…
Operator space entanglement entropy in transverse Ising chain
Tomaz Prosen, Iztok Pizorn
The efficiency of time dependent density matrix renormalization group methods is intrinsically connected with the rate of entanglement growth. We introduce a new measure of entangl…
High order non-unitary split-step decomposition of unitary operators
Tomaz Prosen, Iztok Pizorn
We propose a high order numerical decomposition of exponentials of hermitean operators in terms of a product of exponentials of simple terms, following an idea which has been pione…