11 citations · 12 across the 6 of their papers we have counts for
9 papers
One-Particle Resonances and Eigenstate Thermalization in Periodic Free-Fermion Lattices
Tristan Benoist, Vojkan Jakšić, Claude-Alain Pillet +2
We study eigenstate fluctuations of the particle number in the nearest-neighbour free-fermion model on the periodic cubic lattice . For every fixed dime…
Dynamical Conservation Laws in Quantum Spin Systems
Vojkan Jakšić, Claude-Alain Pillet, Anna Szczepanek
We study dynamical conservation laws and the propagation of thermodynamic structure in translation-invariant lattice quantum spin systems. Using Lieb-Robinson bounds [CMP 28 (1972)…
Approach to Equilibrium in Translation-Invariant Quantum Systems: Structural Results II
Vojkan Jakšić, Claude-Alain Pillet, Anna Szczepanek
We continue the development, started in [AHP 25 (2023), 715-749], of a structural theory of approach to equilibrium in translation-invariant quantum spin systems. Dynamical Steady…
Entropy Maximization and Weak Gibbsianity of Quasi-Free Fermionic States
Vojkan Jakšić, Claude-Alain Pillet, Anna Szczepanek
In their 1972 study of approach to equilibrium, Lanford and Robinson showed that gauge-invariant quasi-free states of lattice fermions maximize entropy among all translation-invari…
Dark Subspaces and Invariant Measures of Quantum Trajectories
Tristan Benoist, Clément Pellegrini, Anna Szczepanek
Quantum trajectories are Markov processes describing the evolution of a quantum system subject to indirect measurements. They can be viewed as place dependent iterated function sys…
Eight types of qutrit dynamics generated by unitary evolution combined with 2+1 projective measurement
Anna Szczepanek
We classify the Markov chains that can be generated on the set of quantum states by a unitarily evolving 3-dim quantum system (qutrit) that is repeatedly measured with a projective…
Ergodicity of Kusuoka measures on quantum trajectories
Anna Szczepanek
In 1989 Kusuoka started the study of probability measures on the shift space that are defined with the help of products of matrices. In particular, he derived a sufficient conditio…
Orthogonal Projections on Hyperplanes Intertwined With Unitaries
Wojciech Słomczyński, Anna Szczepanek
Fix a point in a finite-dimensional complex vector space and consider the sequence of iterates of this point under the composition of a unitary map with the orthogonal projection o…
Quantum dynamical entropy, chaotic unitaries and complex Hadamard matrices
Wojciech Słomczyński, Anna Szczepanek
We introduce two information-theoretical invariants for the projective unitary group acting on a finite-dimensional complex Hilbert space: PVM- and POVM-dynamical (quantum) entropi…